Question
How many numbers between 1 and 500 can be expressed as a difference of squares in atleast one way?
Answer: Option C
:
C
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C
option (c)
Numbers which cannot be expressed as difference of squares are all even non-multiples of 4. There are 250 even non-multiples of 4 from 1 to 1000 and 125 such numbers between 1 and 500 (2,6,10......). 125 cannot be expressed hence 375 can be expressed. Hence option c
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