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Quantitative Reasoning – Practice – Remainders yet again!

PSA_PRACTICE_QNR5. PSA_PRACTICE_QNR5

Ans: When 7 divides n, the remainder is 2.

When 7 divides 5*n, the remainder will be 5*2 i.e. 10. Since we are dividing by 7 we cannot get a remainder more than 7 ( the remainders possible, when 7 is the divisor, are 0,1,2,3,4,5,6). Thus, we need to divide 10 by 7 to get the actual remainder and that is 3. Option B.

Another method, would be to take some value of n such that when it is divided by 7, the remainder is 2. The smallest positive value that n can take is 9 (7+2=9). Also, 5*n= 45.

When 45 is divided by 7, the remainder is 3.

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