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Question (21)

QN0036691

In an AP containing 25 terms, the 8th term from the end is which term from the beginning?

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

Correct Answer: B

Explanation:

25 - 8 + 1 = 18. Hence, it is the 18th term from the beginning.

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Question (22)

QN0036692

What is the 9th term from the end of the AP 5, 9, 13, ..., 81?

(A) 45
(B) 49
(C) 53
(D) 57

Correct Answer: B

Explanation:

81 = 5 + 4(n - 1), so n = 20. The 9th term from the end is the 12th term from the beginning. a12 = 5 + 11(4) = 49.

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Question (23)

QN0036693

The sum of the first 10 terms of the AP 3, 7, 11, 15, ... is:

(A) 190
(B) 200
(C) 210
(D) 220

Correct Answer: C

Explanation:

S10 = 10/2

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Question (24)

QN0036694

The sum of the first 15 terms of the AP 2, 5, 8, 11, ... is:

(A) 330
(B) 345
(C) 360
(D) 375

Correct Answer: B

Explanation:

S15 = 15/2

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Question (25)

QN0036695

What is the sum of the first 20 terms of the AP 10, 8, 6, 4, ...?

(A) -180
(B) -160
(C) 160
(D) 180

Correct Answer: A

Explanation:

a20 = 10 + 19(-2) = -28. Thus, S20 = 20/2(10 - 28) = -180.

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Question (26)

QN0036696

If S12 = 246 for an AP whose first term is 4, then its common difference is:

(A) 2
(B) 3
(C) 4
(D) 5

Correct Answer: B

Explanation:

246 = 12/2

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Question (27)

QN0036697

If S10 = 155 for an AP whose first term is 2, what is its common difference?

(A) 2
(B) 3
(C) 4
(D) 5

Correct Answer: B

Explanation:

155 = 10/2

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Question (28)

QN0036698

The sum of the first 25 positive integers is:

(A) 300
(B) 315
(C) 325
(D) 350

Correct Answer: C

Explanation:

S25 = 25(26)/2 = 325.

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Question (29)

QN0036699

The sum of the first 30 positive even integers is:

(A) 900
(B) 920
(C) 930
(D) 960

Correct Answer: C

Explanation:

The terms are 2, 4, ..., 60. S = 30/2(2 + 60) = 930.

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Question (30)

QN0036700

The sum of the first 20 positive multiples of 7 is:

(A) 1400
(B) 1470
(C) 1540
(D) 1610

Correct Answer: B

Explanation:

The terms are 7, 14, ..., 140. S20 = 20/2(7 + 140) = 1470.

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Question (21)

In an AP containing 25 terms, the 8th term from the end is which term from the beginning?

Explanation:

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Question (22)

What is the 9th term from the end of the AP 5, 9, 13, ..., 81?

Explanation:

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Question (23)

The sum of the first 10 terms of the AP 3, 7, 11, 15, ... is:

Explanation:

Link:

Question (24)

The sum of the first 15 terms of the AP 2, 5, 8, 11, ... is:

Explanation:

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Question (25)

What is the sum of the first 20 terms of the AP 10, 8, 6, 4, ...?

Explanation:

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Question (26)

If S12 = 246 for an AP whose first term is 4, then its common difference is:

Explanation:

Link:

Question (27)

If S10 = 155 for an AP whose first term is 2, what is its common difference?

Explanation:

Link:

Question (28)

The sum of the first 25 positive integers is:

Explanation:

Link:

Question (29)

The sum of the first 30 positive even integers is:

Explanation:

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Question (30)

The sum of the first 20 positive multiples of 7 is:

Explanation:

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