Bhagya

MP Board Class 10th Special English Grammar Type V

1. Read the dialogue given below. On the basis ot your reading,
fill in the gaps with appropriate words or phrases. Do not add any new information. Write the answers in your answer sheet against the correct blank numbers. (5 marks)

Kali : You impertinent mortal! Nobody ever dared to laugh at me like this. Aren’t you terrified by my form?
Rama : Well, Devi you do look very magnificent and terrifying but I couldn’t help the sudden thought that struck my mind and that is why I laughed.
Kali : What was this thought?
Rama : We mortals have such a problem when we have a cold in just one nose. How do you manage with so many noses?
Kali (laughing herself): That is indeed a funny thought. I bless you for your devotion and wit. Go to the Rajah and he will make you his court jester.

That is how Rama became Tenali Rama, the jester at Raja Krishnadevaraya’s court. The Goddess Kali was very offended by Rama’s behavior. She (a) ……………………… an impertinent mortal and said no one (b) ……………………… laugh at her before. She also (c) ……………………… Rama (d) ……………………… she was magnificent and terrifying but claimed (e) ……………………… amused him so much (f) ……………………… bursting into laughter, (g) ……………………… what thought it-was. Rama (h) ……………………… mortals with one nose had such a problem (i) ……………………… colds and (j) ……………………… what she did with many noses.
Answer:
(a) called Rama
(b) had ever dared to
(c) asked
(id) why he was not terrified though
(e) to know what had
(f) that had resulted in his
(g) Kali asked him
(h) told her that
(i) when they caught
(j) if she caught a cold.

2. Read the dialogue given below. On the basis of your reading, fill in the gaps with appropriate words or phrases.
Do not add any new information. Write the correct answer in your answer sheet against the correct blank number. (5 marks) One year later in court

Gopal : I am ready with my answers, Your Highness.
Nazvab : Good! Now give me the answers. The exact figures.
Gopal : Figures? Figures weren’t part of the agreement. I have done exactly as you asked. The earth is as wide as the thread in the first seven carts here and as long as the thread in the next eight carts. There are just as many stars in the sky as there are hair on these five sheep that I have so carefully selected.
Nawab : Impossible! I can’t measure that thread or count the hair on those sheep. Still you have kept your part of the bargain, so here is your reward.

Gopal said he was ready (a) ……………………… The Nawab (b) ……………………… satisfaction and (c) ……………………… the exact figures, at which Gopal expressed great surprise and asked which figures the Nawab was (d) ……………………… for, as far as he was aware (e) ……………………… no figures in the agreement. He (f) ……………………… exactly as he had been told. He (g) ……………………… the earth which was as wide as the thread in the first seven carts and as long as the thread in the next eight carts. He also (h) ……………………… that there were as many stars in the sky as (i) ……………………… hair on the five sheep that he (j) ……………………… The Nawab had no choice but to reward Gopal as promised.
Answer:
(a) with his answers
(b) was filled with
(c) asked for
(d) talking about
(e) there were
(f) had done
(g) had measured
(h) said
(i) there were
(j) had carefully selected.

3. Read the conversation given below and complete the paragraph. Write the answers in your answer sheet against the correct blank numbers. (5 marks)
Ray : I have invited four of my friends for dinner today.
Renu : Then I’ll invite my friends also.
Ray : That will be a good idea.
Renu : So, what should we have for dinner?
Ray : Let us decide the menu now.

Ray told Renu that (a) ……………………… Then Renu said (b) ……………………… which Ray thought (c) ……………………… When Renu asked (d) ……………………… Ray replied (e) ………………………
Answer:
(a) he had invited four of his friends for dinner that day.
(b) that she would invite her friends also.
(c) would be a good idea.
(d) what they should have for dinner?
(e) that they should decide the menu then.

4. Ram and Shyam are discussing their plans for the weekend.

Complete the dialogue below in a suitable way. Write the answers in your answer sheet against the correct blank numbers. Do not copy the whole sentence. (4 marks)

Ram : What are you doing this weekend, Shyam?
Shyam : I don’t have any special plan.
Ram : How do you like the idea (a) ……………………… the Dal Lake?
Shyam : That sounds lovely; but I (b) ……………………… my parents’ permission.
Ram : I’ll come to your house this evening and request your parents to allow you to join the picnic.
Shyam : Hey, that’s a good idea.
Ram : (c) ……………………… in the evening?
Shyam : Yes, I don’t think they are going out tonight.
Ram : Then I’ll definitely come and meet them. By the way (d)………………………?
Shyam : No, I haven’t, but I have heard it’s a lovely picnic spot.
Answer:
(a) of a visit to
(b) will have to seek
(c) Will your parents be at home
(d) have you ever visited Dal Lake before?

5. Rajani and Vikram are discussing their plan for the evening. Complete the dialogue in any suitable way. Write the answer in your answer sheet against the correct blank numbers. Do not copy the whole sentence. (4 marks)

Vikram : Did you watch the Talk Show program on the TV last week?
Rajani : No, (a) ……………………… when some guests arrived (b)………………………?
Vikram : Yes, it was very interesting. The guests on the show were Maradona and R. Baggio.
Rajani : How sad ¡ misssed it? I wish (c) ……………………… it.
Viicram : Don’t worry. J’ve recorded it. (d) ……………………… it at my place?
Rajani : Definitely. I (e) ……………………… my home work now. I’ll complete it and be at your place in half an hour. Will that be okay for you?
Vikram : Certainly.
Answer:
(a) ¡ had just switched it on
(b) Was it interesting?
(c) I had watched
(d) Can you come and watch
(e) have to do.

MP Board Class 10th English Solutions

MP Board Class 11th Maths Solutions Chapter 9 अनुक्रम तथा श्रेणी Ex 9.2

प्रश्न 1.
1 से 2001 तक के विषम पूर्णांकों का योग ज्ञात कीजिए।
हल:
श्रेणी 1 + 3 + 5 + 7 +….+ 2001
मान लीजिए n वाँ पद 2001 तब
2001 = a + (n – 1)d
= 1+ (n – 1). 2
= 1001

प्रश्न 2.
100 तथा 1000 के मध्य उन सभी प्राकृत संख्याओं का योगफल ज्ञात कीजिए जो 5 के गुणज हों।
हल:
100 और 1000 के बीच की संख्याएँ जो 5 की गुणज हैं उनका योगफल
= 105 + 110 + 115 + ….+ 995
मान लीजिए 995, n वाँ पद है।
n वाँ पद = a + (n – 1) d
⇒ 995 = 105 + (n – 1)5
5. (n – 1) = 995 – 105
= 890
n – 1 = \(\frac{890}{5}\) = 178
या n = 179
अतः योगफल, S₁₇₉ = \(\frac{179}{2}\) [2 × 105 + (179 – 1). 5]
= \(\frac{179}{2}[2 \times 105+178 \times 5]\)
= 179 [105 + 89 × 5]
= 98450.

प्रश्न 3.
किसी समांतर श्रेणी में प्रथम पद 2 है तथा प्रथम पांच पदों का भागफल, अगले पांच पदों के योगफल का एक चौथाई है। दर्शाइए कि 20 वाँ पद – 112 है।
हल:
मान लीजिए, d सार्वअंतर है जबकि a = 2 .
प्रथम पाँच पदों का योगफल = \(\frac{5}{2}\)[2 × 2 + 4 × d]
= 5 [2 + 2d] = 10 (1 + d)
तथा 6 वाँ पद = 2 + (6 – 1). d = 2 + 5d

प्रश्न 4.
समांतर श्रेढ़ी – 6, –\(\frac{11}{2}\),- 5… के कितने पदों का योगफल – 25 है?
हल:
दिया है: a = – 6, d = –\(\frac{11}{2}\) + 6 = \(\frac{1}{2}\)
मान लीजिए n पदों का योगफल – 25 है।
– 25 = \(\frac{n}{2}\left[2 \times(-6)+(n-1) \times \frac{1}{2}\right]\)
– 50 = n [- 12 + \(\frac{1}{2}\)(n – 1)]
= – 12n + \(\frac{1}{2}\) n(n – 1)
– 2 से गुणा करने पर, 100 = 24n – n (n- 1)
= 24n – n² + n .
n² – 25n + 100 = 0 या (n – 5) (n – 20) = 0
n = 5, 20
अतः अभीष्ट पदों की संख्या = 5 या 20.

प्रश्न 5.
किसी समांतर श्रेढ़ी का p वाँ पद \(\frac{1}{q}\) तथा q वाँ पद \(\frac{1}{p}\) हो, तो सिद्ध कीजिए कि प्रथम pq पदों का योग \(\frac{1}{2}\)(pq + 1) होगा, जहाँ p ≠ q.
हल:
मान लीजिए प्रथम पद = a
और सार्व अंतर = d
∴ p वाँ पद = a + (p – 1) d = \(\frac{1}{q}\) …..(1)
q वाँ पद = a + (q – 1)d = \(\frac{1}{p}\) …..(2)
समी (2) को (1) में से घटाने पर,

प्रश्न 6.
यदि किसी समांतर श्रेणी 25, 22, 19,…. के कुछ पदों का योगफल 116 है तो अंतिम पद ज्ञात कीजिए।
हल:
दिया है:
a = 25, d = 22 – 25 = – 3
मान लीजिए इस श्रेणी में n पद हैं।

अतः 8वाँ पद = a + (n – 1)d
= 25 + (8 – 1) (- 3)
= 25 – 21
= 4

प्रश्न 7.
उस समांतर श्रेणी के n पदों का योगफल ज ज्ञात कीजिए जिसका वॉ पद 5k +1 है।
हल :
दिया है, k वाँ पद = T_k = 5k+1
k = 1, 2 रखने पर
T₁ = 5 × 1 +1
= 5 + 1 = 6
T₂ = 5 × 2 +1
= 10 + 1 = 11
d = T₂ – T₁
= 11 – 6 = 5
∴ n पदों का योगफल = \(\frac{n}{2}\)[2a + (n – 1) d]
= \(\frac{n}{2}\)[2 x 6 + (n – 1). 5]
= \(\frac{n}{2}\)[12 + 5n -5]
= \(\frac{n}{2}\)[5n + 7].

