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15 Jan 2018, 08:32
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C
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91% (00:59) correct
9%
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Which of the following could be the sum of three consecutive integers?
(A) 29
(B) 46
(C) 57
(D) 92
(E) 100
(A) 29
(B) 46
(C) 57
(D) 92
(E) 100
15 Jan 2018, 08:39
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Bunuel
Let the three consecutive integers be x-1, x, x+1
the sum of three consecutive integers = x-1+x+x+1=3n
Here ans should be multiple of 3
Hence C
15 Jan 2018, 08:41
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Bunuel
As we can easily create an expression, we'll jsut do it.
This is a Precise approach.
Writing our 3 integers as n, n+1 and n+2, their sum is 3n+3.
So our answer must be divisible by 3.
To test if our numbers are divisble by 3, we'll see if their digits sum to 3.
A. 2 + 9 = 11. Not divisible by 3.
B. 4 + 6 = 10. Not divisible by 3.
C. 5 + 7 = 12. Divisible by 3!
(C) is our answer.
