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12 Jun 2020, 06:40
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If a, b, c, d, and e are integers and cde = 0, is d = 0 ?
(1) abc = 30
(2) ace = 0
(1) abc = 30
(2) ace = 0
12 Jun 2020, 06:47
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If a, b, c, d, and e are integers and cde = 0, is d = 0 ?
(1) abc = 30
(2) ace = 0
(1) abc = 30
(2) ace = 0
cde = 0 i.e AT-LEAST one of c, d, ande is ZERO
Question: Is d = ?
STatement 1: abc = 30
i.e. none of a, b and c are zero
but d may be zero or e may be zero hence
NOT SUFFICIENT
Statement 2: ace = 0
i.e. atleast one of a, e and c is zero
but d and e both may be zero or e may be zero hence
NOT SUFFICIENT
Combining the statements
abc = 30 i.e. a, b and c are non-zero
ace = 0 i.e. atleast one of a, c and e is zero
but since we know from statement 1 that a nd c are non zero therefore
e = 0
now, cde = 0
i.e. e = o but d may be non zero
Also, e = 0 but d as well may be zero hence
NOT SUFFICIENT
Answer: Option E
12 Jun 2020, 06:49
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If: cde = 0
=> at least one of them is 0.
St. 1:
abc = 30
=> none of them is 0
=> for cde to be 0,
d =0, or e=0, or both d and e are 0
=> St. 1 is insufficient.
St.2:
ace = 0
=> atleast one of them is 0.
If a = 0, and c, d non zero
=> d = 0
But, if, any one of c , e is 0
=> d may or may not be 0
=> St. 2 is insufficient
Considering st 1 and st 2
From 1
=> a is not 0
And, c is not 0
=> e is 0 ( since ace = 0)
=> cde = 0
But d may or may not be 0
=> Both together are insufficient.
=> Answer: E
Posted from my mobile device
=> at least one of them is 0.
St. 1:
abc = 30
=> none of them is 0
=> for cde to be 0,
d =0, or e=0, or both d and e are 0
=> St. 1 is insufficient.
St.2:
ace = 0
=> atleast one of them is 0.
If a = 0, and c, d non zero
=> d = 0
But, if, any one of c , e is 0
=> d may or may not be 0
=> St. 2 is insufficient
Considering st 1 and st 2
From 1
=> a is not 0
And, c is not 0
=> e is 0 ( since ace = 0)
=> cde = 0
But d may or may not be 0
=> Both together are insufficient.
=> Answer: E
Posted from my mobile device