प्रश्न 8.
यदि किसी समांतर श्रेणी के पदों का योगफल pn+ar है, जहाँ p तथा अचर हों तो सार्वअंतर ज्ञात कीजिए।
हल:
n पदों का योगफल = \(S_{n}=p n+q n^{2}\)
n = 1, 2 रखने पर

प्रश्न 9.
दो समांतर श्रेणियों के n पदों के योगफल का अनुपात 5n + 4 : 9n + 6 हो, तो उनके 18 वें पदों का अनुपात ज्ञात करो।
हल:
मान लीजिए समातर श्रेणियों के प्रथम पद a₁, a₂, तथा सार्वअंतर d₁ और d₂ हैं। यदि S_n S_n‘ उनके संगत योगफल हैं। T₁₈ और T₁₈ उनके संगत 18 वें पद हैं।

प्रश्न 10.
यदि किसी समांतर श्रेणी के प्रथम p पदों का योग, प्रथम q पदों के योगफल के बराबर हो, तो प्रथम (p + q) पदों का योगफल ज्ञात कीजिए।
हल:
मान लीजिए a प्रथम पद व d सार्व अंतर है।
∴ p पदों का योगफल = \(\frac{p}{2}\)[2a + (p – 1)d] …. (1)
q पदों का योगफल = \(\frac{q}{2}\)[2a + (q – 1)d] ….(2)

प्रश्न 11.
यदि किसी समांतर श्रेणी के प्रथम p, q, r पदों का योगफल क्रमशः a, b, c, हो तो सिद्ध कीजिए कि:
\(\frac{a}{p}(q-r)+\frac{b}{q}(r-p)+\frac{c}{r}(p-q)\) = 0
हल:

प्रश्न 12.
किसी समांतर श्रेणी के m तथा n पदों के योगफलों का अनुपात m² : n² है तो दर्शाइए कि m वें तथा n वें पदों का अनुपात (2m – 1) : (2n – 1) है।
हल:
मान लीजिए समांतर श्रेणी का पहला पद a और सार्व अंतर d है।
∴ m पदों का योगफल = \(\frac{m}{2}\)[2a + (m – 1)d]
n पदों का योगफल = \(\frac{n}{2}\)[2a + (n – 1)d]

प्रश्न 13.
यदि किसी समांतर श्रेणी के n पदों का योगफल 3n² + 5n है तथा इसका m वाँ पद 164 है तो m का मान ज्ञात करो।
हल:

प्रश्न 14.
8 और 26 के बीच ऐसी 5 संख्याएँ डालिए ताकि प्राप्त अनुक्रम एक समांतर श्रेणी बन जाए।
हल:
माना A₁, A₂, A₃, A₄, A₅, संख्या 8 और 26 के बीच डाली गई हैं। जिससे 8, A₁, A₂, A₃, A₄, A₅, 26 समांतर श्रेणी का रूप है।
इस अनुक्रम के कुल पद = 7
पहला पद = 8,
अंतिम पद = 26, यदि सार्व अंतर d हो, तो
26 = a + (n – 1)d = 8 + (7 – 1)d
6d = 26 – 8 = 18,
d = \(\frac{18}{6}\) = 3
दूसरा पद = A₁ = 8 + 3 = 11
A₂ = 11 + 3 = 14
A₃ = 14 +3 = 17
A₄ = 17 + 3 = 20
A₅ = 20 + 3 = 23
अतः A₁, A₂, A₃, A₄, A₅, के मान क्रमशः 11, 14, 17, 20, 23 हैं।

प्रश्न 15.
यदि \(\frac{a^{n}+b^{m}}{a^{n-1}+b^{n-1}}\), a तथा b के मध्य समांतर माध्य हो, तो n का मान ज्ञात कीजिए।
हल:
a और b के बीच समांतर माध्य = \(\frac{a+b}{2}\)

प्रश्न 16.
m संख्याओं को 1 तथा 31 के बीच रखने पर प्राप्त अनुक्रम एक समांतर श्रेणी है। और 7वीं एवं (m – 1) वीं संख्याओं का अनुपात 5 : 9 है, तो m का मान ज्ञात कीजिए।
हल:
मान लीजिए 1, A₁, A₂,…., A_m, 31, समांतर श्रेणी है।
कुल पद = m + 2
अंतिम पद = 31
31 = a + (m + 2 – 1)d = 1 + (m + 1)d

प्रश्न 17.
एक व्यक्ति ऋण का भुगतान 100 रुपए की प्रथम किश्त से शुरू करता है। यदि वह प्रत्येक किश्त में 5 रुपए प्रति माह बढ़ाता है, तो 30 वीं किश्त की राशि क्या होगी?
हल:
पहली किश्त a = 100 रु.
हर माह किश्त में बढ़ोत्तरी = सार्व अंतर = 5 रु.
30वीं किश्त = समांतर श्रेणी का 30वाँ पद
= a + (n – 1)d = 100 + (30 – 1) 5
= 100 + 29 × 5 = 100 + 145 = 245 रु.।

प्रश्न 18.
एक बहुभुज के दो क्रमिक अंत: कोणों का अंतर 5° है। यदि सबसे छोटा कोण 120° हो, तो बहुभुज की भुजाओं की संख्या ज्ञात कीजिए।
हल:
एक n भुजाओं वाले बहुभुज के अंतः कोणों का योग
= 180n – 360 …(1)
दिया है कि एक अंतः कोण = समांतर श्रेणी का पहला पद = 120°
क्रमिक अंतः कोणों का अंतर = समांतर श्रेणी का सार्व अंतर = d = 5
∴ n अंतः कोणों का योग = समांतर श्रेणी के n पदों का योग ।
= \(\frac{n}{2}\)[2a + (n – 1)d]
= \(\frac{n}{2}\)[2 x 120 + (n – 1) x 5]
= \(\frac{n}{2}\)[240 + 5n – 5]
= \(\frac{n}{2}\)[5n + 235] …(2)
समी (1) और (2) से, \(\frac{n}{2}\)[5n + 235] = 180n – 360
या 5n² + 235 n = 360n – 720
या 5n² – 125n + 720 = 0
या n² – 25n + 144 = 0
∴ (n – 16) (n – 9) = 0
∴ n = 16, 9
n ≠ 16 इसलिए n = 9.

MP Board Class 11th Maths Solutions

MP Board Class 10th Special English Telegram Writing

1. Your friend Samir has passed Higher Secondary Examination in first division. Send a telegram of congratulations to him.
(M.P. Board 2012)
Answer:
A great exciting news congratulations for getting such a nice result. You have really brought laurels to all of us. Hope to meet you soon to celebrate.

-Samir

2. Ram wrote the following letter to Gopal. Then he decided to send a telegram instead of the letter. Using relevant information from the letter, write this telegram using not more than 20 words.
Chandigarh,
17 June, 20xx

Dear Gopal,
My sister has sponsored me to go to Australia for higher studies. I have gone through all the formalities and will be leaving India on the morning of 25th June from Mumbai. I will be arriving in Mumbai by Konark Express on 23rd June along with my parents and my sister. I’d be very grateful if you could arrange a good hotel for three days for us. Could you possible meet us at the station too?

Hoping to see you soon

Yours affectionately
Ram
(M.P. Board 2012)
Answer:
Scheduled to go to Australia for studies. Arriving Mumbai on 23 June with parents and sister by Konark Express. Arrange hotel for 3 days.

-Ram

3. Natasha wrote the following letter to her father. Later she decided to send a telegram instead. Using relevant information from the letter, write this telegram using not more than 25 words inclusive of the receiver’s address. Copy the format of the telegram from the question paper in your answer sheet. (5 marks)
Burhanpur ‘
March 3, 20xx
Dear father,
I had a comfortable journey but on arrival I found that I had forgotten my library notes on History along with the text-book. I think they were lying on the top of the bookshelf in my room. I need these urgently for my exams.
Please send the notes through courier mail. I also need Rs. 400 to pay the fee for my coaching classes in Maths. Regards and love Natasha
Answer:

Receiver’s Name : Receiver’s Address :		B.N. BOSE 33, BURMAN STREET, BURDWAN
ARRIVED	COMFORTABLY	STOP	FORGOT	HISTORY	SYLLABUS
ON	BOOKSHELF	IN	MY	ROOM	STOP
SEND	THROUGH	COURIER	URGENTLY	ALONG WITH	1 400
FOR	MATHS	COACHING	CLASS	STOP
Sender’s Name : NATASHA
(Not to be Telegraphed) Sender’s Address : ROOM NO. 36, SAROJINI GIRLS’ SCHOOL, BURHANPUR

4. You are Lalith Kumar working in a private firm in Mumbai. You are to go home on leave on the 21st of April. But you are unable to do so as you have some urgent work to do. You are not sure of the date of your arrival. Send a telegram to your parents in Kolkata using not more than 25 words inclusive of the receiver’s address. Copy the format of the telegram from the question paper in your answer sheet.
Answer:

Receiver’s Name : Receiver’s Address :		SHRI AMIT KUMAR 36, TOLLY GANJ, KOLKATA
UNABLE	TO	COME	ON	21st	APRIL
DUE	TO	URGENT	OFFICIAL	WORK	STOP
WILL	INFORM	YOU	OF	ARRIVAL	SOON
STOP	TAKE	CARE	STOP
Sender’s Name : LALITH KUMAR
(Not to be Telegraphed) Sender’s Address : C-32, TAKSHILA APARTMENTS, MUMBAI

5. Mr. Sijo Jose wrote the following letter to the Manager, Hotel Narayani, Kathmandu, N’epal. He then decided to send a telegram. Using relevant information from the letter given below, write this telegram, using not more than 25 words inclusive of the receiver’s address. Copy the format of the telegram from the question paper in your answer sheet.

