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Is A*B*C an odd integer? (1) A*B is an even integer (2) B*C is an even

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Is A*B*C an odd integer? (1) A*B is an even integer (2) B*C is an even  [#permalink]

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New post 25 Nov 2019, 02:23
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

37% (01:42) correct 63% (01:03) wrong based on 38 sessions

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Is A*B*C an odd integer? (1) A*B is an even integer (2) B*C is an even  [#permalink]

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New post 25 Nov 2019, 02:27
1
Bunuel wrote:
Is A*B*C an odd integer?

(1) A*B is an even integer
(2) B*C is an even integer

Are You Up For the Challenge: 700 Level Questions


#1
A*B is an even integer
A= 4 and B = 1/2 ; C is not know
insufficient
#2
B*C is an even integer
so B = 6 and C = 1/3 ; A not know
insufficient
from 1 &2
we cannot conclusively say which of A,B and C is fraction of integer
IMO E
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Re: Is A*B*C an odd integer? (1) A*B is an even integer (2) B*C is an even  [#permalink]

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New post 25 Nov 2019, 02:29
Archit3110 wrote:
Bunuel wrote:
Is A*B*C an odd integer?

(1) A*B is an even integer
(2) B*C is an even integer

Are You Up For the Challenge: 700 Level Questions


#1
A*B is an even integer
so A*B*C not an odd integer
sufficient
#2
B*C is an even integer
so A*B*C not an odd integer
sufficient
IMO D


Aren't you missing something? Aren't you making an assumption which is not supported? After all, this is an 700-level question.
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Re: Is A*B*C an odd integer? (1) A*B is an even integer (2) B*C is an even  [#permalink]

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New post 25 Nov 2019, 03:39
E --- Never given that A b and C are integers.

try A = 4 B = 1/2 and C= 8 , so yes ,,, the product is even
try A = 1/2 B = 4 and C=1/2 , so No,,,, the product is 1 , which is oDD



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Re: Is A*B*C an odd integer? (1) A*B is an even integer (2) B*C is an even  [#permalink]

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New post 08 Jan 2020, 01:50
St 1 A*B= Even but C is not given it can be an integer or rational or irrational or decimal So Not sufficient

St 2 B*C= Even but A is not known it can be an integer or rational or irrational or decimal So Not sufficient

St1 + St2= Same Logic

So E is answer
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Re: Is A*B*C an odd integer? (1) A*B is an even integer (2) B*C is an even   [#permalink] 08 Jan 2020, 01:50
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