Students can refer to the following MCQ Questions for Class 10 Arithmetic Progression with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here a collection of multiple choice questions for Arithmetic Progression Class 10 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

## Class 10 Arithmetic Progression MCQs Questions with Answers

We have provided below MCQs questions for Class 10 Mathematics Arithmetic Progression with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Arithmetic Progression MCQs in Class 10 pdf download can be really scoring for students, you should go through all problems provided below so that you are able to get more marks in your exams.

**Question. Find three numbers in arithmetic progression whose sum is 3 and product is- 35.**

(a) 1,5,7

(b) -5,7,-1

(c) -5,1,7

(d) -7,5,-1

## **Answer**

C

**Question.** Find the general term of the series 4, 7, 10, 13……

(a) 3n – 7

(b) 3n + 7

(c) 3n +1

(d) 3n – 1

## **Answer**

C

**Question.** What is the sum of 36 terms of the series whose n^{th} term is 5n + 4?

(a) 4347

(b) 3474

(c) 4374

(d) 3447

## **Answer**

B

**Question.** The first, second and last terms of an arithmetic progression are 5, 9 and 101 respectively. Find the number of terms in the arithmetic progression.

(a) 30

(b) 50

(c) 25

(d) 75

## **Answer**

C

**Question.** Given that the sum of the first ‘n’ terms of an arithmetic progression is 2n^{2 }+ 3n, find the twelfth term.

(a) 72

(b) 36

(c) √625

(d) 56

## **Answer**

A

**Question.** Find the sum of the arithmetic progression,**x – 2y, 2x – y,3x……11x + 8y .**

(a) 33(2x + y)

(b) 22(2x + y)

(c) 28(x + y)

(d) 33x + 11y

## **Answer**

A

**Question.** The first two terms of an arithmetic progression are 27 and 24 respectively. How many terms of the progression are to be added to get – 30?

(a) 15

(b) 20

(c) 25

(d) 18

## **Answer**

B

**Question.** A circle is divided into 18 sectors such that the angles subtended at the centre form an arithmetic progression. Given that the angle of the smallest sector is 11.5^{0}, find the angle of the biggest sector.

(a) 30^{0}

(b) 15.5^{0}

(c) 45^{0}

(d) 28.5^{0}

## **Answer**

D

**Question.** Find the sum of the first 18 terms, of the arithmetic progression 12b, 8b, 4b,……

(a) 126b

(b) -56b

(c) 256b

(d) – 288b

## **Answer**

D

**Question.** An arithmetic progression has 10 terms. The sum of the odd terms is 245 whereas the sum of the even terms is 305. Find the common difference.

(a) 2

(b) 7

(c) 3

(d) 1

## **Answer**

D

**Question.** A cineplex has 13 rows of seats with 10 seats in the first row, 12 in the second, 14 in the third and so on. What is the total number of seats in the cineplex?

(a) 252

(b) 256

(c) 258

(d) 286

## **Answer**

D

**Question.****The first three terms of a sequence are 8, ‘y’ and 18. Find the positive value of ‘y’ so that the sequence is an arithmetic progression.**

(a) 26

(b) 18

(c) 12

(d) 13

## **Answer**

D

**Question.** The sum of the first 10 terms of an arithmetic progression is four times the sum of its first five terms. Find the ratio of the first term to the common difference.

(a) 1:4

(b) 4:1

(c) 2:1

(d) 1:2

## **Answer**

D

**Question.**Sulekha intends to read a 200 page book within a specific period-She starts by reading 11 pages on the first day and increases her rate of reading by reading an extra 2 pages for each subsequent day How long will she take to finish reading the book?

(a) 20

(b) 10

(c) 15

(d) 25

## **Answer**

B

**Question.** How many numbers between 100 and 1000 are divisible by 7?

(a) 7

(b) 128

(c) 132

(d) 127

## **Answer**

B

**Question.** Find the sum from the sixth term to the twelfth term of the arithmetic progression 6,**10, 14, ….**

(a) 176

(b) 232

(c) 266

(d) 184

## **Answer**

C

**Question.** Given an arithmetic progression -10,-5, 0,….. Identify three consecutive terms of the progression whose sum is 90.

(a) 26, 31, 36

(b) 25, 30, 35

(c) 20, 30, 40

(d) 18, 23, 28

## **Answer**

B

**Question.****The first term and the common difference of an arithmetic progression are 13 and 5 respectively. Find the sum from the 6th term to the 20 ^{th} term.**

(a) 876

(b) 146

(c) 1095

(d) 1080

## **Answer**

C

**Question.****The 6th term of an arithmetic progression is 30 and the sum of the first six terms is 210. Find the sum of the next 6 consecutive terms.**

(a) 100

(b) 50

(c) 138

(d) 204

## **Answer**

C

**Question. If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?**

(A) 30

(B) 33

(C) 37

(D) 38

## **Answer**

(B)**Explanation: Since**

a_{2} = 13

a_{5} = 25

⇒ a + d = 13 …………… (i)