24, Connaught Circus,
New Delhi
6th November, 20xx

Sir,
Mrs. Menon, our Sales Manager, will be visiting Kathmandu on 20th November, on official work. She will be staying at the hotel for 3 days and will be accompanied by her Secretary, Mrs. Naik. I shall be grateful if you would kindly book two adjoining rooms in your hotel for three days. They intend checking in on the night of 19th November. Kindly confirm the booking at the earliest.

Thanking you,

Yours faithfully,
Sijo Jose
Answer:

Receiver’s Name : Receiver’s Address :		MANAGER HOTEL NARAYANI, KATHMANDU, NEPAL
OUR	SALES	MANAGER	MRS.	MENON	REACHING
KATHMANDU	ON	19″‘	NOV.	AT	NIGHT
ALONG WITH	SECRETARY	STOP	BOOK	TWO	ADJOINING
ROOMS	FOR	THREE	DAYS	STOP
Sender’s Name: SIJO JOSE
(Not to be Telegraphed) Sender’s Address : 24, CONNAUGHT CIRCUS, NEW DELHI

6. Sudhir wrote the following letter to his friend Verma. Later he decided to send a telegram instead of the letter. Using relevant information from the letter, write this telegram using not more than 25 words inclusive of the receiver’s address. Copy the for-mat of telegram from the question paper in your answer sheet.
115 Sector-D
Dombivilli, Mumbai
Oct. 23, 20xx
Dear Verma,

I shall now get an opportunity to see you. You will be glad to know that I have been called for an interview for the post of Regional Sales Manager by Bayer (India) Pharma, Patna. So I will be arriving in Patna by the Inter City Express on November 14 in the morning. Please book one room in a good hotel. Could you possibly meet me at the Railway Station?

Yours sincerely,
Sudhir
Answer:

Receiver’s Name : Receiver’s Address :		VERMA 236, ABC NAGAR, PATNA
MESSAGE	REACHING	PATNA	NOV.	14	BY
INTER	CITY	EXPRESS	STOP	INTERVIEW	IN
BAYER	(INDIA)	PHARMA	STOP	BOOK	ROOM
IN	GOOD	HOTEL	STOP	MEET	ME
AT	RAILWAY	STATION	STOP.
Sender’s Name : SUDHIR
(Not to be Telegraphed) Sender’s Address : 115 SECTOR-D, DOMB1VILLI, MUMBAI

7. You are Rani, staying in the hostel of Vidhyodhaya Public School, Chennai. Your school is organizing an educational tour to Hyderabad. You decide to send a telegram to your father, Shri Ram Lai living at 1, 39th Street, Erode-86, requesting him to give you permission to join the tour and send you rupees one thousand for the tour expenses. Copy the format given below in your answer sheet and write the telegram in not more than 25 words.
Answer:

8. You are Abhishek, living in Ambala. The elder brother of your friend Anand who is living at 1, Wallace Garden, Chennai-4, is getting married. You promised him that you would attend his marriage.. But you have your mid-term examinations on the day of the marriage. You decide to send him a telegram expressing your inability to attend the marriage and congratulating him. Copy the format given below in your answer sheet and write the telegram in not more than 25 words. .
Answer:

9. You are Vikram/Vasantha of Class X studying in Sun Resi-dential School, Chennai, staying in the school hostel. You are participating in an Inter School drama competition. You require money urgently for getting the necessary costume stitched and for paying the entrance fee. Draft a telegram in not more than 20 words to be sent to your parents in Trivandrum. Copy the format of the telegram from the question paper in your answer sheet.
Answer:
Sender’s Name : VASANTHA

10. You are Vikram/Vasantha of Class X studying in Sun Residen-tial School, Chennai, staying in the school hostel. You wish to join a crash course in Computers. Draft a telegram in not more than 20 words to your father in Visakhapatnam seeking his per-mission and requesting him to send you the registration fees of Rs. 100 immediately. Copy the format for the telegram from the question paper in your answer sheet.
Answer:

11. You are Rekha/Ravi. You are to attend a swimming coaching camp at Chennai from 16th to 22nd of April. Write a telegram to your friend Rakesh/Rajani in Chennai asking him/her to meet you at the station and take you to the club where accommodation is arranged, as the place is not familiar to you. Copy the format of the telegram from the question paper in your answer sheet.
Answer:

12. You are Ramganesh. Write a telegram to your uncle Vijayram informing him about your visit to Kolkata with five of your friends. You will spend a week in Kolkata and will require transport for sight-seeing. Also request him to book tickets for your return journey. Write this telegram using not more than 25 words inclusive of the receiver’s address. Copy the format of the telegram from the question paper in your answer sheet.
Answer:

MP Board Class 10th English Solutions

MP Board Class 10th Special English Grammar Type IV

1. Complete the following passage by using appropriate words in the blanks. Write the answers in your answer sheet against the correct blank numbers. (5 marks)

A man saw a thief breaking into a house. Instead (a) …………………………… raising a cry he decided to catch (b) …………………………… thief red-handed. He entered the house (c) …………………………… the window and moved stealthily (d) …………………………… the door. The room (e) …………………………… pitch dark and he (f) …………………………… not hear anything, (g) …………………………… he approached the door, it suddenly (h) from the other side. The other man asked, “What (i) …………………………… you doing in (j) …………………………… house?”
Answer:
(a) of
(b) the
(c) through
(d) towards
(e) was
(f) could
(g) As
(h) opened
(i) are
(j) my.

2. Complete the passage below by writing one suitable word in each blank. Write the answers in your answer sheet against the correct blank numbers. (5 marks)

Sometimes the weathermen fail to make accurate predictions. People crack jokes at (a) …………………………… hut the meteorologists as they are (b) …………………………… are helpless. There is nothing (c) …………………………… unpredictable as the weather. There is a toad in my home (d) …………………………… comes out in the evenings (e) …………………………… catch flies and other insects that come its way. (f) …………………………… toad is (g) …………………………… reliable weatherman. Normally it is silent but (h) …………………………… the rains come, it happily croaks. Listen to a toad and by (i) …………………………… the modulations of its voice you (j) …………………………… be forewarned about the arrival of rains.
Answer:
(a) them
(b) humans
(c) as
(d) that
(e) to
(f) The
(g) a
(h) when
(i) hearing
(j) can

3. Given below is a set of instructions to be followed by a person suffering from influenza. Complete the paragraph that follows. Write the answers in your answer sheet against the correct blank number. (4 marks)
(a) Avoid milk and milk products.
(b) Make a decoction of about ten mint leaves in a cup of water.
(c) Add a tea spoon of honey before drinking it at bedtime.
(d) Keep a cut onion by the side of the bed to inhale.
(e) Take a salad prepared from radish twice a day.

Milk and milk products are to be avoided. A decoction of about
(a) …………………………… in a cup of water (b) A tea spoon of …………………………… before it is drunk at bedtime. A cut onion (c) …………………………… so that it can be inhaled. A salad prepared (d) ……………………………
Answer:
(a) ten mint leaves is to be made
(b) honey should be added to it
(c) should be kept by the side of the bed
(d) from radish should be taken twice a day.

4. Many applications were received for the post of a Scientist in a space research organisation. Given below is the bio-data of Dr. Harish. Use the information to complete the paragraph by writing suitable words or phrases in each space. Do not add any new information. Write only the correct answer against the correct blank number in your answer sheet. (5 marks)

Bio-Data of Dr. Harish Qualification : Ph.D. (Nuclear Science) Diploma in Computers Age : 35 years Present Occupation : Working in a space centre as Senior Scientist Hobbies : Reading, Concert Violinist, Net-surfing, Research

Profile of Dr. Harish
Dr. Harish is one of the many applicants for the post of a Scientist in a space research organisation. Besides a (a) …………………………… he has (b) …………………………… He is young and is at present (c) …………………………… He spends his time (d) …………………………… and (e) ……………………………
Answer:
(a) Ph.D. in Nuclear Science
(b) a Diploma in Computers
(c) working in a space centre as a Senior Scientist
(d) in reading, net-surfing, research
(e) he is also a concert violinist.

5. Complete the paragraph given below by writing one suitable word in each space. Write the answers in your answer sheet against the correct blank numbers. (4 marks)

More than half of Holland’s 13 million people live on land that (a) …………………………… be under their feet at all. (b) …………………………… is the land called “polders” that the “Dutch (c) …………………………… from the sea (d) …………………………… many generations. Now it comprises (e) …………………………… 50% of Holland’s 12,798 sq. miles. (f) …………………………… wrested of the polders lie below sea level (g) …………………………… a 1200 mile bulwark of coastal drives are man-made dams (h) …………………………… dikes.
Answer:
(a) shouldn’t
(b) This
(c) have
(d) through
(e) about
(f) Most
(g) with
(h) and

6. Below you can see a set of instructions for making Chinese Blossom tea. Complete the following paragraph which describes how Blossom tea is made. Write the answers in your answer sheet against the correct blank number. (4 marks)

Boil four cups of water and 2 tablespoons of tea boil for 5 minutes rinse tea pot with boiling water put layer of rose, mogra or jasmine flowers pour tea and let it stand for 5 minutes serve before/after meal.

