Question Details

Which of the following numbers will replace the question mark (?) in the given series?
549   482   439   372   329   262   219   ?

Options

A

132

B

162

C

152

D

149

Show Answer

Correct Answer :

Option C

152

Solution :

The correct answer is 152 (Option 3).

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

549 - 482 = 67
482 - 439 = 43
439 - 372 = 67
372 - 329 = 43
329 - 262 = 67
262 - 219 = 43

We can observe an alternating subtraction pattern where 67 and 43 are subtracted alternately:

First step: Subtraction of 67
Second step: Subtraction of 43
Third step: Subtraction of 67
Fourth step: Subtraction of 43
Fifth step: Subtraction of 67
Sixth step: Subtraction of 43

Following this alternating pattern, the next operation required to replace the question mark (?) is subtracting 67 from the last term (219):

219 - 67 = 152

Thus, the number that replaces the question mark (?) is 152.

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