**MCQs Questions for Class 10 Maths Chapter 5 Arithmetic Progressions**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 10 Maths Chapter 5
Arithmetic Progressions**

**1.**
The n^{th} term of an A.P. is given by a_{n} = 3 +
4n. The common difference is

(A) 7

(B) 3

(C) 4

(D) 1

**Answer:
C**

**2.** The
first four terms of an AP, whose first term is –2 and the common difference is
–2, are

(A) – 2, 0,
2, 4

(B) – 2, 4,
– 8, 16

(C) – 2, –
4, – 6, – 8

(D) – 2, – 4, – 8, –16

**Answer: C**

**3.**
If the sum of three numbers in an A.P. is 9 and their product is 24, then
numbers are

(A) 2, 4, 6

(B) 1, 5, 3

(C) 2, 8, 4

(D) 2, 3, 4

**Answer: D**

**4.**
First four terms of the sequence a_{n} = 2n + 3 are

(A) 3, 5, 7, 9

(B) 5, 7, 9, 11

(C) 5, 8, 11, 14

(D) 1, 3, 5, 7

**Answer: B**

**5.** 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**

**6.**
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**

**7.**
If nth term of an AP is 7 – 4n, then its common difference is

(A) 4

(B) -4

(C) 3

(D) 11

**Answer: D**

**8.** 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**

**9.**
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**

**10.**
If p – 1, p + 3, 3p – 1 are in AP, then p is equal to

(A) 4

(B) -4

(C) 2

(D) -2

**Answer: A**

**11.** 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**

**12.**
The sum of first n odd natural numbers is

(A) 2n²

(B) 2n + 1

(C) 2n – 1

(D) n²

**Answer: D**

**13.**
The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the
first n terms of the AP: 57, 59, 61, … then n is equal to.

(A) 10

(B) 11

(C 12

(D) 13

**Answer: B**

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

(A) 45

(B) 55

(C) 65

(D) 75

**Answer: A**

**15.** If a, b, c, d, e are in A.P., then the value of a – 4b + 6c
– 4d + e is

(A) 0

(B) 1

(C) -1.

(D) 2

**Answer: A**

**16.** Which term of the AP: 27, 24, 21, ……… is zero?

(A) 8th

(B) 10th

(C) 9th

(D) 11^{th}

**Answer: B**

**17.** Two
APs have the same common difference. The first term of one of these is –1 and
that of the other is –8. Then the difference between their 4th terms is

(A) –1

(B) –8

(C)
7

(D) –9

**Answer: C**

**18.** The 10th term from the end of the A.P. 4, 9,14, …, 254 is

(A) 209

(B) 205

(C) 214

(D) 213

**Answer: A**

**19.** The sum of first n terms of the series a, 3a, 5a, …….. is

(A) na

(B) (2n – 1)a

(C n²a

(D) n²a²

**Answer: C**

**20.** In an
AP, if a = 1, a_{n} = 20 and S_{n} = 399, then n is

(A) 19

(B) 21

(C)
38

(D) 42

**Answer: C**