Latest MBA Aptitude Question SOLUTION: How many numbers below 100 can be expressed as the difference of two perfect squares in only one way?

1) 24
2) 25
3) 34
4) 35
5) 36

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(#M40014405) MBA Programming question number systems, progressions Keep an EYE

How many numbers below 100 can be expressed as the difference of two perfect squares in only one way?

1) 24
2) 25
3) 34
4) 35
5) 36

Asked In MBA (11 years ago)

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raghulks  (7 years ago)

perfect squares within 100 are 4,9,16,25,36,49,64,81.
there are 8 numbers.
each element can be subtracted only once.so,we use 4(8 times) i.e( 81-4,64-4,49-4,.......) and 9 (7 times) and 16 ( 6 times)..and so on
the no. of elements are therefore(counting times) =8+7+6+5+4+3+2 (1 cannot be used coz, we need 2 numbers to find difference)
=35 numbers

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