Question
Let N=553+173−723. N is divisible by : (CAT 2000)
Answer: Option D
:
D
Ans: (d).
N=553+173−723=(54+1)3+(18−1)3−723
=(51+4)3+173−(68+4)3.
These two different forms of the expression are divisible by 3 and 17 both.
Elimination strategy:
Check the divisibility by 13, it is seen that it is not divisible, now check for 3, it is
divisible, hence the only option will be (d)
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:
D
Ans: (d).
N=553+173−723=(54+1)3+(18−1)3−723
=(51+4)3+173−(68+4)3.
These two different forms of the expression are divisible by 3 and 17 both.
Elimination strategy:
Check the divisibility by 13, it is seen that it is not divisible, now check for 3, it is
divisible, hence the only option will be (d)
Was this answer helpful ?
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