Arithmetic Progression Class 10 MCQ is one of the best strategies to prepare for the CBSE Class 10 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more MCQ on Arithmetic Progression class 10, which will help them all through their board test.

## Arithmetic Progression Class 10 MCQ Questions with Answer

Class 10 Math MCQ with answers are given here to chapter 5 Arithmetic Progression. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 10 Mathematics syllabus. By Solving these Class 10 MCQs, you will be able to analyze all of the concepts quickly in the chapter and get ready for the Class 10 Annual exam.

Learn Arithmetic Progression Class 10 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 10 Mathematics Quadratic Equation MCQ with answers given below.

**Question 1.** 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 2.** 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 3.** 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 4.** 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 5. 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 6.** 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 7.** 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 8.** 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 9.** 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 10.** 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 11.** 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 12. **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

Whoever needs to take the CBSE Class 10 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 10 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Arithmetic Progression class 10 MCQ are ready by the subject specialists themselves.

**Question 13.** 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 14.****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 15.** 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 16.****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 17.** How many numbers between 100 and 1000 are divisible by 7?

(a) 7

(b) 128

(c) 132

(d) 127

## **Answer**

B

**Question 18.** 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 19.** 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 20.** 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 21.****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 22.****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 23.****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

**Question 24. 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

You can easily get good marks If you study with the help of Class 10 Arithmetic Progression MCQ. We trust that information provided is useful for you. NCERT MCQ Questions for Class 10 Arithmetic Progression PDF Free Download would without a doubt create positive results.

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### Frequently Asked Question (FAQs)

## How many MCQ questions are there in Class 10 Chapter 5 Mathematics?

In Class 10 chapter 5 Mathematics, we have provided 24 Important MCQ Questions, But in the future, we will add more MCQs so that you can get good marks in the Class 10 exam.

## Can we score good marks in Class 10 Mathematics with the help of Arithmetic Progression MCQ Questions?

Yes, MCQ Question is one of the best strategies to make your preparation better for the CBSE Board Exam. It also helps to know the student’s basic understanding of each chapter. So, You can score good marks in the Class 12 Mathematics exam.