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

• 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.

Answer 1

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 and 8 leaves a remainder of 2.

Hence B does not conclusively answer the question