Question Details

Directions: Determine the number that should replace the question mark (?) in the following sequence.

327, 259, 199, 147, 103, 67, ?

Options

A

39

B

35

C

37

D

41

E

43

Show Answer

Correct Answer :

Option A

39

Solution :

The correct answer is 39.

To find the missing number in the given sequence, let us analyze the pattern by calculating the difference between consecutive terms:

327-259=68

259-199=60

199-147=52

147-103=44

103-67=36

Notice the sequence of differences obtained between consecutive terms:
68, 60, 52, 44, 36

Now, let us examine the pattern in these differences by calculating the change from one difference to the next:

68-60=8

60-52=8

52-44=8

44-36=8

The differences are consistently decreasing by 8 at each step. Therefore, the next difference to subtract from 67 is:

36-8=28

Subtracting 28 from the last term (67) gives the missing value:

67-28=39

Thus, the number that should replace the question mark (?) is 39.

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