Latest TCS Aptitude Question SOLUTION: For what value of 'n' will the remainder of 351^n and 352^n be the same when divided by 7? a) 2 b) 3 c) 6 d) 4

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For what value of 'n' will the remainder of 351^n and 352^n be the same when divided by 7?
a) 2
b) 3
c) 6
d) 4

Asked In TCS cherukupalli sushma revathi (10 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

Kalidindi Mounika  (10 years ago)

351/7=> the remainder is 1.
352/7=> the remainder is 2.

By hit and trail (1), n = 3
When 351^3/7, the remainder will be 1^3 = 1.
When 352^3/7, the remainder will be 2^3 = 8
As 8 is greater than 7, divide 8 again by 7, the new remainder is 1.
As remainders are same n=3

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Shimul Chakraborty  (10 years ago)

consider d unit place.
1^3=1 nd 2^3=8 when both of them divided by 7 reminder is 1. so d ans is 3

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devipriya  (10 years ago)

d ans might be either 6 or 3 check once who said frds who said 3

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sumakavitha g  (10 years ago)

by substituting value of n from 1,2,3 and so on and verifying it
let us take n=3
since in 351^3 1^3=1 is remainder
and in 352^3 2^3 = 8 is remainder
8 is again divisible by 7 and remainder is 1
so n=3

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Shashank Shekhar  (10 years ago)

This can easily be solved using Hit-n-Trial method.
ans: 3

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Shashi nath jha  (10 years ago)

the remainder is 1 in case of 351 so 351^n will always be 1.
and remainder in case of 352 is 2..so 2^3=8 which when divided by 7 gives remainder as 1..ANS is 3

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rupavathi  (10 years ago)

3






















http://www.flashsandy.org/topics/football

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NITESH RANJAN  (10 years ago)

when 351 divide by 7 gves rem=1 and i upon power antythng get 1 value.when divide by 7 gets rem 1.
same process in,352/7. rem=2.and after go to options and put power 3 then get 8 and divided by 7 get values 1.so both rem equal and n is 3.................

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