Question : Let $x$ be the least number which when subtracted from 10424 gives a perfect square number. What is the least number by which $x$ should be multiplied to get a perfect square?
Option 1: 3
Option 2: 2
Option 3: 6
Option 4: 5

Question

Question : Let $x$ be the least number which when subtracted from 10424 gives a perfect square number. What is the least number by which $x$ should be multiplied to get a perfect square?

Option 1: 3

Option 2: 2

Option 3: 6

Option 4: 5

Team Careers360 · Accepted Answer

Correct Answer: 5

Solution : 10404 is a perfect square nearest to 10424.
So, 20 should be subtracted from 10424 to get the perfect square.
$ herefore$ $x$ = 20
Prime factors of 20 = 2 × 2 × 5
So, $x$ should be multiplied by 5 to get the perfect square.
Hence, the correct answer is 5.

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Question : Let x be the least number which when subtracted from 10424 gives a perfect square number. What is the least number by which x should be multiplied to get a perfect square?Option 1: 3Option 2: 2Option 3: 6Option 4: 5

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Question : Let $x$ be the least number which when subtracted from 10424 gives a perfect square number. What is the least number by which $x$ should be multiplied to get a perfect square?
Option 1: 3
Option 2: 2
Option 3: 6
Option 4: 5