Question Details

Determine the number that logically replaces the question mark (?) in the following sequence.



12, 34, 53, 77, 94, 120, ?

Options

A

133

B

141

C

137

D

139

E

135

Show Answer

Correct Answer :

Option E

135

Solution :

The correct answer is 135.


To find the number that logically replaces the question mark (?) in the sequence, let us calculate the differences between consecutive terms:


34-12=22


53-34=19


77-53=24


94-77=17


120-94=26


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


Now, let us examine the pattern in these differences by splitting them into two alternating sequences:


1. First alternating sequence (odd positions):

22,24,26,...

In this sequence, each number increases by 2 (+2).


2. Second alternating sequence (even positions):

19,17,...

In this sequence, each number decreases by 2 (-2).


The next difference needed to find the missing term is at an even position. Thus, we decrease the previous term (17) by 2:


17-2=15


Adding this difference of 15 to the last term of the given series (120) gives:


120+15=135

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