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Bunuel
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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Let three consecutive numbers are X, X+1 , and X+2.
Their sum =X+ X+1 + X+2
= 3x+3
=3 (X+1)
Therefore, sum of three consecutive numbers is multiple of 3.

Therefore,option C, 57 is the answer.

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