Find the odd man out of the following number sequence? 3, 5, 13, 43, 167

Correct Answer: 450

Explanation:

Given Series is 5, 14, 42, 107, 233, _?

5, 14, 42, 107, 233, _?

Differences is 9, 28, 65, 126

9 = 2^3 + 1

28 = 3^3 + 1

65 = 4^3 + 1

126 = 5^3 + 1

Now, next difference must be 6^3 + 1 = 217

Hence, next number in the given series = 233 + 217 = 450.

Correct Answer: 65

Explanation:

The given number series is 50, 51, 47, 56, 40, ?

 

$$\begin{gathered} 50 \\ 50 + 1 2 = 51 \\ 51 - 2 2 = 47 \\ 47 + 3 2 = 56 \\ 56 - 4 2 = 40 \\ 40 + 5 2 = 65 \end{gathered}$$

 

Hence, the next number in the given number series is 65.

Correct Answer: -1

Explanation:

3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series

1) 3, 6, 9, 12, 15.....

2) 7, 5, 3, 1, .....

-1 is the next number.

Correct Answer: 35

Explanation:

Here the given number series is 0, 3, 8, 15, 24, ?

The next number in the given series can be found such a way that the number series follows a pattern,

$$\begin{gathered} 2 2 - 4 = 0 \\ 3 2 - 6 = 3 \\ 4 2 - 8 = 8 \\ 5 2 - 10 = 15 \\ 6 2 - 12 = 24 \\ 7 2 - 14 = 35 \\ Hence , the next number in the iven series is 35 . \end{gathered}$$

Correct Answer: 80

Explanation:

Next number of the sequence 1, 4, 12, 32,...

1 = 2 x  2 0

4 = 2 x  2 1

12 = 3 x  2 2

32 = 4 x  2 3

80 = 5 x  2 4.

Correct Answer: 244

Explanation:

The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

$$\begin{gathered} 22 \\ 22 + 2 2 = 22 + 4 = 26 \\ 26 + 4 2 = 26 + 16 = 42 \\ 42 + 6 2 = 42 + 36 = 78 \\ 78 + 8 2 = 78 + 64 = 142 \\ 142 + 10 2 = 142 + 100 = 242 \end{gathered}$$ 

 

Hence, the odd one in the given number series is 244.

 

Correct Answer: 14

Explanation:

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

$$\begin{gathered} 96 \\ 96 - 1 2 = 95 \\ 95 - 2 3 = 95 - 8 = 87 \\ 87 - 3 2 = 87 - 9 = 78 \\ 78 - 4 3 = 78 - 64 = 14 \end{gathered}$$

 

Hence, the next number in the given number series is 14.

Correct Answer: 2

Explanation:

Here the given number series is 2 4 27 256 3125 46656

It follows a pattern that,

$$\begin{gathered} 1 1 = 1 \\ 2 2 = 4 \\ 3 3 = 27 \\ 4 4 = 256 \\ 5 5 = 3125 \\ 6 6 = 46656 \end{gathered}$$

 

Hence the wrong number in the given number series is 2 instead of 1.

Correct Answer: 742

Explanation:

The given number series is 720, 732, 708, 742, 696

 

720

720 + 12 = 732

732 - 24 = 708

708 + 36 = 744 (Not 742)

744 - 48 = 696

 

Hence, the odd man in the given number series is 742.

Correct Answer: 364

Explanation:

The given number series is 3, 12, 39, 120, 364

$$\begin{gathered} 3 \\ 3 + 3 2 = 3 + 9 = 12 \\ 12 + 3 3 = 12 + 27 = 39 \\ 39 + 3 4 = 39 + 81 = 120 \\ 120 + 3 5 = 120 + 243 = 363 ( Not 364 ) \end{gathered}$$