series completion verbal reasoning questions

Directions to Solve

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.

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