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Which of the following could be the sum of three consecutive integers?

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Which of the following could be the sum of three consecutive integers?  [#permalink]

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New post 15 Jan 2018, 08:32
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (00:46) correct 17% (00:48) wrong based on 47 sessions

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Concentration: Operations, Finance
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Re: Which of the following could be the sum of three consecutive integers?  [#permalink]

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New post 15 Jan 2018, 08:39
Bunuel wrote:
Which of the following could be the sum of three consecutive integers?

(A) 29
(B) 46
(C) 57
(D) 92
(E) 100


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
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Re: Which of the following could be the sum of three consecutive integers?  [#permalink]

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New post 15 Jan 2018, 08:41
Bunuel wrote:
Which of the following could be the sum of three consecutive integers?

(A) 29
(B) 46
(C) 57
(D) 92
(E) 100


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.
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Re: Which of the following could be the sum of three consecutive integers?  [#permalink]

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New post 15 Jan 2018, 09:22
Bunuel wrote:
Which of the following could be the sum of three consecutive integers?

(A) 29
(B) 46
(C) 57
(D) 92
(E) 100


Sum of three consecutive Integers will be

x + ( x + 1 ) + ( x + 2) = 3x + 3

Result will be Odd when x = Even &
Result will be Even when x = Odd

Check the options,

(A) If 3x + 3 = 29 ( Not Possible )
(B) If 3x +3 = 46 ( Not Possible )
(C) If 3x +3 = 57 ( Possible x = 18 )

That's our answer (C)
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Re: Which of the following could be the sum of three consecutive integers? &nbs [#permalink] 15 Jan 2018, 09:22
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