When the water has boiled, (a) …………………………… and allowed to boil for five minutes. Meanwhile, the tea pot (b) …………………………… with boiling water. A layer of either rose, jasmine, or mogra flowers is then (c) …………………………… However, it should not be served immediately. It (d) …………………………… five minutes before it is served.
Answer:
(a) two tablespoons of tea should be added
(b) should be rinsed
(c) put into the tea pot.
(d) should be allowed to stand for.

7. Below you can see a letter from Sanjana written to her friend. Complete this letter by writing one suitable word in each space. correct blank number. (5 marks)

Dear Rita,
Hi! I bet you’re green with envy at the fact (a) …………………………… I’m Write the answers in your answer sheet against the really enjoying myself here. We have been going (b) …………………………… treks almost every day and the landscapes are literally breath-taking! Yesterday we trekked up to the (c) …………………………… peak—China Rose. You (d) …………………………… see the whole of Yoku from up there, (e) …………………………… it looks like (f) …………………………… adorable little village. I’m taking a little time to adjust to the food, (g) …………………………… the sweets here are really out of this world! The people are very friendly and we go horse-riding, (h) …………………………… neighbors (i) …………………………… trying to understand (j) …………………………… customs.

Bye, for now, Love to all,
Sanjana
Answer:
(a) that
(b) on
(c) highest
(d) can
(e) and
(f) an
(g) but
(h) with
(i) while
(j) their

8. Complete the paragraph given below by writing one suitable word in each space. Write only the answer against the correct blank number in your answer sheet. (1/2 x 8 = 4 marks)

Every now and then we are reminded how little we really know (a) …………………………… our past. Small discoveries (b) …………………………… a little bit of pottery, (c) …………………………… scrap (d) …………………………… metal, all tell (e) …………………………… stories we are eager (f) …………………………… unravel. One of the most fascinating stories that (g) …………………………… now beginning to unfold is (h) …………………………… of 15th century China and the tell-tale agents are bits of pottery.
Answer:
(a) about
(b) as / like
(c) a
(d) of
(e) us
(f) to
(g) is
(h) that

9. Below is a letter of complaint to the Inspector of street lighting of your locality. Complete the letter by filling in the blanks with suitable words. Write the answers in your answer sheet against the correct blank numbers. (5 marks)

Dear Sir,
Allow me (a) …………………………… bring to your (b) …………………………… the failure of the street (c) …………………………… of Hanuman Lane. Not only is this lane in a an (d) …………………………… need of repair but it also badly (e) …………………………… street (f) …………………………… which is essential if one is to walk along it at (g) …………………………… The absence of lights often (h) …………………………… antisocial elements. The womenfolk around here feel (i) …………………………… of walking on this road in the dark. Will you kindly take (j) …………………………… action for providing lighting on this lane?

Thanking you,
Yours faithfully,
Suraj
Answer:
(a) to
(b) notice
(c) lights
(d) urgent
(e) needs
(f) lighting
(g) night
(h) attracts
(i) scared
(j) an immediate

10. Given below is a letter of congratulations on your friend’s brother’s passing the Board Examination. It has a few blanks. Fill in those blanks with suitable words. Write the answers in your answer sheet against the correct blank numbers. (5 marks)

Dear Shashi,
Allow me (a) …………………………… congratulate you (b) …………………………… Mohan’s passing his final Board Exams. You must all be (c) …………………………… that his time of anxiety is now (d) …………………………… It is really satisfying when one (e) …………………………… by hard work. Of various factors responsible (f) …………………………… his success, your concern for his studies and health (g) …………………………… has played a very important role, I am sure. Please write what he (h) …………………………… to do now. How about (i) …………………………… at NDA? He (j) …………………………… also think of trying for admission to National School of Drama.

Yours sincerely,
Ravi
Answer:
(a) to
(b) on
(c) glad
(d) over
(e) succeeds
(f) for
(g) indeed
(h) intends
(i) applying
(j) must

11. Fill in the blanks using a suitable word each. Write the answers in your answer sheet against the correct blank numbers. (1/2 x 6 = 3 marks)

Once upon a time there was a man called Smith. He was a green grocer (a) …………………………… lived in Clapham. He (b) …………………………… four sons, (c) …………………………… eldest was called George after the king and (d) …………………………… was arranged that he was (e) …………………………… inherit his father’s shop. So (f) …………………………… school he went to special Botany classes.
Answer:
(a) who
(b) had
(c) The
(d) it
(e) to
(f) after

12. Fill in the blanks below using a suitable word each. Write the answers in your answer sheet against the correct blank numbers. (1/2 x 6 = 3 marks)

(a) …………………………… interviewing first standard students (b) …………………………… were candidates for a special program for gifted children, (c) …………………………… of the questions asked was what life would be (d) …………………………… 100 years hence. Ravi, one of the candidates answered, “one thing is for sure, February (e) …………………………… be the longest month of the year as it should be near to 50 to 60 days a month as they add a day to it (f) …………………………… four years”.
Answer:
(a) While
(b) few
(c) one
(d) from
(e) would
(f) every

13. Read the dialogue given below. On the basis of your reading, complete a paragraph that follows without adding any new information. Write the answers in your answer sheet against the correct blank numbers. (5 marks)

Wife : Our servant has run away.
Husband : Is anything missing?
Wife : Yes, my gold watch.
Husband : Where did you keep it?
Wife : On the dressing table, as usual.
Husband : I am going to the police to report,

Wife told her husi, and that (a) …………………………… Husband asked the wife (b) …………………………… The wife told him that (c) …………………………… The husband then asked her where (d) …………………………… and told her that he (e) ……………………………
Answer:
(a) their servant had run away.
(b) if anything was missing.
(c) her gold watch was missing.
(d) she had kept it
(e) was going to the police to report.

14. Study the cartoon strip given below and report the dialogue between Mr. Jude and his children. Write the answers in your answer sheet against the correct blank numbers. (3 marks)

Mr. Jude asked his children (a) …………………………… supposed to have a quiet Sunday morning. Jack agreed saying that (b) …………………………… and Dick commented (c) …………………………… and asked his father whether they were not well-behaved.
Answer:
(a) why they were watching television when they were
(b) he was right and they had forgotten about it.
(c) that they were anyway sitting nicely and quietly.

15. Look at the picture and read the dialogues between the two girls. You have now to report it to your English Teacher. Complete the blanks with appropriate expressions. Write your answers in the answer sheet against the correct blank number. (3 marks)

Rashmi asked Sweta (a) …………………………… Sweta told with concern that (b) …………………………… except that she had read only general articles etc. Rashmi assured her not to worry as (c) …………………………… Sweta looked relieved at Rashmi’s assurance and thanked her for her consoling words.
Answer:
(a) why she looked so worried.
(b) she had not prepared herself well for the exams.
(c) reading general articles from magazines and newspapers were necessary for developing reading skills.

16. Read part of a panel discussion recorded below and then complete the report based on it. Write the correct answer in your answer sheet against the correct blank number. Do not add any new information. Do not copy the whole sentence. (5 marks)

Host : We’re going to talk about TV news programs. Are so many of them necessary?
Let’s start with Alka on my right. Alka, what do you think?

Alka : Well, I think it is important to know what is going on around us and good news programs do keep us well informed. But I do not see why there should be so many of them. It becomes repetitious and boring.

Host : I don’t think Balu quite agrees with that. Balu?

Balu : I don’t think there are too many news programs at all. In fact, we need different kinds of programmes to cater to different interests.

There was a panel discussion on the television about news programs. The Host introduced the topic and raised some questions. He (a) …………………………… so many programmes were necessary. Alka, one of the participants, said that though news programs keep us well-informed, she felt there (b) …………………………… them and that made them repetitious and boring. Balu, another participant, (c) …………………………… her said that he did not think there were too many news programs at all. He felt different kinds of programmes (d) …………………………… to cater to different interests.
Answer:
(a) asked if
(b) should not be so many of
(c) who disagreed with
(d) were needed

17. Read the conversation given below and complete the report. Write the correct answer in your” answer sheet against the correct blank number. Do not copy the whole sentence. (5 marks)

A patient went to his doctor’s clinic and asked the receptionist if he could have an appointment with the doctor. The receptionist (a) …………………………… saying that (b) …………………………… for at least two weeks. The disappointed patient (c) …………………………… by then. The receptionist calmly replied that (d) …………………………… and reassured him that (e) …………………………… cancel the appointment.
Answer:
(a) said she was sorry
(b) she could not fit him in
(c) said that he would be dead
(d) it was not a problem
(e) if his wife informed her she could

18. Complete the passage below by writing one suitable word in each space. Write the correct answers in your answer sheet against the correct blank number. (1/2 x 8 = 4 marks)

Spiders are the most fascinating of nature’s smaller creatures. Several hundred species of spiders are (a) …………………………… in India. They are often shy and most are short-sighted. They are quick to get away (b) …………………………… we come too close. They don’t sting often nor is (c) …………………………… bite severely. Some ant-bites hurt (d) …………………………… than a spider’s sting. A large number of spiders inhabit our environment, (e) …………………………… the females of only two kinds are known to be dangerous. Many of the deadly looking and hairy spiders (f) …………………………… not harm us. So there is no justification at all for (g) …………………………… in superstitions and myths about spiders. Slowly but surely these incorrect notions about spiders will (h) …………………………… dispelled.
Answer:
(a) found
(b) when
(c) their
(d) more
(e) But
(f) do
(g) believing
(h) be

