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If A, B, C are non-zero numbers, is A negative? (1) C^2 is less than

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If A, B, C are non-zero numbers, is A negative? (1) C^2 is less than  [#permalink]

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New post 26 Mar 2018, 05:21
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (01:57) correct 22% (01:53) wrong based on 47 sessions

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If A, B, C are non-zero numbers, is A negative?

(1) C^2 is less than both A^2 and B^2.

(2) A^3 is less than both B^3 and C^3.
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Re: If A, B, C are non-zero numbers, is A negative? (1) C^2 is less than  [#permalink]

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New post 29 Mar 2018, 03:41
1
(1) C^2 is less than both A^2 and B^2.
It means absolute value of C is less than absolute value of A. Not sufficient. (A,C)can be (-2,1) or (2,1).
Not sufficient.


(2) A^3 is less than both B^3 and C^3.

It means A is less than C.
(A,C) can be (1,2) or (-1,2).
Not sufficient.

Combining both statements, we get A is less than C. but absolute value of C is less than absolute value of A.

It can only be possible if A is negative .

Sufficient. Answer C.

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Re: If A, B, C are non-zero numbers, is A negative? (1) C^2 is less than &nbs [#permalink] 29 Mar 2018, 03:41
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