Question Details

Directions (48-52): What will come in place of question mark (?) in the following questions.


8, 30, 49, 73, 90, 116, ?

Options

A

137

B

131

C

133

D

129

Show Answer

Correct Answer :

Option B

131

Solution :

The correct option is 131.


To find the missing term in the given number series, let us analyze the differences between consecutive numbers:


30-8=22

49-30=19

73-49=24

90-73=17

116-90=26


The sequence of first differences is: 22, 19, 24, 17, 26.


Let us look at the pattern in these differences by splitting them into two alternating series:

1st, 3rd, 5th differences: 22, 24, 26 (increasing by +2 each time)

2nd, 4th, 6th differences: 19, 17, 15 (decreasing by -2 each time)


Following this alternating logic, the next difference (6th difference) should be:

17-2=15


Now, add this difference of 15 to the last number of the series (116) to find the missing value (?):

?=116+15=131


Thus, the number that comes in place of the question mark is 131.

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