# MCQs for Mathematics Class 10 with Answers Chapter 5 Arithmetic Progression

Students of class 10 Mathematics should refer to MCQ Questions Class 10 Mathematics Arithmetic Progression with answers provided here which is an important chapter in Class 10 Mathematics NCERT textbook. These MCQ for Class 10 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 10 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming class 10 Mathematics examination

**Chapter 5 Arithmetic Progression MCQ with Answers Class 10 Mathematics**

MCQ Questions Class 10 Mathematics Arithmetic Progression provided below have been prepared by expert teachers of grade 10. These objective questions with solutions are expected to come in the upcoming Standard 10 examinations. Learn the below provided MCQ questions to get better marks in examinations.

**Question. The number of two digit numbers divisible by 5 is **

(a) 19

(b) 18

(c) 16

(d) 17

**Answer**

B

**Question. How many terms are there in 20, 25, 30………, 140 **

(a) 22

(b) 25

(c) 23

(d) 24

**Answer**

B

**Question. Find the sum of 12 terms of an A.P. whose nth term is given by a n = 3n + 4 **

(a) 262

(b) 272

(c) 282

(d) 292

**Answer**

A

**Question. The number of multiples lie between n and x 2 which are divisible by n is **

(a) n + 1

(b) n

(c) n – 1

(d) n – 2

**Answer**

D

**Question . If p, q, r, s, t are the terms of an A.P. with common difference -1 the relation between p and t is: **

(a) t = p – 5

(b) t = p – 4

(c) t = p – 6

(d) t = p + 4

**Answer**

B

**Question. If 7th and 13th terms of an A.P. be 34 and 64, respectively, then it’s 18th term is : **

(a) 87

(b) 88

(c) 89

(d) 90

**Answer**

C

**Question. The sum of all two digit odd numbers is **

(a) 2575

(b) 2475

(c) 2524

(d) 2425

**Answer**

B

**Question. If the sum of n terms of an AP is 3n 2 +5n then which of its terms is 164? **

(a) 27th

(b) 29th

(c) 28th

(c) 26th

**Answer**

A

**Question. An athlete wants to improve his stamina, so he decides to increase the distance he runs by half akilometer every day. If he starts with 5 km on first day, find how much he runs on the 10 th day **

(a) 6 Km

(b) 7.5 Km

(c) 9.5 Km

(d) 10 Km

**Answer**

C

**Question. The weights of 11 students selected for a team are noted in ascending order and are in A. P. Thelowest value is 45 Kg, and the middle value is 55 Kg. What is the difference between the twovalues placed consecutively ? B**

(a) 4

(b) 2

(c) 6

(d) 3

**Answer**

**Question. If p, q, r are in AP, then p 3 + r 3 – 8q 3 is equal to **

(a) 4pqr

(b) -6pqr

(c) 2pqr

(d) 8pqr

**Answer**

B

**Question. What is the sum of the first 50 multiples of 3? **

(a) 3255

(b) 3825

(c) 4325

(d) 4455

**Answer**

B

**Question. If p, q, r and s are in A.P. then r – q is **

(a) s – p

(b) s – q

(c) s – r

(d) none of these

**Answer**

C

**Question. If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first andthird of these terms is 273, then the third term is **

(a) 13

(b) 9

(c) 21

(d) 17

**Answer**

C

**Question. The number of terms common to the two A.P. s 2 + 5 + 8 + 11 + ….+ 98 and 3 + 8 + 13 + 18+….+198 **

(a) 33

(b) 40

(c) 7

(d) None of these

**Answer**

C

**Question. The common difference of the A.P for which 20th term is 10 more than the 18th term is : **

(a) 2

(b) 3

(c) 5

(d) 10

**Answer**

C

**Question. The fourth term of an A.P. is 4. Then the sum of the first 7 terms is : **

(a) 4

(b) 28

(c) 16

(d) 40

**Answer**

B

**Question. For an A.P the sum of first 30 terms is -1155,the common difference is -3and the thirtieth term is-82. What is the first term? **

(a) 10

(b) 8

(c) 5

(d) 12

**Answer**

C

**Question. The (n – 1) th term of an A.P. is given by 7,12,17, 22,… is **

(a) 5n + 2

(b) 5n + 3

(c) 5n – 5

(d) 5n – 3

**Answer**

D

**Question. How many terms of AP 54, 51, 48… are required to give a sum of 513? **

(a) 21 or 25

(b) 22 or 23

(c) 23 or 24

(d) 18 or 19

**Answer**

D

**Question. Find the next two terms of the A.P.:- -10, -6,-2… **

(a) 4,8

(b) -4,-8

(c) 2,6

(d) 6,10

**Answer**

C

**Question. If 2x, x + 10, 3x + 2 are in A.P., then x is equal to **

(a) 0

(b) 2

(c) 4

(d) 6

**Answer**

D

**Question. The n th term of an A.P. 5, 2, -1, -4, -7 … is **

(a) 2n + 5

(b) 2n – 5

(c) 8 – 3n

(d) 3n – 8

**Answer**

C

**Question. The 32 ^{nd} term of an AP, whose 10^{th} term is 52 and 16^{th} term is 82, is: **

(a) 162

(b) 152

(c) 172

(d) none of these

**Answer**

A

**Question. The total number of terms in an A.P. 18,152/1 ,13,……, − 47 are :**

(a) 20

(b) 25

(c) 27

(d) 30

**Answer**

C

**Question. If nth term of an A.P. is (2n + 1), then the sum of first n terms of the A.P. is : **

(a) n(n +1)

(b) n(n + 2)

(c) n(n + 3)

(d) none of these

**Answer**

B

**Question. Which of the following sequence whose n ^{th} term is given by an, is not an A.P. : **

(a) a

_{n}= 3 – 2n

(b) a

_{n}= 3n – 7

(c) a

_{n}= 2n2 + 1

(d) a

_{n}= – 7n + 5

**Answer**

C

**Question. If the sum of n terms of an A.P. is 2n ^{2} + 5n then its nth term is : **

(a) 4n – 3

(b) 3n – 4

(c) 4n + 3

(d) 3n + 4

**Answer**

C

**Question. In m ^{th} term of an AP is 1 / ,n and n^{th} term is 1/ m, then its (mn)^{th} term is : **

(a) 0

(b) 1

(c) mn / m+ n

(d) m + n / mn

**Answer**

B

**Question. The sum of all three digit natural numbers, which are divisible by 7, is : **

(a) 70336

(b) 70784

(c) 64064

(d) none of these

**Answer**

A

**Question. If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is : **

(a) 3200

(b) 1600

(c) 2000

(d) 3000

**Answer**

A

**Question. The total numbers of terms of A.P. 9, 17, 25, ….. that must be taken so that their sum is 636, is : **

(a) 10

(b) 11

(c) 12

(d) 13

**Answer**

C

**Question. The total number of multiples of 4, between 10 and 250 are : **

(a) 45

(b) 50

(c) 60

(d) none of these

**Answer**

C

We hope the above multiple choice questions for Class 10 Mathematics for Chapter 5 Arithmetic Progression provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Arithmetic Progression is an important chapter in Class 10 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of class 10 students. Please go through these and let us know if you have any feedback in the comments section.