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Bunuel
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What is the value of x ? (1) (|x| - 1)(x - 2) = 0 (2) -1 ≤ x ≤ 1 07 Nov 2017, 23:50
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E
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15% (low)

Question Stats:

77% (01:02) correct 23% (01:07) wrong based on 254 sessions

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What is the value of x ?

(1) (|x| - 1)(x - 2) = 0

(2) -1 ≤ x ≤ 1
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E
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Abhishiek
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What is the value of x ? (1) (|x| - 1)(x - 2) = 0 (2) -1 ≤ x ≤ 1 07 Nov 2017, 23:53
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1. x = -1, 1, 2
Not Sufficient.

2. x = -1, 1
Not Sufficient.

Both, x = -1, 1
Not Sufficient.

E.
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What is the value of x ? (1) (|x| - 1)(x - 2) = 0 (2) -1 ≤ x ≤ 1 21 Nov 2017, 05:32
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Abhishiek
1. x = -1, 1, 2
Not Sufficient.

2. x = -1, 1
Not Sufficient.

Both, x = -1, 1
Not Sufficient.

E.

--------------------------

statement 2 can take values from -1,1 or any values between 1 & -1 since it isn't mentioned if x is an integer.
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What is the value of x ? (1) (|x| - 1)(x - 2) = 0 (2) -1 ≤ x ≤ 1 21 Nov 2017, 05:59
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Bunuel
What is the value of x ?

(1) (|x| - 1)(x - 2) = 0

(2) -1 ≤ x ≤ 1

S1) x = -1,1,2
Insufficient

S2) -1 ≤ x ≤ 1
x can be any value between -1 & 1.
Insufficient.

S1+S2)
x = -1,1
Insufficient.

E is the answer.
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What is the value of x ? (1) (|x| - 1)(x - 2) = 0 (2) -1 ≤ x ≤ 1 21 Nov 2017, 23:34
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Both together x should be 1 only because the statement 1 is satisfied with it and not with 0 or -1. So why not "C"?
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What is the value of x ? (1) (|x| - 1)(x - 2) = 0 (2) -1 ≤ x ≤ 1 21 Nov 2017, 23:38
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Praharsha9
Both together x should be 1 only because the statement 1 is satisfied with it and not with 0 or -1. So why not "C"?

What is the value of x ?

(1) (|x| - 1)(x - 2) = 0;

(|x| - 1) = 0 or (x - 2) = 0;

If (|x| - 1) = 0, then |x| = 1, so x = -1 or x = 1.
If (x - 2) = 0, then x = 2.

So, from this statement x could be -1, 1, or 2. Not sufficient.

(2) -1 ≤ x ≤ 1. Not sufficient.

(1)+(2) Two values of x satisfy both statements: x = -1 and x = 1. Not sufficient.

Answer: E.

Hope it's clear.
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What is the value of x ? (1) (|x| - 1)(x - 2) = 0 (2) -1 ≤ x ≤ 1 20 Apr 2022, 10:19
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