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31 Mar 2020, 02:15
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C
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Difficulty:
25%
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Question Stats:
71% (00:43) correct
29%
(01:03)
wrong
based on 55
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Is \(x^3 − 1 = 0\) ?
(1) \(x^2 = 1\)
(2) \(x^2 = x\)
31 Mar 2020, 02:32
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Is \(x^3 − 1 = 0\)?
(1) \(x^2 = 1\)
\(x^2 - 1 = 0\)
x = 1 YES
or
x = - 1 NO
INSUFFICIENT
(2) \(x^2 = x\)
\(x^2 - x = 0\)
\(x(x - 1) = 0\)
x = 0 NO
OR
x = 1 YES
INSUFFICIENT
Together 1 and 2
x = 1 YES
SUFFICIENT.
Answer C.
(1) \(x^2 = 1\)
\(x^2 - 1 = 0\)
x = 1 YES
or
x = - 1 NO
INSUFFICIENT
(2) \(x^2 = x\)
\(x^2 - x = 0\)
\(x(x - 1) = 0\)
x = 0 NO
OR
x = 1 YES
INSUFFICIENT
Together 1 and 2
x = 1 YES
SUFFICIENT.
Answer C.
31 Mar 2020, 02:40
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Is x^3 - 1 = 0?
Statement 1: x^2=1
This means x=1 or x=-1
Insufficient because when x=1 x^3 - 1 = 0 but when x=-1, x^3 - 1 = -2
Statement 2: x^2=x
This mean x=0 or x=1
Insufficient. When x=0, x^3 - 1 = -1, but when x=1, x^3 - 1 = 0.
1+2
Sufficient since we know that x=1 is common to both statements, hence x=1 and x^3 - 1 =0
The answer is C.
Statement 1: x^2=1
This means x=1 or x=-1
Insufficient because when x=1 x^3 - 1 = 0 but when x=-1, x^3 - 1 = -2
Statement 2: x^2=x
This mean x=0 or x=1
Insufficient. When x=0, x^3 - 1 = -1, but when x=1, x^3 - 1 = 0.
1+2
Sufficient since we know that x=1 is common to both statements, hence x=1 and x^3 - 1 =0
The answer is C.
