15, 16, 34, 105, 424, 2124, 12756

Question: 15, 16, 34, 105, 424, 2124, 12756
[A].

16

[B].

34

[C].

105

[D].

424

Answer: Option E

Explanation:

2nd term = (1st term) x 1 + 1 = 15 x 1 + 1 = 16.

3rd term = (2nd term) x 2 + 2 = 16 x 2 + 2 = 34.

4th term = (3th term) x 3 + 3 = 34 x 3 + 3 = 105.

5th term = (4th term) x 4 + 4 = 105 x 4 + 4 = 424

6th term = (5th term) x 5 + 5 = 424 x 5 + 5 = 2125

6th term should 2125 instead of 2124.

10, 26, 74, 218, 654, 1946, 5834

Question: 10, 26, 74, 218, 654, 1946, 5834

[A].

26

[B].

74

[C].

218

[D].

654

Answer: Option D

Explanation:

2nd term = (1st term) x 3 – 4 = 10 x 3 – 4 = 26.

3rd term = (2nd term) x 3 – 4 = 26 x 3 – 4 = 74.

4th term = (3th term) x 3 – 4 = 74 x 3 – 4 = 218.

5th term = (4th term) x 3 – 4 = 218 x 3 – 4 = 650.

5th term must be 650 instead of 654.

6, 12, 48, 100, 384, 768, 3072

Question:
6, 12, 48, 100, 384, 768, 3072

[A].

768

[B].

384

[C].

100

[D].

48

Answer: Option C

Explanation:

Each even term of the series is obtained by multiplying the previous term by 2.

2nd term = (1st term) x 2 = 6 x 2 = 12

4th term = (3rd term) x 2 = 48 x 2 = 96.

6th term = (5th term) x 2 = 384 x 2 =768.

4th term should be 96 instead of 100.