Quantitative Reasoning – Practice – What is the ‘remainder’ when …?


Ans: When 7 divides k, the remainder is 6.

When 7 divides k+2, the remainder will be 6+2 i.e. 8. 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 8 by 7 to get the actual remainder and that is 1. Option 1.

Another method, would be to take some value of k such that when it is divided by 7, the remainder is 6. The smallest positive value that we can take is 13 (7+6=13). k+2= 15.

When 15 is divided by 7, the remainder is 1.

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