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Question

Is the integer divisible by 3?
(1) the last digit in n is 3.
(2) n + 5 is divisible by 6

A
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
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B
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
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C
BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
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D
Statements (1) and (2) TOGETHER are NOT sufficient
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Solution

The correct option is D Statements (1) and (2) TOGETHER are NOT sufficient
1) Last digit of n is 3
n may be 3, 13,23,33,43,53,63, .........
(2) n+5⇒n+5 is divisible by 6
n may be 1,7,13,19,25,31,37,43, .........
Hence, we cannot be determined that integer is divisible by 3 even using both the statements.

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