MP Board Class 10th English Solutions

MP Board Class 11th Maths Solutions Chapter 8 द्विपद प्रमेय विविध प्रश्नावली

प्रश्न 1.
यदि (a + b)ⁿ के प्रसार में प्रथम तीन पद क्रमशः 729, 7290 तथा 30375 हों तो a, b तथा n ज्ञात कीजिए।
हल:

प्रश्न 2.
यदि (3 + ax)⁹ के प्रसार में x² और x³ के गुणांक समान हों, तो a का मान ज्ञात कीजिए।
हल:

प्रश्न 3.
द्विपद प्रमेय का प्रयोग करते हुए गुणनफल (1 + 2x)⁶ (1 – x)⁷ में x का गुणांक ज्ञात कीजिए।
हल:
\((1+2 x)^{6}=1+6 C_{1}(2 x)+6 C_{2}(2 x)^{2}+6 C_{3}(2 x)^{3}\) + \(^{6} C_{4}(2 x)^{4}+^{6} C_{5}(2 x)^{5}+\ldots\)

इन दोनों के गुणनफल में से x⁵ के गुणांक का चयन करते हुए
x⁵ का गुणांक = 192 – 7 – 240 + 21 x 160 – 35 x 60 + 35 x 12 – 21 x 1
= 192 – 1680 + 3360 – 2100 + 420 – 21
= 171.

प्रश्न 4.
यदि a और b भिन्न-भिन्न पूर्णांक हों, तो सिद्ध कीजिए कि aⁿ – bⁿ का एक गुणनखंड (a – b) है, जबकि n एक धन पूर्णांक है।
हल:
a = b + (a – b)
aⁿ = [b + (a – b)]ⁿ

अतः स्पष्ट है कि aⁿ – bⁿ का a – b एक गुणनखण्ड है।

प्रश्न 5.
\((\sqrt{3}+\sqrt{2})^{6}-(\sqrt{3}-\sqrt{2})^{6}\) का मान ज्ञात कीजिए।
हल:

प्रश्न 6.
\(\left(a^{2}+\sqrt{a^{2}-1}\right)^{4}+\left(a^{2}-\sqrt{a^{2}-1}\right)^{4}\) का मान ज्ञात कीजिए।
हल:

प्रश्न 7.
(0.99)⁵ प्रसार के पहले 3 पदों का प्रयोग करते हुए इसका निकटतम मान ज्ञात कीजिए।
हल:
(0.99)⁵ = \((1-0.01)^{5}=1-^{5} C_{1}(0.01)+^{5} C_{2} \times(0.01)^{2}+\ldots\)
= 1 – 5 x 0.01 + 10 x 0.0001
= 1 – 0.05 + 0.001
= 1.001 – 0.05
= 0.951.

प्रश्न 8.
यदि \(\left(\sqrt[4]{2}+\frac{1}{\sqrt[4]{3}}\right)^{n}\) प्रसार में आरम्भ से 5वें और अंत से 5 वें पद का अनुपात \(\sqrt{6}\) : 1 हो, तो n का मान ज्ञात कीजिए।
हल:
\(\left(\sqrt[4]{2}+\frac{1}{\sqrt[4]{3}}\right)^{n}\) के प्रसार में आरंभ से 5 वां पद

दिए गए व्यंजक के प्रसार में n + 1 पद हैं।
अंत से 5 वाँ पद = [(n + 1) – 5 + 1]वाँ पद प्रारंभ से (n – 3) वाँ पद
= \(^{n} C_{n-4}(\sqrt[4]{2})^{n-(n-4)}\left(\frac{1}{\sqrt[4]{3}}\right)^{n-4}\)

या \(\frac{n}{4}=2+\frac{1}{2}=\frac{5}{2}\)
n = 10.

प्रश्न 9.
\(\left(1+\frac{x}{2}-\frac{2}{x}\right)^{4}\), x ≠ 0 का द्विपद प्रमेय द्वारा प्रसार ज्ञात कीजिए।
हल:

प्रश्न 10.
\(\left(3 x^{2}-2 a x+3 a^{2}\right)^{3}\) का द्विपद प्रमेय से प्रसार ज्ञात कीजिए।
हल:

MP Board Class 11th Maths Solutions

MP Board Class 11th Maths Solutions Chapter 7 क्रमचय और संचयं Ex 7.4

प्रश्न 1.
यदि \(^{n} C_{8}=^{n} C_{2}\), तो ⁿC₂ ज्ञात कीजिए।
हल:

प्रश्न 2.
n का मान निकालिए, यदि
(i) \(^{2 n} C_{3}:^{n} C_{2}\) = 12 : 1
(ii) \(^{2 n} C_{3}:^{n} C_{2}\) = 11 : 1
हल :

प्रश्न 3.
किसी वृत्त पर स्थित 21 बिन्दुओं से होकर जाने वाली कितनी जीवाएँ खींची जा सकती हैं?
हल:
21 बिन्दुओं में कोई 2 बिन्दु मिलाने से एक जीवा प्राप्त होती है।
जीवाओं की संख्या = \(^{21} C_{2}=\frac{21 \times 20}{1 \times 2}=210\).

प्रश्न 4.
5 लड़के और 4 लड़कियों में से 3 लड़के और 3 लड़कियों की टीमें बनाने के कितने तरीके हैं?
हल:
5 लड़कों में से 3 लड़कों के चुनने के तरीके = \(^{5} C_{3}\)
4 लड़कियों में से 3 लड़कियाँ चुनने के तरीके = \(^{4} C_{3}\)
∴ 5 लड़कों और 4 लड़कियों में से 3 लड़के और 3 लड़कियों की टीमों की संख्या

प्रश्न 5.
6 लाल रंग की, 5 सफेद रंग की और 5 नीले रंग की गेंदों में से 9 गेंदों के चुनने के तरीकों की संख्या कीजिए, यदि प्रत्येक संग्रह में प्रत्येक रंग की 3 गेंदें हैं।
हल:
6 लाल रंग की गेंदों में से 3 गेंदें चुनने के तरीके = \(^6 C_{3}\)
5 सफेद रंग की गेंदों में से 3 गेंदें चुनने के तरीके = \(^5 C_{3}\)
5 नीले रंग की गेंदों में से 3 गेंदें चुनने के तरीके = \(^5 C_{3}\)
इस प्रकार 6 लाल, 5 सफेद तथा 5 नीले रंग की गेंदों में से प्रत्येक रंग की 3 गेंदों के चुनने के तरीके.

= \(\frac{6.5 .4}{1.2 .3} \times \frac{5.4}{1.2} \times \frac{5.4}{1.2}\)
= 20 x 10 x 10
= 2000.

प्रश्न 6.
52 पत्तों की एक गड्डी में से 5 पत्तों को लेकर बनने वाले संचयों की संख्या निर्धारित कीजिए, यदि प्रत्येक संचय में तथ्यतः एक इक्का हो।
हल:
ताश का गड्डी में 4 इक्के होते हैं।
∴ 4 में से 1 इक्का चुनने के तरीके = \(^{4} C_{1}\)
इक्का छोड़कर शेष पत्ते = 52 – 4 = 48
48 पत्तों में से कोई 4 अन्य पत्ते चुनने के तरीके = \(^{48} C_{4}\)
∴ ताश की गड्डी में 1 इक्का और 4 अन्य पत्ते चुनने के तरीके

प्रश्न 7.
17 खिलाड़ियों में से, जिनमें केवल 5 गेंदबाजी कर सकते हैं, एक क्रिकेट टीम के 11 खिलाड़ियों का चयन कितने प्रकार से किया जा सकता है, यदि प्रत्येक टीम में तथ्यतः 4 गेंदबाज हैं?
हल:
5 गेंदबाज में 4 गेंदबाज चुनने के तरीके = \(^{5} C_{4}\)
शेष खिलाड़ी = 17 – 5 = 12
शेष चुने जाने वाले खिलाड़ी = 11 – 4 = 7
∴ 12 खिलाड़ियों में से 7 खिलाड़ी चुनने के तरीके = \(^{12} C_{7}\)

प्रश्न 8.
एक थैली में 5 काली तथा 6 लाल गेंदें हैं। 2 काली तथा 3 लाल गेंदों के चयन के तरीकों की संख्या निर्धारित कीजिए।
हल:
5 काली गेंदों में से 2 गेंदें चुनने के तरीके = \(^{5} C_{2}\)
6 लाल गेंदों में से 3 गेंदें चुनने के तरीके = \(^6 C_{3}\)
5 काली व 6 लाल गेंदों में से 2 काली और 3 लाल गेंदें चुनने के कुल तरीके

प्रश्न 9.
9 उपलब्ध पाठ्यक्रमों में से, एक विद्यार्थी 5 पाठ्यक्रमों का चयन कितने प्रकार से कर सकता है, यदि प्रत्येक विद्यार्थी के लिए 2 विशिष्ट पाठ्यक्रम अनिवार्य हैं?
हल:
दो पाठ्यक्रम अनिवार्य हों, तब शेष पाठ्यक्रम = 9 – 2 = 7 .
7 पाठ्यक्रमों में से 3 पाठ्यक्रम चुनने के तरीके = \(^{7} \mathrm{C}_{3}\)
अत: 9 में से 5 पाठ्यक्रम चुनने के तरीके = \(^{7} C_{3}=\frac{7 \times 6 \times 5}{1 \times 2 \times 3}\) = 35

