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.

Question.  1

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

(A)

6

(B)

7

(C)

20

(D)

28

Open

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

Open

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

Open

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

Open

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

Open

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

Open

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

Open

Question.  8

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

(A)

9th

(B)

10th

(C)

11th

(D)

12th

Open

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

Open

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

Open

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

Open

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

Open

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

Open

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

Open

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

Open

Question.  16

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

(A)

−320

(B)

320

(C)

−352

(D)

−400

Open

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

Open

Question.  18

The sum of first five multiples of 3 is

(A)

45

(B)

55

(C)

65

(D)

75

Open

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