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If a, b, and c are consecutive integers such that a < b [#permalink]

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24 Apr 2010, 07:19

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A

B

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E

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40% (01:32) correct
60% (00:48) wrong based on 34 sessions

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If a, b, and c are consecutive integers such that a < b < c, then which of the following must be true? I. c – a = 2 II. b = a + 1 = c – 1 III. abc is an even integer

A I only B II only C III only D I and III only E I, II, and III

If a, b, and c are consecutive integers such that a < b < c, then which of the following must be true? I. c – a = 2 -> a, b, c are consecutive integers and c > a. So in any case this is true. II. b = a + 1 = c – 1 -> same as above. a, b, c are consecutive Integers and b is between a and c. III. abc is an even integer -> 0 is an even integer. Also, multiplication of odd and even is even. So in any case this would be true.

A I only B II only C III only D I and III only E I, II, and III

Please explain with reasons?

IMO E. Please feel free to correct if my explainations are wrong.

If a, b, and c are consecutive integers such that a < b < c, then which of the following must be true? I. c – a = 2 II. b = a + 1 = c – 1 III. abc is an even integer

A I only B II only C III only D I and III only E I, II, and III Please explain with reasons?

given b= a+1 & c = a+2 & c=b+1 I is true II is true III: atleast one of a,b,c is even and odd * even is always even hence it is also true. so its E. Whats the OA

Re: If a, b, and c are consecutive integers such that a < b [#permalink]

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28 May 2016, 07:40

hardnstrong wrote:

If a, b, and c are consecutive integers such that a < b < c, then which of the following must be true? I. c – a = 2 II. b = a + 1 = c – 1 III. abc is an even integer

A I only B II only C III only D I and III only E I, II, and III

Please explain with reasons?

Any 3 consecutive integers are of the form n, n+1, n+2. (n+2)-n will always be (2) so statement I is always right. This facts means B and C are out of contention.

Similarly, b= n+1 and a=n then b=a+1; also b=c-1. This statement is always valid. So A is out of contention. Also D is out of contention.

By elimination E remains.

(By the way III statement is always right. Whenever 3 consecutive integers are there there will be at least one even integer. So the product will always be even.)

gmatclubot

Re: If a, b, and c are consecutive integers such that a < b
[#permalink]
28 May 2016, 07:40

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