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Question

If x=(163+173+183+193), then x divided by 70 leaves a reminder of? (CAT 2005)


A
1
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B
69
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C
35
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Solution

The correct option is A 0

x=163+173+183+193

=(163+193)+(173+183)

=(16+19)(16216×19+192)+(17+18)(17217×18+182)

=35× (an odd number) + 35× (another odd number)

=35× (an even number) =35×(2k).......... (k is a positive integer)

x=70k

Therefore x is divisible by 70. Remainder when x is divided by 70 = 0.


Accountancy

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