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Question

In how many ways 1105 can be expresses as the sum of two squares of natural number ?

A
1
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B
2
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C
3
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D
4
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E
None of these
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Solution

The correct option is C 3
It is given that,
" The sum of squares of two numbers is 1105. "
The possible numbers which gives the result 1105 after adding their squares are,
32 and 9
322+92=1024+81=1105

31 and 12
312+122=961+144=1105

24 and 23
242+232=576+529=1105

There are 3 ways 1105 can be written as the sum of the squares of two natural numbers.

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