Solve logic number series riddle

Find solution of a logic number series riddle:

Question: 32, 45, 60, 77, ?

Find the last number in the series

Answer: It is a logic number series. The first number in the series is 32 & an odd number 13 is added to get 45. Then we add 2 with 13 to get 15 & add it with 45 to get 60. Again 2 is added with 15 to get 17 & it is added to 60 to get 77.

Now we need to find what should be the last number in this series. So we need to add 2 with 17 to get 19 & add it to the previous number in the series to get 96.

Answer = 96

Question: 1, ?, 2, 4, 8, 16, 32

Find the unknown number in the series

Solution) It is a simple logic number riddle that can be solved by adding all previous numbers to get new number.

Here is the question: 1, ?, 2, 4, 8, 16, 32

Now there are 7 variables & only second variable is unknown.

V1 = 1

V2 = ?

V3 = 2

V4 = 4

V5 = 8

V6 = 16

V7 = 32

We can start with first variable V1. We add V1 with previous digit which is not available so assume it as 0.

V1 + 0 = V1 = 1

Now, we can move to V2. We need to add V2 with previous variable V1 to get V3.

V2 + V1 = V3

V2 = V3 – V1

We know the values of V1 & V3, only V2 is unknown,

V2 = 2 – 1 = 1

V2 = 1

Hence answer = 1

We need to choose the correct answer out of multiple choices.

A) 1.5

B) 1

C) 0.5

Hence the correct answer is B. 1

But, for confirmation we can proceed further,

V4 = V1 + V2 + V3

V4 = 1 + 1 + 2 = 4

V5 = V1 + V2 + V3 + V4

V5 = 1 + 1 + 2 + 4 = 8

V6 = V1 + V2 + V3 + V4 + V5

V6 = 1 + 1 + 2 + 4 + 8 = 16

V7 = V1 + V2 + V3 + V4 + V5 + V6

V7 = 1 + 1 + 2 + 4 + 8 + 16 = 32

Hence it is confirmed that V2 = 1 because it satisfies all equations.

We can write the series as:

1, 1, 2, 4, 8, 16, 32