1. Find the sum of the first 9 terms of an arithmetic progression whose first term is 5 and the last term is 33.
A. 85.5
B. 171
C. 342
D. Cannot be determined
Correct Answer : D
2. Find the sum of the first seven terms of an arithmetic progression whose first term is one and the common difference is 3.
A. 70
B. 35
C. 140
D. 105
Correct Answer : A
3. Find the fourth term of the arithmetic progression whose first term is 6 and the seventh term is 24.
A. 15
B. 7.5
C. 9
D. Cannot be determined
Correct Answer : A
4. Find the geometric mean of 4, 8, 16 and 32.
A. 128
B. â√128
C. 15
D. 16
Correct Answer : B
5. Which term of the series 2, 5, 8, 11, ….. is 266?
A. 88áµ—Ê°
B. 89áµ—Ê°
C. 90áµ—Ê°
D. 91ˢᵗ
Correct Answer : B
6. Find the eighth term of an arithmetic progression whose first term is 7 and the common difference is 5.
A. 24
B. 47
C. 42
D. Cannot be determined
Correct Answer : C
7. Find the sum of the first 25 terms of an arithmetic progression whose 13th term is 20
A. 250
B. 400
C. 500
D. Cannot be determined
Correct Answer : C
8. Find the arithmetic mean of an arithmetic progression with 17 terms whose ninth term is 11.
A. 22
B. 11
C. 33
D. Cannot be determined
Correct Answer : B
9. An arithmetic progression has 200 terms. The 'p'th term from the beginning is 15. The 'p'th term from the end is 45. Find the sum of all the terms.
A. 12000
B. 6000
C. 9000
D. Cannot be determined
Correct Answer : B
10. Find the sum of the first four terms of a geometric progression whose first term is 4 and the common ratio is 3
A. 320
B. 160
C. 80
D. Cannot be determined
Correct Answer : B
11. Find the fourth term of a geometric progression whose second term is 8 and sixth term is 32.
A. 16
B. -16
C. Either (A) or (B)
D. Neither (A) or (B)
Correct Answer : A
12. The sum of the first 61 terms of an arithmetic progression is 0. Which of the following terms is necessarily 0?
A. 15
B. 30
C. 31
D. None of these
Correct Answer : C
13. If p, q and r are in arithmetic progression, then the 'p'th term, 'q'th term and the 'r'th term of a geometric progression are in
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. Both (A) and (B)
Correct Answer : B
14. If p, q and r are in arithmetic progression, the 'p'th term, 'q'th term and the 'r'th term of an arithmetic progression are in
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. None of these
Correct Answer : A
15. Two distinct positive numbers have their geometric mean equal to 9. Their arithmetic mean will be
A. < 9
B. 9
C. > 9
D. Cannot be determined
Correct Answer : C
16. If a, b and c are distinct positive numbers in geometric progression, log a, log b and log c will be in
A. arithmetic progression
B. geometric progression
C. harmonic progression
D. None of these
Correct Answer : A
17. The sum of the first 30 terms of an arithmetic progression is 40. The sum of its first 80 terms is also 40. Find the sum of its 31 st and 80th terms.
A. 0
B. 40
C. 20
D. 80
Correct Answer : A
18. A geometric progression has its seventh term equal to 2. Find the geometric mean.
A. 2
B. -2
C. 2 or -2
D. Cannot be determined
Correct Answer : D
19. A geometric progression has its seventh term equal to 2. Find the product of its first 13 terms.
A. 4
B. 16
C. 2048
D. 8192
Correct Answer : D
20. Find the eighth term of a geometric progression whose first term as well as common ratio is 2.
A. 128
B. 256
C. 512
D. 1024
Correct Answer : B
21. Find the sum of the first 7 terms of a geometric progression whose first term is 1 and the fourth term is 8.
A. 63
B. 65
C. 127
D. 129
Correct Answer : C
22. Each term of a geometric progression is (1/x)th of the sum of all the terms following it. Find the common ratio of the progression in terms of x.
A. (x - 1) / x
B. x / (x + 1)
C. (x + 1) / (x + 2)
D. None of these
Correct Answer : B
23. Find the sum to infinity of 1, 1/4, 1/16......
A. 45019
B. 45021
C. 44989
D. 45050
Correct Answer : C
24. The sum of first 20 terms in an arithmetic progression is 210. Find the sum of the 10th and the 11th terms.
A. 21
B. 10.5
C. 42
D. Cannot be determined
Correct Answer : A
25. The 30th term from the beginning in a 100 term series is the term from the end.
A. 69
B. 70
C. 71
D. 72
Correct Answer : C
26. Find the sum of the cubes of the first ten natural numbers.
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