MP Board Class 11th Maths Solutions

MP Board Class 11th Maths Solutions Chapter 8 द्विपद प्रमेय Ex 8.2

प्रश्न 1 और 2 में गुणांक ज्ञात कीजिए :
प्रश्न 1.
(x + 3)⁸ में x⁵ का।
हल:

प्रश्न 2.
(a – 2b)¹² में a⁵ b⁷ का।
हल:
(a – 2b)¹² का व्यापक पद = \(^{12} C_{r} a^{12-r}(-2 b)^{r}\)
= \(^{12} C_{r} a^{12-r}(-1)^{r} \cdot 2^{r} b^{r}\)
∵ b^r= b⁷ (दिया है)
∴ r = 7
अब r = 7 रखने पर,

प्रश्न 3 व 4 के प्रसार में व्यापक पद लिखिए।
प्रश्न 3.
(x² – y)⁶.
हल:
(x² – y)⁶ का व्यापक पद

प्रश्न 4.
(x² + yx)¹², x ≠ 0.
हल:
(x² – yx)¹² का व्यापक पद

प्रश्न 5.
(x – 2y)¹² के प्रसार में चौथा पद ज्ञात कीजिए।
हल:
(x – 2y)¹² का चौथा पद

प्रश्न 6.
\(\left(9 x-\frac{1}{3 \sqrt{x}}\right)^{18}\) के प्रसार में 13वाँ पद ज्ञात कीजिए।
हल:
\(\left(9 x-\frac{1}{3 \sqrt{x}}\right)^{18}\) के प्रसार में 13वाँ पद

प्रश्न 7 व 8 के प्रसारों में मध्य पद ज्ञात कीजिए।
प्रश्न 7.
\(\left(3-\frac{x^{3}}{6}\right)^{7}\)
हल:
\(\left(3-\frac{x^{3}}{6}\right)^{7}\) में 7 + 1 = 8 पद हैं

प्रश्न 8.
\(\left(\frac{x}{3}+9 y\right)^{10}\)
हल:
इसमें 10 + 1 = 11 पद हैं जो विषम संख्या है।
मध्य पद = \(\frac{11+1}{2}\) = 6 वाँ पद

प्रश्न 9.
(1 + a)^m+n के प्रसार में सिद्ध कीजिए कि a^m तथा aⁿ के गुणांक बराबर हैं।
हल:

प्रश्न 10.
(x + 1)ⁿ के प्रसार में (r – 1) वाँ, 7 वाँ और (r + 1) वें पदों के गुणांक में 1 : 3 : 5 का अनुपात हो तो n तथा r का मान ज्ञात करो।
हल:
(x + 1)ⁿ का व्यापक पद \(\mathrm{T}_{r+1}=^{n} C_{r} x^{n-r}\)
∴ (r + 1) वें पद का गुणांक = \(^{n} C_{r}\)
∴ (r – 1) वें पद का गुणांक = \(^{n} C_{r-2}\)
r वें पद का गुणांक = \(^{n} C_{r-1}\)

प्रश्न 11.
सिद्ध कीजिए कि (1+x)²ⁿ के प्रसार में xⁿ का गुणांक, (1 + x)^2n-1 के प्रसार में xⁿ के गुणांक का दुगुना होता है।
हल:

प्रश्न 12.
m का धनात्मक मान ज्ञात कीजिए जिसके लिए (1+x)^m के प्रसार में 2 का गुणांक 6 हो।
हल:

MP Board Class 11th Maths Solutions

MP Board Class 10th Special English Grammar Type III

1. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentence in your answer sheet against the correct blank number. The first one has been done as an example (1/2 x 6 = 3 marks)

Example:
Gopal Bhar asked / so upset / he was / the minister / why
Gopal Bhar asked the minister why he was so upset.

(a) The minister told / that the Nawab / had set / Gopal/ task / him an impossible
(b) Then Gopal / to ask the Nawab / to give him / this difficult task / and one year / a million rupees / to complete / told the minister
(c) Gopal promised / after one year / that he would / with the results / the minister / go to the Nawab.
(d) themes / timeless / such / this / because / are / is /
(e) stories / a / all / have been / animal / favourite / groups / with / age /
(f) young / very / humanised / the / stories / animal / like /
Answer:
(a) The minister told Gopal that the Nawab had set him an, impossible task.
(b) Then Gopal told the minister to ask the Nawab to give him a million rupees and one year to complete this difficult task.
(c) Gopal promised the minister that he would go to the Nawab after one year with the results.
(d) This is because such themes are timeless.
(e) Animal stories have been a favorite with all age groups.
(f) The young like very humanised animal stories.

2. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct answers in your answer sheet against the correct blank numbers. One has been done as an example. (1/2 x 6 = 3 Marks)

Example:
thought / very good advice / the holy man / Rama’s mother / her / had given
Rama’s mother thought the holy man had given her very good advice.

(a) his last chance / him / it was / after telling / to the temple / Rama’s mother sent / him off
(b) Kali / in her most / before him / took pity/ on him and / awe-inspiring form / appeared
(c) burst / at the frightening form / into laughter/ took one look / and / Rama
(d) can kill / electric shock / as
(e) in / every year / people / this way / die
(f) can kill / even / of current / a small / amount
Answer:
(a) Rama’s mother sent him off to the temple after telling him it urns his last chance.
(b) Kali took pity on him and appeared before him in her most awe¬inspiring form.
(c) Rama took one look at the frightening form and burst into laughter.
(d) As electric shock can kill.
(e) Every year people die in this way.
(f) Even a small amount of current can kill.

3. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentences in your answer sheet against the correct blank numbers. The first one has been done as an example. (1/2 x 6 = 3 Marks)

Example:
Rama’s/ advice / decided / mother / the Guru’s / to follow / and sent him / to pray / to the temple
Rama’s mother decided to follow the Guru’s advice and sent him to the temple to pray.

(a) to obey / Rama decided / his mother / this time / very hard / for a long time / and prayed
(b) about a week / Kali appeared / after/ before him and / many heads / she looked awe-inspiring/ with her / and hands
(c) of feeling frightened / saw her / instead / he burst / when Rama / into laughter
(d) became / Anna Sewell / and / an / lived / invalid / life / the / same as a child /
(e) “Black Beauty” / of / the / end / written / was / towards / life / her /
(f) near / the / had reached / South America’s shore / Papyrus boat.
Answer:
(a) Rama decided to obey his mother this time and prayed very hard for a long time.
(b) After about a week Kali appeared before him and she looked awe¬inspiring with her many heads and hands.
(c) When Rama saw her instead of feeling frightened he burst into laughter.
(d) Anna Sewell became an invalid and lived the life same as a child.
(e) “Black Beauty“ was written towards the end of her life.
(f) The Papyrus boat had reached near South America’s shore.

4. Look at the words and phrases below. Rearrange them to form meaningful sentences to complete the description given. The first one has been done as an example for you. Write the correct sentences in your answer sheet against the correct blank numbers. (3 marks)

Example:
Thomas Nuttall / a / successfully / botanist / studied / pioneer / of / N.W. America / the flora.
Thomas Nuttal a pioneer botanist studied the flora of N.W. America successfully.
(a) in the world / he / least / the / successful / perhaps / however / explorer / was
(b) on his/almost/he spent/all/expeditions/his time/lost/ permanently
(c) one night/to return/was/a search party/when/sent out/ failed/he
(d) as / approached / the party / him / they / were / Indians / Nuttal / assumed
(e) tried/annoyed his/to escape/bush and river / he / over / rescuers / and
(f) he / wandered / the camp / into / accidentally / three days / finally / after
Answer:
(a) However, he was perhaps the least successful explorer in the world.
(b) He spent almost all his time on his lost expeditions permanently.
(c) One night when he failed to return a search party was sent out.
(d) As the party approached him Nuttal assumed they were Indians.
(e) He tried to escape over bush and river and annoyed his rescuers.
(f) Finally after three days he wandered into the camp accidentally.

5. Look at the words and phrases below. Rearrange them to form meaningful sentences. Write the correct sentences in your answer sheet against the correct blank number. The first one has been done as an example. (2 marks)

Example:
spent / trying / years / to perfect / Elias Howe / a sewing machine
Elias Howe spent years trying to perfect a sewing machine.

(a) he / that / had been /-by / captured / one night / a tribe / dreamed / he
(b) told / would have /he/he/to produce / was / in a day/ the sewing machine
(c) speared / could not / if / he / would be / he / by/ the tribe
(d) failed / when / the tribesmen / he / surrounded / with raised spears / him / that had / at the tips / holes
(e) suddenly / he / Howe / as / woke up / to / the / solution / saw / his / problem
(f) the hole / the tip / at / of / had / to work / the needle / to be / the machine / for
Answer:
(a) One night he dreamed that he had been captured by a tribe.
(b) He was told he would have to produce the sewing machine in a day.
(c) If he could not, he would be speared by the tribe.
(d) When he failed the tribesmen surrounded him with raised spears that had holes at the tips.
(e) As he woke up suddenly Howe saw the solution to his problem.
(f) The hole had to be at the tip of the needle for the machine to work.

6. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done for you as an example. Write the correct answers in your answer sheet against the correct blank numbers. The first one has been done as an example. (1/2 x 6 = 3 marks)

Example:
are / eating / birds / small / wagtails / insect
Wagtails are small insect-eating birds.

