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Question

What are the last two digits in the square of 39?


A
21
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B
31
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C
41
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D
11
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Solution

The correct option is A 21
We'll use the proximity to 50 method.
First, subtract 25 from 39
3925=14.
Next, subtract 39 from 50 and square the result.
(5039)2=(11)2=121.
Since the last two digits are only taken while using the proximity to 50 method,
1 is a carryover and is added to 14.
392=[14+1]21=1521
Hence, the last two digits are 21.

Mathematics

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