Question Details

100, 142, 212, 310, 436, 595, 772
Find the wrong number in the following number series.

Options

A

142

B

595

C

310

D

772

Show Answer

Correct Answer :

Option B

595

Solution :

`. Let's construct the output carefully: 595

The correct option is 595.


To find the wrong number in the given series, let's analyze the difference between consecutive terms:


142-100=42

212-142=70

310-212=98

436-310=126


Now, let's calculate the second differences (the difference between consecutive first differences):


70-42=28

98-70=28

126-98=28


The second difference is constant and equal to 28. Following this pattern, the next differences should be:


Next difference = 126+28=154

Following difference = 154+28=182


Applying these differences to find the correct terms in the series:


6th term should be: 436+154=590

7th term check: 590+182=772


Hence, the number 595 given in the series is incorrect and should be replaced by 590.

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