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If A and B are consecutive positive integers less than 100

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GMAT 1: 760 Q48 V48
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Kudos [?]: 19 [0], given: 8

If A and B are consecutive positive integers less than 100 [#permalink] New post 05 Apr 2013, 21:23
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A
B
C
D
E

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  25% (medium)

Question Stats:

78% (01:49) correct 22% (00:24) wrong based on 41 sessions
If A and B are consecutive positive integers less than 100, what is the value of B?

(1) A is the cube of an integer.
(2) B is the square of an integer.
[Reveal] Spoiler: OA
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Kudos [?]: 21 [0], given: 18

Re: If A and B are consecutive positive integers less than 100 [#permalink] New post 05 Apr 2013, 22:13
Nichols wrote:
If A and B are consecutive positive integers less than 100, what is the value of B?

1. A is the cube of an integer.
2. B is the square of an integer.



1.) Insufficient, doesn't tell us anything about B.

This statement implies cube root of A<5. 5^3=125, 4^3=64.

2.) Insufficient, this statement tells us \sqrt{B}<10.

1&2.) Sufficient. Taken together cube root of A<5 and \sqrt{B}<10 AND consecutive integers, the only values that meet the given conditions are A=2^3=8 and B=3^2=9
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Kudos [?]: 146 [0], given: 70

Re: If A and B are consecutive positive integers less than 100 [#permalink] New post 05 Apr 2013, 22:21
1. A can be 1, 8, 27, or 64. B can be 1, 7, 9, 26, 28, 63, or 65. Not Sufficient.
2. B can be 1, 4, 9, 16, 25, 36, 49, 64, or 81. Not sufficient.

Together: Only 8 and 9 are consecutive cube and square numbers. So B is 9. Sufficient.

Answer is C.
Re: If A and B are consecutive positive integers less than 100   [#permalink] 05 Apr 2013, 22:21
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If A and B are consecutive positive integers less than 100

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