NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 5: Arithematic Progressions
Exercise 5.1

MCQs on Arithmetic Progressions (AP): nth term, common difference, sums, and simple applications.

Quick Links to Questions

Question.  1

In an AP, if \(d=-4\), \(n=7\), \(a_n=4\), then \(a\) is

(A)

6

(B)

7

(C)

20

(D)

28

Question.  2

In an AP, if \(a=3.5\), \(d=0\), \(n=101\), then \(a_n\) will be

(A)

0

(B)

3.5

(C)

103.5

(D)

104.5

Question.  3

The list of numbers \(-10,-6,-2,2,\ldots\) is

(A)

an AP with \(d=-16\)

(B)

an AP with \(d=4\)

(C)

an AP with \(d=-4\)

(D)

not an AP

Question.  4

The 11th term of the AP \(-5,\; -\dfrac{5}{2},\; 0,\; \dfrac{5}{2},\ldots\) is

(A)

−20

(B)

20

(C)

−30

(D)

30

Question.  5

The first four terms of an AP with \(a=-2\) and \(d=-2\) are

(A)

−2, 0, 2, 4

(B)

−2, 4, −8, 16

(C)

−2, −4, −6, −8

(D)

−2, −4, −8, −16

Question.  6

The 21st term of the AP whose first two terms are \(-3\) and \(4\) is

(A)

17

(B)

137

(C)

143

(D)

−143

Question.  7

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

Question.  8

Which term of the AP \(21,42,63,84,\ldots\) is \(210\)?

(A)

9th

(B)

10th

(C)

11th

(D)

12th

Question.  9

If the common difference of an AP is 5, then what is \(a_{18}-a_{13}\)?

(A)

5

(B)

20

(C)

25

(D)

30

Question.  10

What is the common difference of an AP in which \(a_{18}-a_{14}=32\)?

(A)

8

(B)

−8

(C)

−4

(D)

4

Question.  11

Two APs have the same common difference. The first term of one is \(-1\) and of the other is \(8\). Then the difference between their 4th terms is

(A)

−1

(B)

−8

(C)

7

(D)

−9

Question.  12

If \(7\) times the 7th term of an AP is equal to \(11\) times its 11th term, then its 18th term will be

(A)

7

(B)

11

(C)

18

(D)

0

Question.  13

The 4th term from the end of the AP: \(-11,-8,-5,\ldots,49\) is

(A)

37

(B)

40

(C)

43

(D)

58

Question.  14

The famous mathematician associated with finding the sum of the first 100 natural numbers is

(A)

Pythagoras

(B)

Newton

(C)

Gauss

(D)

Euclid

Question.  15

If the first term of an AP is \(-5\) and the common difference is \(2\), then the sum of the first 6 terms is

(A)

0

(B)

5

(C)

6

(D)

15

Question.  16

The sum of first 16 terms of the AP: \(10,6,2,\ldots\) is

(A)

−320

(B)

320

(C)

−352

(D)

−400

Question.  17

In an AP if \(a=1\), \(a_n=20\) and \(S_n=399\), then \(n\) is

(A)

19

(B)

21

(C)

38

(D)

42

Question.  18

The sum of first five multiples of 3 is

(A)

45

(B)

55

(C)

65

(D)

75

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 5: Arithematic Progressions – Exercise 5.1 | Detailed Answers