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- Question
In the series 2, 6, 18, 54, ...... what will be the 8th term?
Options- A. 4370
- B. 4374
- C. 7443
- D. 7434
- Correct Answer
- 4374
ExplanationClearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,.....So, the series is a G.P. in which a = 2, r = 3.
Therefore 8th term = ar8-1 = ar7 = 2 x 37 = (2 x 2187) = 4374.
Series Completion problems
Search Results
- 1. 3, 10, 101,?
Options- A. 10101
- B. 10201
- C. 10202
- D. 11012 Discuss
Correct Answer: 10202
Explanation:
Each term in the series is obtained by adding 1 to the square of the preceding term.So, missing term = (101)2 + 1 = 10202.
- 2. 589654237, 89654237, 8965423, 965423,?
Options- A. 58965
- B. 65423
- C. 89654
- D. 96542 Discuss
Correct Answer: 96542
Explanation:
The digits are removed one by one from the beginning and the end in order alternatelyso as to obtain the subsequent terms of the series.
- 3. 120, 99, 80, 63, 48,?
Options- A. 35
- B. 38
- C. 39
- D. 40 Discuss
Correct Answer: 35
Explanation:
The pattern is - 21, - 19, - 17, - 15,.....So, missing term = 48 - 13 = 35.
- 4. If A $ B means A is the brother of B; A @ B means A is the wife of B; A # B means A is the daughter of B and A * B means A is the father of B, which of the following indicates that U is the father-in-law of P?
Options- A. P @ Q $ T # U * W
- B. P @ W $ Q * T # U
- C. P @ Q $ W * T # U
- D. P @ Q $ T # W * U Discuss
Correct Answer: P @ Q $ T # U * W
Explanation:
P @ Q ? P is the wife of Q ...(1)Q $ T ? Q is the brother of T ...(2)
T # U ? T is the daughter of U
Hence, ? Q is the son of U ...(3)
U * W ? U is the father of W.
From (1) and (3), U is the father-in-law of P.
- 5. M is the father of N who is the son of V. In order to know the relation of M to P, which of the statement/statements is/are necessary?
- P is the brother of V.
- The daughter of N is the granddaughter of V.
Options- A. Only (1)
- B. Only (2)
- C. Either (1) or (2)
- D. (1) and (2) both Discuss
Correct Answer: Only (1)
Explanation:
M is the father of N and N is the son of V.Hence, V is the mother of N.
From (1), P is the brother of V
Therefore, M is the brother-in-law of P because V is the wife of M.
From (2), the daughter of N, is the granddaughter of V. From this we do not get any relation of M to P.
- 6. 125,80,45,20,?
Options- A. 5
- B. 8
- C. 10
- D. 12 Discuss
Correct Answer: 5
Explanation:
The pattern is - 45, - 35, - 25, .....So, missing term = 20 - 15 = 5.
- 7. 1, 1, 4, 8, 9, 27, 16,?
Options- A. 32
- B. 64
- C. 81
- D. 256 Discuss
Correct Answer: 64
Explanation:
The series consists of squares and cubes of consecutive natural numbers i.e. 12, 13, 22, 23, 32, 33, 42, .....So, missing term = 43 = 64.
- 8. 1, 2, 3, 6, 9, 18,?, 54
Options- A. 18
- B. 27
- C. 36
- D. 81 Discuss
Correct Answer: 27
Explanation:
The pattern is x 2, x 3/2, x 2, x 3/2, x 2,.....So, missing term = 18 x 3/2 = 27.
- 9. 6, 13, 25, 51, 101,?
Options- A. 201
- B. 202
- C. 203
- D. 205 Discuss
Correct Answer: 203
Explanation:
The pattern is x 2 + 1, x 2 - 1, x 2 + 1, x 2 - 1,.....So, missing term = 101 x 2 + 1 = 203.
- 10. 5,6,9, 15,?, 40
Options- A. 21
- B. 25
- C. 27
- D. 33 Discuss
Correct Answer: 25
Explanation:
The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1, + 2), + (1 + 2 + 3),.....So, missing term = 15 + (1 + 2 + 3 + 4) = 25.
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