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29 Feb 2016, 12:19
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (02:11) correct
30%
(01:54)
wrong
based on 106
sessions
History
Date
Time
Result
Not Attempted Yet
In honor of the year 2016, a donor has purchased 2016 books to be distributed evenly among the elementary schools in a certain school district. If each school must receive the same number of books, and there are to be no books remaining, which of the following is NOT a number of books that each school could receive?
(A) 18
(B) 36
(C) 42
(D) 54
(E) 56
(A) 18
(B) 36
(C) 42
(D) 54
(E) 56
Anigr16
Joined: 23 Jan 2015
Last visit: 11 Jan 2017
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Location: India
Concentration: Operations
Schools: Sauder '18 Schulich Jan'19 Alberta"19 SP Jain GMBA "18 XLRI GM"18 Molson '19 Schulich Sept"19
WE:Information Technology (Computer Software)
Schools: Sauder '18 Schulich Jan'19 Alberta"19 SP Jain GMBA "18 XLRI GM"18 Molson '19 Schulich Sept"19
Posts: 28
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29 Feb 2016, 12:36
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Need to divide 2016 by all the options, all of would do except 54
Option D
Option D
02 Mar 2016, 13:41
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Hi All,
This question can be solved with 'brute force' by dividing each of the answers into 2016 - once you find the answer that does NOT evenly divide in, then you'll have the solution.
It can also be solved by prime factorization. By breaking down the number 2016 into its primes, we can determine which answers ARE divisible in to 2016 and which one is not...
2016 =
(4)(504) =
(2)(2)(9)(56) =
(2)(2)(3)(3)(7)(8) =
(2)(2)(3)(3)(7)(2)(2)(2)
So we have (2^5)(3^2)(7)
Given the following answer choices:
(A) 18 = (2)(3)(3)
(B) 36 = (2)(2)(3)(3)
(C) 42 = (2)(3)(7)
(D) 54 = (2)(3)(3)(3) = NOT POSSIBLE (there are not enough 3s)
(E) 56 = (2)(2)(2)(7)
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question can be solved with 'brute force' by dividing each of the answers into 2016 - once you find the answer that does NOT evenly divide in, then you'll have the solution.
It can also be solved by prime factorization. By breaking down the number 2016 into its primes, we can determine which answers ARE divisible in to 2016 and which one is not...
2016 =
(4)(504) =
(2)(2)(9)(56) =
(2)(2)(3)(3)(7)(8) =
(2)(2)(3)(3)(7)(2)(2)(2)
So we have (2^5)(3^2)(7)
Given the following answer choices:
(A) 18 = (2)(3)(3)
(B) 36 = (2)(2)(3)(3)
(C) 42 = (2)(3)(7)
(D) 54 = (2)(3)(3)(3) = NOT POSSIBLE (there are not enough 3s)
(E) 56 = (2)(2)(2)(7)
Final Answer:
GMAT assassins aren't born, they're made,
Rich
