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Question

Let 3600=xy, where x and y are natural numbers, then the possible pairs (x,y) is

A
21
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B
23
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C
45
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D
46
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Solution

The correct option is C 45
3600=243252
Since, we can see that 3600 is a perfect square, the number of ways in which 3600 can be resolved as product of two numbers =12[(4+1)(2+1)(2+1)+1]=23
But here, (x,y) can interchange their places.
total possible pairs (x,y) is 23×21=45
given number is a perfect square, (60,60) cannot be interchanged

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