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05 Jul 2019, 04:37
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B
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Difficulty:
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Question Stats:
86% (00:43) correct
14%
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based on 66
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The sum of three consecutive positive integers must be divisible by which of the following?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Source: Nova GMAT
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Source: Nova GMAT
05 Jul 2019, 05:02
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SajjadAhmad
The sum of three consecutive positive integers must be divisible by which of the following?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Source: Nova GMAT
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Source: Nova GMAT
Let x = the smallest integer
So, x + 1 = the next integer
And x + 2 = the biggest integer
Sum = x + (x + 1) + (x + 2)
= 3x + 3
=3(x + 1)
Since the sum MUST be a multiple of 3, we can also say that the sum MUST be divisible by 3
Answer: B
Cheers,
Brent
05 Jul 2019, 05:05
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SajjadAhmad
The sum of three consecutive positive integers must be divisible by which of the following?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Source: Nova GMAT
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Source: Nova GMAT
Approach #2: test sets of of three consecutive positive integers
For example, the 3 numbers COULD be 2, 3 and 4
SUM = 2 + 3 + 4 = 9
Since 9 is NOT divisible by 2, 4, 5 or 6, we can ELIMINATE A, C, D and E
Answer: B
Cheers,
Brent
