NIELIT Scientific Assistant A 2020 November: 12

Question

$\text{14, 28, 20, 40, 32, 64, _________}$

• A. $52$
• B. $56$
• C. $96$
• D. $128$

Answer 1

The pattern of the given series is as follows:

• $14*2=28$
• $28-8=20$
• $20*2=40$
• $40-8=32$
• $32*2=64$
• $64-8=56$

Option (B) is correct.

Answer 2

OPTION(B)

The above given series can be considered as two series.

First Series : Consisting all the odd position numbers ( 14, 20, 32 , x) : x is the term to be discovered.

Second Series : Consisting all the odd position numbers ( 28, 40, 64)

Since x is in the first series so, let’s focus on it.

Check the following difference pattern in two successive terms of the series.

20 - 14 = 6

32 - 20 = 12

Since the difference in a pair of successive numbers is doubling so the next will be :-

x - 32 = 24

solving x we get,

x = 24 + 32

x = 56

HENCE THE NEXT TERM OF THE SERIES IS 56. :)