(a) to / are closely / they / related / pipits.
(b) needle-like / bill / is / its / are / the / feet / with / developed / well / toes / long
(c) eight / of J wagtails / there / about / are / species
(d) shrunk / vast lands / father / explained / her / that / olive trees / family’s / one / the / had / to / to / square kilometre / of /
(e) his / slipped into / the driver / highway / the / blue truck / on / headed / and /
(f) his / swirling / moments / snow / was / within / around / vehicle /
Answer:
(a) They are closely related to pipits.
(b) Its feet are well developed with the bill long needle like toes.
(c) There are about eight species of wagtails.
(d) Father explained to her that family’s vast lands of the olive trees had shrunk to one square kilometre.
(e) The driver slipped into his. blue truck and headed on the highway,
(f) His vehicle was swirling around snow ivithin moments.

7. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentences in your answer sheet against the correct blank number. The first one has been done as an example. (1/2 x 6 = 3 Marks)

Example:
retailer / ice-cream / to tell / the swad / has a story
The swad ice-cream retailer has a story to tell.

(a) is a / ice-cream / that / tough business / selling / he feels
(b) now-a-days / in the market / there are just / selling / too many brands / ice-creams / of
(c) there were / varieties / just two or three / different / a decade ago / to choose from
(d) try / some people / a new brand / who / come back / again and again / for it
(e) it’s the King cones / hotcakes / sell like / that
(f) some brands / customers / favoured by / there are / which are not / however
Answer:
(a) He feels that selling ice-cream is a tough business.
(b) Now-a-days there are just too many brands of ice-creams selling in the market.
(c) A decade ago there were just two or three different varieties to choose from.
(d) Some people who try a new brand come back again and again for it.
(e) It’s the King cones that sell like hotcakes.
(f) However, there are some brands which are not favored by customers.

8. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the sentence in your answer sheet against the correct blank number. The first one has been done as an example. (1/2 x 6 = 3 marks)

Example:
the / plight / Tanzanians / would / like / know / the / you / about / to / of
Would you like to know about the plight of the Tanzanians?

(a) Africa / in / Tanzanians / literacy rate / the / have / highest
(b) read / hardly / have / to / they / anything / but
(c) the / and / are / costs / soaring / paper / the / the / interest rates / reasons / of
(d) have / they / standstill / the / to / a / brought / publishing industry
(e) a sour liquid / 4 to 12 per cent / vinegar / acetic acid / other substances / which / and contains / is
(f) formed/ it / fermentation / is / process / by/the /of
Answer:
(a) Africa Tanzanians have the highest literacy rate.
(b) But they hardly have anything to read.
(c) Tfae reasons are the soaring costs of the paper and the interest rates.
(d) They have brought the publishing industry to a standstill.
(e) Vinegar is a sour liquid that contains 4 to 12 percent acetic acid and other substances.
(f) It is formed by the process of fermentation.

MP Board Class 10th English Solutions

MP Board Class 10th Special English Grammar Type II

1. In the passage given below one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. Ensure that the word that forms your answer is underlined. (4 marks)

There was hardly political, social e.g., hardly any political
religious, agrarian, labour any other, (a)
problem which come under (b)
his purview and he did not deal (c)
on his own within the framework (d)
of the principles which he held be (e)
basic and fundamental. There hardly (f)
any aspect of life in India which he (g)
influence and fashion according his own pattern. (h)
Answer:
(a) labour or any
(b) which didn’t come
(c) and that he
(d) own or within
(e) held to be
(f) There was hardly
(g) he didn’t influence
(h) according to his

2. In the following paragraph, one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. Ensure that the word that forms your answer is underlined.

The holy man spoke Rama for e.g., spoke to Rama
a while. He then Rama’s mother (a)
that should send him to pray at the (b)
Kali Temple the village. He said (c)
that if prayed sincerely, Kali (d)
would appear him and bless him. (e)
This he would make Rama’s fortune. (f)
Answer:
(a) then told Rama’s
(b) that she should
(c) Temple in the village
(d) if he prayed
(e) appear before him
(f) This way he

3. In the following paragraph, one word has been omitted from each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. Ensure that the word that forms your answer is underlined.

In modern cities towns we sometimes e.g, cities or towns
see moving metal stars operating big (a)
high raised buildings shops. They (b)
carry people and down to different (c)
storeys. We call escalators. People (d)
use them avoid physical strains (e)
in climbing or descending stairs such buildings. (f)
Answer:
(a) operating at big
(b) buildings or shops
(c) people up and
(d) call them escalators
(e) them to avoid
(f) stairs in such

4. In the passage given below one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. Ensure that the word that forms your answer is underlined. (3 Marks)

Sometimes animals caught in e.g., animals are caught
such a situation they can neither (a)
run away their enemies nor (b)
fight them. In such situations (c)
they very tense. Different (d)
animals differently to get rid (e)
of tense moments. (f)
Answer:
(a) situation that they
(b) away from their
(c) fight against them
(d) they become very
(e) animals react differently
(f) of the tense

5. In the passage given below, one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. Ensure that the word that forms your answer is underlined. (1/2 x 6 = 3 Marks)
There was a rich old man who in a palace, e.g., who lived in
There also lived nearby poor man in a hut. (a)
He on crumbs of food given by others, (b)
but he cheerful and never complained. (c)
Once it happened that the poor man (d)
had to eat for a long while. So he (e)
went to the rich old man help. (f)
Answer:
(a) nearby a poor
(b) He survived on
(c) he remained cheerful
(d) it so happened
(e) had nothing to
(f) man for help

6. In the passage given below, one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. Ensure that the word that forms your answer is underlined. (5 marks)

The weather, in first half e.g., in the first
of the English summer always known (a)
to be quite cold. But, ‘what we are at the (b)
moment here, is, I think rather exceptional (c)
summer—it is just too cold anyone’s liking, (d)
For a cricketer, you have icy, chilly (e)
winds blowing your face, it certainly (f)
is far from a pleasant experience you are (g)
batting, bowling fielding. And, with (h)
the weather being what is right now, the (i)
visiting Indian team is finding it rather tough to cope the conditions. (j)
Answer:
(a) summer is always
(b) are discussing at
(c) rather an exceptional
(d) cold for anyone’s
(e) cricketer, if you
(f) blowing to your
(g) experience when you
(h) bowling or fielding
(i) what it is
(j) cope with the conditions

7. In the passage given below, one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. Ensure that the word that forms your answer is underlined. (5 marks)

Within each the dialect areas there is e.g., each of the
considerable variation in speech according (a)
education and social standing. There is important (b)
polarity of uneducated educated speech in (c)
which former can be identified with the (d)
regional dialect most completely latter (e)
moves away from dialect usage a form of (f)
English cuts across dialectical boundaries, so (g)
do features of uneducated use; a prominent (h)
example the double negative (i)
as in I don’t any cake. (j)
Answer:
(a) according to education
(b) is an important
(c) uneducated and educated
(d) which the former
(e) completely as latter
(f) usage to a form
(g) English that cuts
(h) do the features
(i) example is the
(j) don’t want any

MP Board Class 10th English Solutions

MP Board Class 10th Special English Grammar Type I

For a variety of short questions involving the use of particular structures within a context (/.e., not in isolated sentences) test type used will include, for example, gap-filling, cloze (gap filling exercise with blanks at regular intervals), sentence completion, sentence-reordering, editing, dialogue completion and sentence transformation.

Not all elements in the grammar syllabus can be included in the question paper every year.

However, questions will be distributed over the following three broad areas: verb forms, sentence structure and others.

1. The following paragraph has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)
The Band-Aid was invent in New Jersey. e.g., invent…invented
Dickson was fretted as his wife Josephine, (a)
who cut herself again and again on working (b)
in the kitchen. One day while he was wrapping his (c)
wound once again on a bulky bandage (d)
of gauze and tape, he was struck by a idea. He put (e)
some guaze on a strip of the medical tape and a (f)
Band-Aid was born. Billion of cuts (g)
and scrapes later the Band-Aid is celebrating their 75th birthday. (h)
Answer:
(a) fretted ………………………… fretting
(b) on ………………………… while
(c) his ………………………… her
(d) on ………………………… with
(e) a ………………………… an
(J) a ………………………… the
(g) Billion ………………………… Billions
(h) their ………………………… its

2. The following passage has not been edited. There is one error in each of the litres. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)
Longer before Newton, Aristotle and Galileo e.g., Longer… Long
have done a lot of research on the subject (a)
of gravity. Aristotle stating that a (b)
heavier object need fall to the Earth (c)
fastest than a lighter one. Legend has (d)
it that Galileo disproved those theory by (e)
throwing down objects with different (f)
weights from a leaning tower of Pisa and (g)
proved that it took practically the same time to hit the ground. (h)
Answer:
(a) have ………………………………. had
(b) stating ………………………………. stated
(c) need ………………………………. needn’t
(d) fastest ………………………………. faster
(e) those ………………………………. this
(t) with ………………………………. of
(g) a ………………………………. the
(h) it ………………………………. they

3. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. (1/2 x 8 = 4 marks)
Tests and examination are not confined to school alone. e.g., examination………….. examinations
They are widely use at various (a)
Government and non-Government level. (b)
Business and industry too is using (c)
tests. Tests are used of the selection of (d)
candidates and in some case they are one of the criteria of selection. (e)
The success of a doctor is tested at his (f)
skill in diagnosis and cure. If he pass (g)
this test his patient are extremely happy (h)
about it.
Answer:
(a) use …………………………. using
(b) who …………………………. which
(c) the …………………………. they
(d) it …………………………. them
(e) become …………………………. becomes
(f) instant …………………………. instance
(g) little …………………………. less
(h) could …………………………. can

