Which is the next number in the sequence: 1, 3, 6, 11, 20, 37, ??

Correct Answer: VWYZ

Explanation:

K+2 M+1 N-2 L,  P+2 R+1 S-2 Q,   V+1 W+2 Y+1 Z,   J+2 L+1 M-2 K  and  W+2 Y+1 Z-2 X.

Except VWYZ, all the other groups follow similar pattern.

Correct Answer: 33

Explanation:

The given series follows a pattern that,

+4, +6, +8, +10, +12...

5

5 + 4 = 9

9 + 6 = 15

15 + 8 = 23

23 + 10 = 33

33 + 12 = 45

 

Hence, the missing number in the series is 33.

Correct Answer: 86

Explanation:

Here the given number series is 5  11  21  44  ?  175

 

Now the given series follows a pattern, that

 

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

 

Then the missing number is x2 - 2

 

= 44 x 2 - 2 = 88 - 2 = 86

 

Hence, the missing number in the number series is 86.

Correct Answer: 133

Explanation:

Here among the given numbers, 3, 19, 67 are prime numbers. And 133 is not a prime number.

 

Hence, the odd number of the given numbers is 133.

Correct Answer: 23

Explanation:

The given number series 2, 19, 0, 21, ?2, ? follows a pattern,

2

2 + 17 = 19

19 - 19 = 0

0 + 21 = 21

21 - 23 = -2

-2 + 25 = 23

 

Hence, the next number in the series is 23.

Correct Answer: 277

Explanation:

The given number series is 

 

71      88       113       150       203          277

   +17    +25       +37      +53        +74

        +8      +12        +16       +21

            +4          +4         +5

 

The series should be  71  88  112   150    203   276 i.e, the differences of the difference should be +4.

 

Hence, the odd man in the given series is 277.

Correct Answer: 278.5

Explanation:

The given number series is 35, 36, 55, 111, ?

35

35 x 1 + 1 = 36

36 x 1.5 + 1 = 55

55 x 2 + 1 = 111

111 x 2.5 + 1 = 278.5

 

Hence, the next number in the given number series is 278.5.

Correct Answer: 7.5

Explanation:

The given number series follows a pattern that

11

11 - 5.5 = 5.5

5.5 + 4.5 = 10

10 - 3.5 = 6.5

6.5 + 2.5 = 9

9 - 1.5 = 7.5

 

Hence, the next number in the given number series is 7.5.

Correct Answer: 121

Explanation:

Given number series is 61, 66, 83, 121, 185

Here the given series follows a pattern that,

 

$$\begin{gathered} 61 \\ 61 + 2 2 + 1 = 66 \\ 66 + 4 2 + 1 = 83 \\ 83 + 6 2 + 1 = 120 ( not 121 ) \\ 120 + 8 2 + 1 = 185 \end{gathered}$$

 

 

Hence, the odd man in the given series is 121.

Correct Answer: 254

Explanation:

The given series 16, 254, 1296, 4096, 10000 follows a pattern that

 

2 4 , 4 4 , 6 4 , 8 4 , 10 4 , . . .

Hence, the odd man in the series is 4 x 4 x 4 x 4 = 256 not 254.