Problem Solving

AAPL wrote:Manhattan Prep

Each of the following numbers has a remainder of 2 when divided by 11 except:

A. 2
B. 13
C. 24
D. 57
E. 185

OA E.

A. 2 divided by 11 equals 0 with remainder 2. ELIMINATE
B. 13 divided by 11 equals 1 with remainder 2. ELIMINATE
C. 24 divided by 11 equals 2 with remainder 2. ELIMINATE
D. 57 divided by 11 equals 5 with remainder 2. ELIMINATE
By the process of elimination, the correct answer MUST be E

Let's check E for "fun"
E. 185 divided by 11 equals 16 with remainder 9.

Answer: E

Cheers,
Brent

AAPL wrote:Manhattan Prep

Each of the following numbers has a remainder of 2 when divided by 11 except:

A. 2
B. 13
C. 24
D. 57
E. 185

Since 2, 13, 24, and 57 all have a remainder of 2 when divided by 11, we see that 185 must not have a remainder of 2 when divided by 11.

Answer: E

ASIDE: This is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.

For more on this strategy, see my article: https://www.gmatprepnow.com/articles/han ... -questions

Cheers,
Brent