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If abc = 1, cde = 0, and ebc = 0, which of the following must be 0?

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Sajjad1994
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If abc = 1, cde = 0, and ebc = 0, which of the following must be 0? [#permalink] New post   22 Oct 2020, 03:21
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A
B
C
D
E

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5% (low)

Question Stats:

95% (00:37) correct 5% (00:18) wrong based on 42 sessions
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If abc = 1, cde = 0, and ebc = 0, which of the following must be 0?

(A) a

(B) b

(C) c

(D) d

(E) e
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Official Answer
E
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Mona2019
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If abc = 1, cde = 0, and ebc = 0, which of the following must be 0? [#permalink] New post   22 Oct 2020, 07:03
a , b , c cannot be 0 as abc=1
d or e can be 0 as cde =0

as ebc =0 and bc cannot be 0, so e =0
IMO E is the answer
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Re: If abc = 1, cde = 0, and ebc = 0, which of the following must be 0? [#permalink] New post   22 Oct 2020, 11:39
Sajjad1994 wrote:
If abc = 1, cde = 0, and ebc = 0, which of the following must be 0?

(A) a

(B) b

(C) c

(D) d

(E) e


From abc=1 we know that none of a, b, and c is equal to 0. ebc=0 ---> Since b and c is not equal to 0, e must be 0. E)
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Re: If abc = 1, cde = 0, and ebc = 0, which of the following must be 0? [#permalink] New post   22 Oct 2020, 14:22
abc=1 - neither can be 0
cde =0
d or e = 0

ebc =0
b or c not equal to 0
Hence e = 0

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Re: If abc = 1, cde = 0, and ebc = 0, which of the following must be 0? [#permalink] New post   27 Oct 2020, 11:38
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Sajjad1994 wrote:
If abc = 1, cde = 0, and ebc = 0, which of the following must be 0?

(A) a

(B) b

(C) c

(D) d

(E) e

Solution:

Since abc = 1, none of a, b and c is 0. Therefore, in order for ebc = 0, we see that e must be 0.

Answer: E
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Re: If abc = 1, cde = 0, and ebc = 0, which of the following must be 0? [#permalink]
27 Oct 2020, 11:38
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