⇒ a + 4d = 25 …………..(ii)

Solving…(i) and…(ii) we get

a = 9; d = 4

Therefore

a_{1} = 9 + 6 x 4

= 9 + 24

= 33

**Question.** The 21st term of the AP whose first two terms are –3 and 4 is

(A) 17

(B) 137

(C) 143

(D) –143

## **Answer**

(B)**Explanation:**

First two terms are –3 and 4

Therefore

a = -3

a + d = 4

⇒ d = 4 – a

⇒ d = 4 + 3

⇒ d = 7

a_{21 }= a + (21 – 1) d

a_{21 }= 3 + 20 ^{.} 7

a_{21} = 137

**Question.** If the common difference of an AP is 5, then what is a_{18} – a_{13} ?

(A) 5

(B) 20

(C) 25

(D) 30

## **Answer**

(C)**Explanation:**

Since

Since d = 5

a_{11} – a_{13} = a + 17 d – a – 12d

= 5d

= 5 x 5

= 25

**Question.****The sum of first five multiples of 3 is**

(A) 45

(B) 55

(C) 65

(D) 75

## **Answer**

(A)**Explanation:**

The first five multiples of 3 are 3, 6, 9, 12 and 15

Here

a = 3

d = 6 – 3 = 3

n = 5

Therefore,

S_{5} = 5/2 [2 x 3 + ( 5 – 1) 3 ]

S_{5} = 5/2 [6 + 12]

S_{5} = 45

**Question.****The sum of first 16 terms of the AP: 10, 6, 2,… is**

(A) –320

(B) 320

(C) –352

(D) –400

## **Answer**

(A)

Given A.P. is 10, 6, 2,…

here

a = 10

d = 6 – 10 = – 4

n = 16

Therefore,

S_{16} = 16/2 [ 2 X 10 + (16 – 1)(-4)]

S_{16 }= 8 [20 – 60]

S_{16 }= – 320

**One Word Questions :**

**Question. What is the common difference of the A.P. formed by even numbers?**

**Answer**

2

**Question. Find the 10th term of the A.P. 117, 104, 91, 78, …….**

**Answer**

0

**Question. Find the sum of the A.P. 1 + 3 + 5 + 7 + ….. + 199.**

**Answer**

10,000

**Question. Find 8th term of an A.P. whose 3rd term is –5 and common difference is 4.**

**Answer**

15

**Question. How many multiples of 4 lies between 10 and 250?**

**Answer**

60

**Question. If common difference of an A.P. is 5, find the difference of 15th and 11th terms.**

**Answer**

20

**Question. Find the common difference of the A.P. –1, 2, 5, 8, 11, …….**

**Answer**

3

**Question. Which term of an A.P. 3, 7, 11, 15, …… will be 20 more than its 6th term?**

**Answer**

11th

**Question. If the sum of first ‘n’ term of an A.P. is 3n² + 2n, then find its nth terms.**

**Answer**

6n – 1

**Question. If a ^{2} = 5 and a^{3} = 9, then find t_{5}.**

**Answer**

17

**Question. Find the nth term of the A.P. 5, 2, –1, –4, –7, ……. .**

**Answer**

8 – 3n

**Question. What is the difference between 3rd and 8th terms of the A.P? 3, 7, 11, 15, …….**

**Answer**

20

**Question. Find the value of k if the kth term of the A.P. –1, –3, –5, –7….. is –151.**

**Answer**

76

**Question. The sum of n terms of a series is (n² + 2n) for all values of n. Find the 3rd term of the series.**

**Answer**

7

**Question. First term of an A.P. is –2 and 10th term is 28. What is the value of d (common difference)**

**Answer**

10/3

**Question. For the A.P. –9, –14, –19, –24 find t _{30} – t_{20}.**

**Answer**

– 50

**Question. Find the 16th term of an A.P. if a = 15, and d = –2**

**Answer**

– 15

**Question. Find the A.P. if the 15th term is 10 more than the 13th term and first term is 5.**

**Answer**

5, 10, 15, …..

**Question. A man saved Rs. 16,500 in 10 years. In each year after the first he saved Rs. 100 more than he did in the preceeding year. How much did he save in the first year?**

**Answer**

Rs. 1200

**Question. Determine the sum of first 10 terms if an A.P. if t _{2}= 2 and t_{7} = 22.**

**Answer**

160

**Question. Find the sum of first 100 multiples of 5.**

**Answer**

25250

**Question. How many d’s will be added to get 29th term of an A.P. to the first term?**

**Answer**

28

**Question. Find the sum of 2 + 4 + 6 + …… up to n terms.**

**Answer**

n(n + 1)

**Question. Find 4th term from the end of the A.P. –4, –1, 2, 5, 8, 11, 14, 17, 20, …….. 54.**

**Answer**

45

**Question. The sum of series in A.P. is 128. If the first term is 2 and the last term is 14 find the number of terms of the series.**

**Answer**

16

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