Question Details

Directions:

Identify the number that should replace the question mark in the series below.

73, 81, 92, 106, 123, ?

Options

A

138

B

146

C

140

D

143

E

149

Show Answer

Correct Answer :

Option D

143

Solution :

The correct answer is 143.

To find the number that replaces the question mark, let us analyze the pattern by calculating the differences between consecutive terms in the series:

81-73=8

92-81=11

106-92=14

123-106=17

Notice that the differences between consecutive numbers form their own sub-series: 8, 11, 14, 17.

Now, let us find the pattern in these differences (the second-level difference):

11-8=3

14-11=3

17-14=3

The difference increases by 3 at each step. Therefore, the next difference to add to the series is:

17+3=20

Finally, adding this difference of 20 to the last given term (123) gives the missing number:

123+20=143

Hence, the number that should replace the question mark is 143.

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