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Question (11)

QN0036681

If the 5th term of an AP is 18 and the 11th term is 42, then the common difference is:

(A) 3
(B) 4
(C) 5
(D) 6

Correct Answer: B

Explanation:

a11 - a5 = 6d. Therefore, 42 - 18 = 6d, giving d = 4.

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Question (12)

QN0036682

If the 4th term of an AP is 11 and the 10th term is 29, its first term is:

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: B

Explanation:

6d = 29 - 11 = 18, so d = 3. Therefore, a + 9 = 11, giving a = 2.

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Question (13)

QN0036683

If the 3rd term of an AP is 12 and the 8th term is 32, what is its 15th term?

(A) 56
(B) 60
(C) 64
(D) 68

Correct Answer: B

Explanation:

5d = 32 - 12 = 20, so d = 4. Then a = 4 and a15 = 4 + 14(4) = 60.

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Question (14)

QN0036684

Which of the following numbers is a term of the AP 6, 11, 16, 21, ...?

(A) 51
(B) 52
(C) 53
(D) 54

Correct Answer: A

Explanation:

51 = 6 + 5(n - 1), giving n = 10. Hence 51 is a term.

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Question (15)

QN0036685

Which of the following is NOT a term of the AP 5, 9, 13, 17, ...?

(A) 29
(B) 41
(C) 57
(D) 60

Correct Answer: D

Explanation:

The general term is 5 + 4(n - 1), so every term is congruent to 1 modulo 4. Since 60 does not satisfy the equation, it is not a term.

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Question (16)

QN0036686

How many terms are there in the AP 8, 13, 18, ..., 103?

(A) 19
(B) 20
(C) 21
(D) 22

Correct Answer: B

Explanation:

103 = 8 + 5(n - 1). Thus, n - 1 = 19 and n = 20.

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Question (17)

QN0036687

How many terms are there in the AP 11, 16, 21, ..., 156?

(A) 28
(B) 29
(C) 30
(D) 31

Correct Answer: C

Explanation:

156 = 11 + 5(n - 1). Therefore, n - 1 = 29 and n = 30.

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Question (18)

QN0036688

How many two-digit positive multiples of 5 are there?

(A) 17
(B) 18
(C) 19
(D) 20

Correct Answer: B

Explanation:

The sequence is 10, 15, ..., 95. Number of terms = (95 - 10)/5 + 1 = 18.

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Question (19)

QN0036689

How many three-digit positive multiples of 9 are there?

(A) 99
(B) 100
(C) 101
(D) 110

Correct Answer: B

Explanation:

The sequence is 108, 117, ..., 999. Number of terms = (999 - 108)/9 + 1 = 100.

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Question (20)

QN0036690

In a finite AP containing 30 terms, which term is the 12th term from the end?

(A) 18th
(B) 19th
(C) 20th
(D) 21st

Correct Answer: B

Explanation:

The kth term from the end is the (n - k + 1)th term from the beginning. Thus, 30 - 12 + 1 = 19.

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Question (11)

If the 5th term of an AP is 18 and the 11th term is 42, then the common difference is:

Explanation:

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Question (12)

If the 4th term of an AP is 11 and the 10th term is 29, its first term is:

Explanation:

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Question (13)

If the 3rd term of an AP is 12 and the 8th term is 32, what is its 15th term?

Explanation:

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Question (14)

Which of the following numbers is a term of the AP 6, 11, 16, 21, ...?

Explanation:

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Question (15)

Which of the following is NOT a term of the AP 5, 9, 13, 17, ...?

Explanation:

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Question (16)

How many terms are there in the AP 8, 13, 18, ..., 103?

Explanation:

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Question (17)

How many terms are there in the AP 11, 16, 21, ..., 156?

Explanation:

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Question (18)

How many two-digit positive multiples of 5 are there?

Explanation:

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Question (19)

How many three-digit positive multiples of 9 are there?

Explanation:

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Question (20)

In a finite AP containing 30 terms, which term is the 12th term from the end?

Explanation:

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