Bunuel wrote:
Which of the following is a multiple of 6^2?
(A) 36,045
(B) 43,623
(C) 52,224
(D) 89,892
(E) 92,044
Kudos for correct solution.
6² = 36
So, the question is asking "Which of the following is a multiple of 36?"
First off, 36 is EVEN, which means all multiples of 36 are EVEN.
A and B are ODD numbers, so ELIMINATE A and B
Second, 36 is a multiple of 9, which means all multiples of 36 are also multiples of 9.
In other words, the
correct answer must be divisible by 9If a number is divisible by 9, the sum of its digits must be divisible by 9Check the remaining answer choices...
(C) 52,224
5+2+2+2+4 = 15
15 is NOT divisible by 9, which means 52,224 is NOT divisible by 9
ELIMINATE C
(D) 89,892
8+9+8+9+2 = 36
36 IS divisible by 9, which means 89,892 IS divisible by 9
KEEP D
(E) 92,044
9+2+0+4+4 = 19
19 is NOT divisible by 9, which means 92,044 is NOT divisible by 9
ELIMINATE E
Answer: D
Cheers,
Brent