Question Details

In each of these questions a number series is given. In each series only one number is wrong. Find out the wrong number.

304, 300, 316, 332, 364, 428, 556

Options

A

300

B

316

C

304

D

332

E

428

Show Answer

Correct Answer :

Option A

300

Solution :

The correct option is 300.


Let us analyze the given number series to identify the pattern and find the incorrect number:

304, 300, 316, 332, 364, 428, 556


Let us calculate the differences between consecutive terms starting from the end of the series, where the pattern becomes clearer:

556-428=128

428-364=64

364-332=32

332-316=16


Notice that each difference between successive numbers is halved as we move towards the left:

128643216

These differences are powers of 2:

27=128

26=64

25=32

24=16


Following this pattern, the preceding differences should be 23=8 and 22=4.


Subtracting 8 from 316 gives the correct second number:

316-8=308


Checking the first term with the correct second term (308):

308-4=304

This matches the first term in the series (304).


Therefore, the number 300 is wrong and should be replaced by 308 to follow the pattern.

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