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# What is the value of the product DE ? (1) ABCD > 0 (2) BCDE = 0

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
What is the value of the product DE ? (1) ABCD > 0 (2) BCDE = 0  [#permalink]

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20 Dec 2018, 00:23
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:48) correct 26% (00:51) wrong based on 55 sessions

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What is the value of the product DE ?

(1) ABCD > 0
(2) BCDE = 0

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Joined: 24 Nov 2018
Posts: 107
Location: India
GPA: 3.27
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Re: What is the value of the product DE ? (1) ABCD > 0 (2) BCDE = 0  [#permalink]

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20 Dec 2018, 05:05
1
Bunuel wrote:
What is the value of the product DE ?

(1) ABCD > 0
(2) BCDE = 0

Statement 1, ABCD>0, Either two of A,b,c,d is -ve and two are positive or all are -ve or all are +ve. But none of them is zero. Insufficient.

Statement 2, One or more of BCDE is zero. Insufficient.

(1)+(2), Any of the B, C, D is either -ve or +ve. Therefore, E is zero. Therefore, DE=0. Sufficient.

Therefore, IMO, Option C.
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Re: What is the value of the product DE ? (1) ABCD > 0 (2) BCDE = 0  [#permalink]

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20 Dec 2018, 07:18
1) There is no info on E, therefore NOT SUFFICIENT

2) BCDE = 0 --> B,C,D or E can be 0 NOT SUFFICIENT

1&2) ABCD > 0 and BCDE = 0. Therefore it must be that E = 0 --> D x E = 0.

Re: What is the value of the product DE ? (1) ABCD > 0 (2) BCDE = 0   [#permalink] 20 Dec 2018, 07:18
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