Question Details

300, 299, 295, 286, 270, ?
Find the missing number in the following number series.

Options

A

188

B

245

C

258

D

230

Show Answer

Correct Answer :

Option B

245

Solution :

The correct answer is 245.


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


300 - 299 = 1 = 1 2


299 - 295 = 4 = 2 2


295 - 286 = 9 = 3 2


286 - 270 = 16 = 4 2


The difference between consecutive terms is the square of consecutive natural numbers (12, 22, 32, 42, ...).


Following this pattern, the next difference must be:


5 2 = 25


Therefore, subtracting 25 from the last given number (270) gives the missing number:


270 - 25 = 245


Thus, the missing number in the series is 245.

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