Verbal Reasoning - Series Completion

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

6. 

1, 1, 4, 8, 9, 27, 16, ?

A. 32
B. 64
C. 81
D. 256

Answer: Option B

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.


7. 

1, 2, 3, 6, 9, 18, ?, 54

A. 18
B. 27
C. 36
D. 81

Answer: Option B

Explanation:

The pattern is x 2, x 3/2, x 2, x 3/2, x 2,.....

So, missing term = 18 x 3/2 = 27.


8. 

6, 13, 25, 51, 101, ?

A. 201
B. 202
C. 203
D. 205

Answer: Option C

Explanation:

The pattern is x 2 + 1, x 2 - 1, x 2 + 1, x 2 - 1,.....

So, missing term = 101 x 2 + 1 = 203.


9. 

5, 6, 9, 15, ?, 40

A. 21
B. 25
C. 27
D. 33

Answer: Option B

Explanation:

The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1 + 2), + (1 + 2 + 3),.....

So, missing term = 15 + (1 + 2 + 3 + 4) = 25.


10. 

1, 3, 4, 8, 15, 27, ?

A. 37
B. 44
C. 50
D. 55

Answer: Option C

Explanation:

The sum of any three consecutive terms of the series gives the next term.

So, missing number = 8 + 15 + 27 = 50.