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Question

If x is a positive integer, find the remainder when x is divided by 6

A. When x-1 is divided by 6, the remainder is 1

B. When 3x is divided by 6, the remainder is 0

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Solution

The correct option is **A** Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

Option (a)

Statement A alone is sufficient. When x-1 is divided by 6, the remainder is 1. therefore, when x is divided by 6; the remainder will be 2.

Statement B states that 3x is exactly divisible by 6. take 2 cases; say x=8 and in this case 3x= 24 is divisible by 6. but in another case, if x=16; then 3x= 48; which is divisible by 6; but 16 leaves a remainder of 4.

Hence B does not conclusively answer the question

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