Question
How many 4 digit numbers can be written as difference of squares in at least one way ?___
Answer:
:
Option (d)
All numbers of the form 4k+2 cannot be expressed as difference of squares.
Thus, those 4 digit numbers which can be expressed as difference of squares in atleast one way= number of four digit numbers - 4 digit numbers of the form 4k+2
= 9000 -2250= 6750.
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:
Option (d)
All numbers of the form 4k+2 cannot be expressed as difference of squares.
Thus, those 4 digit numbers which can be expressed as difference of squares in atleast one way= number of four digit numbers - 4 digit numbers of the form 4k+2
= 9000 -2250= 6750.
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