If x is a positive integer, find the remainder when x is divided by 6A. When x-1

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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

Options:

A . Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

B . Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient

C . Each statement alone is sufficient

D . BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

E . Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer: Option A
:
A
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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