If a, b, and c are three consecutive integers and if a b c, then

Question

If a, b, and c are three consecutive integers and if  a> b > c , then  (a - b) (a - c) (b - c) =

(A) 2
(B) 1
(C) 0
(D) -1
(E) -2

GMATinsight · Accepted Answer

For consecutive number a, ba and c such that a > b > c (let, a = 3, b = 2, c = 1)

a-b = 3-2 = 1
a-c = 3-1 = 2
b-c = 2-1 = 1

i.e.  (a - b) (a - c) (b - c) =1*2*1 = 2

Answer: Option A

v12345 · Answer

Let a be x+1.Then b is x and c is x-1.
(a−b)(a−c)(b−c) = 1*2*1 = 2

Hence, OA is (A).

dimri10 · Answer

A 
B is A-1
C is A-2
A-(A-1) is 1
A- (A-2) is 2
A-1- ( A-2) is 1
So 1*2*1 is 2

Posted from my mobile device

sood1596 · Answer

Let numbers be 5,6,7

(7-6)(7-5)(6-5) = 1*2*1
=2

Answer - A

Fdambro294 · Answer

Plugging in Numbers is easiest, but if you wanted to make it more difficult:

Since: C < B < A

and they are 3 consecutive Numbers:

Let C = n

Let B = n + 1

Let A = n + 2

* (n +2 - n) * (n + 1 - n) =

* (2) * (1) =

(1) * (2) * (1) = 2

-A-

bumpbot · Answer

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If a, b, and c are three consecutive integers and if a > b > c, then

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