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01 Jul 2020, 03:51
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64% (01:58) correct
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If x, y and z are non-zero numbers such that 1 >= y > x and xy = z, which of the following cannot be true?
A. y > z
B. y = z
C. z = x
D. x > z
E. z > 0
A. y > z
B. y = z
C. z = x
D. x > z
E. z > 0
01 Jul 2020, 04:01
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Going through the options:
Option B states that x = 1
This is not possible since x < y < = 1
Answer: B
All other options can also be eliminated by:
E: if x > 0, y>0
=> Z > 0
=> Reject
D. if x = -2, y = 5
=> z = -10
=> x > z
=> Reject
C. If z = x
=> y = 1
=> Reject
A. y = 5, x = -1
=> z = -5
=> y > z
=> Reject
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Option B states that x = 1
This is not possible since x < y < = 1
Answer: B
All other options can also be eliminated by:
E: if x > 0, y>0
=> Z > 0
=> Reject
D. if x = -2, y = 5
=> z = -10
=> x > z
=> Reject
C. If z = x
=> y = 1
=> Reject
A. y = 5, x = -1
=> z = -5
=> y > z
=> Reject
Posted from my mobile device
yashikaaggarwal
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01 Jul 2020, 05:28
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If x, y and z are non-zero numbers such that 1 >= y > x and xy = z, which of the following cannot be true?
Let Y =1 and x = 0.5
xy=0.5*1=0.5
A. y > z
1>0.5 (correct)
B. y = z
y can't be equal to z as when two distinct fractions are multiplied. its product it always closer to smaller fraction.
for ex- Let Y = 0.8 and x = 0.5
z=0.4
Y will always be greater than Z
(incorrect)
C. z = x
0.5=0.5 (Correct)
D. x > z
Let Y = 0.8 and x = 0.5
z=0.4
0.5>0.4 (correct)
E. z > 0
0.5>0 (Correct)
Answer is B
Let Y =1 and x = 0.5
xy=0.5*1=0.5
A. y > z
1>0.5 (correct)
B. y = z
y can't be equal to z as when two distinct fractions are multiplied. its product it always closer to smaller fraction.
for ex- Let Y = 0.8 and x = 0.5
z=0.4
Y will always be greater than Z
(incorrect)
C. z = x
0.5=0.5 (Correct)
D. x > z
Let Y = 0.8 and x = 0.5
z=0.4
0.5>0.4 (correct)
E. z > 0
0.5>0 (Correct)
Answer is B
