Bunuel wrote:

Is three digit integer n divisible by 12?

(1) n is divisible by 4.

(2) The hundreds digit and the units digit of n are divisible by 3.

Question : Is three digit integer n divisible by 12?Since 12 = 4*3 therefore, A number is divisible by 12 if it is divisible by 4 as well as by 3

Divisibility test of 4: The number formed by Last two digits of the number should be divisible by

Divisibility test of 3: Sum of the digits of the number should be divisible by 3 for a number to be divisible by 3Statement 1: n is divisible by 4.No information of number about it being divisible by 3 or not hence,

NOT SUFFICIENT

Statement 2: The hundreds digit and the units digit of n are divisible by 3No information of number about it being divisible by 4 or not hence,

NOT SUFFICIENT

Combining the two statementssince n is divisible by 4 therefore unit digit must be even and unit digit is also divisible by 3

hence, Unit digit could be only 6

Now since last two digits of the number is divisible by 4 so the last two digits of number could be

16, 36, 56, 76, 96

Since Unit and hundred's digits of number are divisible by 3 so the Ten's digit must also be divisible by 3 for a number to be divisible by 3

x16 - Not divisible by 3 because 1 is not a multiple of 3 i.e. answer to the question is NO

x36 - divisible by 3 because 3 is a multiple of 3 i.e. answer to the question is YES

NOT SUFFICIENT

answer: Option E

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