4. The following passage has not been edited. There is one error in each of the lin’fes. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)
More of the fun and excitement in your e.g., More……………….. Much
life comes from use your senses. Senses open (a)
up a world who is full of sights, sounds, (b)
smells, tastes and things to touch. The (c)
sharp your senses and the more you use it, more enjoyable each (d)
of them become for you. (e)
For instant, a painter can see shades (f)
and shapes which little gifted (g)
people could not see. (h)
Ans.
(a) or …………………………. to
(b) either …………………………. neither
(c) for …………………………. to
(d) about …………………………. in
(e) its …………………………. their
(f) They …………………………. These
(g) constitute …………………………. constituents
(h) philosophies …………………………. philosophy

5. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)
More of the fun and excitement in your e.g., More…………….. Much
life comes from use your senses. Senses open (a)
up a world who is full of sights, sounds, (b)
smells, tastes and things to touch. The (c)
sharp your senses and the more you use it, more enjoyable each (d)
of them become for you. (e)
For instant, a painter can see shades (f)
and shapes which little gifted (g)
people could not see. (h)
Answer:
(a) use …………………………………… using
(b) who …………………………………… which
(c) the …………………………………… they
(d) it …………………………………… them
(e) become …………………………………… becomes
(f) instant …………………………………… instance
(g) little …………………………………… less
(h) could …………………………………… can

6. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (Vz x 8 = 4 marks)
Haemophilia are one of the several e.g., is………………. are
sex linked genetic disorders which effects (a)
only males. This is because the disorders is (b)
caused with a defective gene of the (c)
X-chromosome. As a result, blood does not clot (d)
and there is a risk for heavy bleeding (e)
even from minor cuts and injuries. The disease is (f)
not affect females, because, from the two (g)
X-chromosomes if one has the defective gene, (h)
then the other do produce enough clotting factor.
Answer:
(a) effects …………………………………… affects
(b) disorders …………………………………… disorder
(c) with …………………………………… bit
(d) the …………………………………… a
(e) for …………………………………… of
(f) is …………………………………… does
(g) from …………………………………… between
(h) do …………………………………… can

7. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline supplied. (1/2 x 8 = 4 marks)
Even if Indians havc a long history e.g., if ………….. though
on them, they have a poor (a)
knowledge in maintaining homes, (b)
toilets, draperies or fridges. (c)
Modern detergents and soaps is (d)
very common in shelves1 but (e)
people does not use them regularly. (f)
This cause the increase (g)
in a life of bacteria. (h)
Answer:
(a) on …………………………… hind
(b) in …………………………… about/of
(c) or …………………………… and
(d) is …………………………… are
(e) in …………………………… on
(f) does …………………………… do
(g) cause …………………………… causes
(h) a …………………………… the

8. The following passage has not been edited. There is one error in each line. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. (1/2 x 8 = 4 marks)
All life on earth can ultimately is e.g., is … be
traced back on the sea. Creatures (a)
with limbs or fingers rather than (b)
fins has evolved from fishes (c)
about 335 million years before, (d)
which remain a mystery. The new (e)
fossil find in a rock formation (f)
near Scotland provides one of the few clue (g)
to what has been happening on these 30 million years. (h)
Answer:
(a) on …………………………….. to
(b) or …………………………….. and
(c) has …………………………….. have
(d) before …………………………….. ago
(e) remain …………………………….. remains
(f) find …………………………….. found
(g) clue …………………………….. clues
(h) on …………………………….. over

9. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)
Life was not as it seems to be. e.g., was………….. is
It is full of up and downs, the grass (a)
always look greener on the other side. (b)
We have a habit to grumbling. (c)
We are ever satisfied. (d)
We make our lives misery (e)
by expect too much from everyone. (f)
This is what we face disappointment. (g)
So never expect nothing and be happy. (h)
Answer:
(a) up ………………………………. ups
(b) look ………………………………. looks
(c) to ………………………………. of
(d) ever ………………………………. never
(e) misery ………………………………. miserable
(f) expect ………………………………. expecting
(g) what ………………………………. why
(h) nothing ………………………………. anything

10. The following passage has not been edited. There is one error in each line. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (3/2 x 8 = 4 marks)
Thanks to the current interest for fitness e.g., for ……… in
and health that peoples are taking. (a)
In each locality we find this days (b)
some centres and clubs is springing (c)
up and they are do well in their (d)
new venture. But fortunately they (e)
are not within easy reach for all. (f)
Their fee are high, and the centres (g)
suffer from lack in equipment and many other essential services. (h)
Answer:
(a) peoples …………………………… people
(b) this …………………………… these
(c) is …………………………… are
(d) do …………………………… doing
(e) fortunately …………………………… unfortunately
(f) all …………………………… many
(g) fee …………………………… fees
(h) in …………………………… of

11. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied.
There is about zoo lizard species e.g., there …………. this
in the world included chameleon, (a)
guana and skinks. Skinks were (b)
one of the two larger families of (c)
lizards. They are find in all the (d)
tropical country but they are (e)
most abundant at Africa, east India (f)
and Australia. They belongs to the (g)
Cincidal family. There are about 700 species to skinks. (h)
Answer:
(a) included ………………………………… including
(b) were ………………………………… are
(c) larger ………………………………… largest
(d) find ………………………………… found
(e) country ………………………………… countries
(f) at ………………………………… in
(g) belongs ………………………………… belong
(h) to ………………………………… of

12. The following paragraph has not been edited. There is one mistake in each line. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)
Rama lived in a village of Tenali. He loved e.g., a ……………….. the
to play pranks and was always jokes. He (a)
refused to study but take anything seriously. (b)
His mother didn’t knew what to do (c)
with him. She feel he never would be (d)
enable to make something of himself. (e)
One day she take him to see a guru. She (f)
told the guru that he had had enough (g)
of her son. She asked him to get the sense into Rama. (h)
Answer:
(a) jokes ……………………. joking
(b) but ……………………. or
(c) kneiv ……………………. know
(d) feel ……………………. felt
(e) enable ……………………. able
(f) take ……………………. took
(g) he ……………………. she
(h) the ……………………. some

13. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 8 = 4 marks)
Albatross is a largest flying e.g., a the
sea-bird. It can has a wingspan (a)
of 3.15 m at full stretch. It belongs in (b)
Diomedeide family but is found (c)
mainly in south to the equator. (d)
It had a long, heavy beak and (e)
long narrow wings who allow it (f)
to soar are the wind seemingly (g)
without effort for hours. It body (h)
is about 1.2 metres long.
Answer:
(a) has ……………………. have
(b) in ……………………. to
(c) but ……………………. and
(d) to ……………………. of
(e) had ……………………. has
(f) who ……………………. which
(e) are ……………………. over
(h) It ……………………. Its

14. The following paragraph has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (V2 x 8 – 4 marks)
One day, the Nawab sent to his e.g., to …………. for
minister and asking him to (a)
measure the length but (b)
breadth of an entire earth (c)
from end to end and side from (d)
side. He also wished that a (e)
minister should count all the if)
star in the sky. The minister (g)
feels the Nawab was being too unfair to him. (h)
Answer:
(a) asking ……………………………………… asked
(b) but ……………………………………… and
(c) an ……………………………………… the
(d) from ……………………………………… to
(e) a ……………………………………… the
(f) should ……………………………………… could,
(g) star ……………………………………… stars
(h) feels ……………………………………… felt

15. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. (1/2 x 8 = 4 marks)
One morning, the Nawab call e.g., call ………………… called
his minister and said him (a)
that I wanted the length and (b)
breadth from the whole earth (c)
measured. He also feeling the (d)
need to have the stars in a (e)
sky counted. The minister savs (f)
that the task he have (g)
set being impossible. (h)
Answer:
(a) said ………………………………. told
(b) I ………………………………. he
(c) from ………………………………. of
(d) to feeling ………………………………. felt
(e) a ………………………………. the
(f) says ………………………………. said
(g) have ………………………………. had
(h) being ………………………………. was

16. The following paragraph has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word you have supplied. (1/2 x 4 = 8 marks)

When our earth was cover with water, all e.g., cover ………… covered
creatures had to swim on it. When the (a)
water subside and land appeared the (b)
sea creatures crawled out or learnt (c)
breathing and walking to land. When (d)
there are not enough plants left to (e)
eat, they learnt to hunting and (f)
kill of the food. Things (g)
are still changes. (h)
Answer:
(a) on ………………………………. in
(b) subside ………………………………. subsided
(c) or ………………………………. and
(d) to ………………………………. on
(e) are ………………………………. were
(f) hunting ………………………………. hunt
(g) of ………………………………. for
(h) changes ………………………………. changing

17. The following passage has not been edited. There is one error in each of the lines. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. (1/2 x 8 – 4 marks)
Adaptation was a biological term e.g., was …………. his
what means the process by which (a)
all living things changes or adapt (b)
in new and unfavourable conditions (c)
for its survival, thus human (d)
beings, plants and all other live (e)
things adept to their environment (f)
for survival. Giraffes showed group (g)
adaptation. Long ago giraffes had short necks similar to that of horses. (h)
Answer:
(a) What ………………………………. which
(b) changes ………………………………. change
(c) in ………………………………. to
(d) its ………………………………. their
(e) live ………………………………. living
(f) adept ………………………………. adapt
(g) showed ………………………………. show
(h) that ………………………………. those

MP Board Class 10th English Solutions