Free Practice Question
PS · Problem Solving
sub-505
Arithmetic
Given that x, y, and z are nonzero numbers and x + y = z, which of the following expressions equals 1?
Answer Choices
Correct answer marked belowA
(x - y)/z
B
(x - z)/y
C
(y - z)/x
D
(y - x)/z
(z - y)/x
Correct
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Explanation
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Official Explanation
Official
We are given that x, y, and z are nonzero numbers and that x + y = z. We need to determine which of the given expressions equals 1.
Let's analyze each option:
a) (x - y)/z
Substitute z = x + y:
(x - y)/(x + y)
This expression does not simplify to 1.
b) (x - z)/y
Substitute z = x + y:
(x - (x + y))/y = (-y)/y = -1
This expression equals -1, not 1.
c) (y - z)/x…
Let's analyze each option:
a) (x - y)/z
Substitute z = x + y:
(x - y)/(x + y)
This expression does not simplify to 1.
b) (x - z)/y
Substitute z = x + y:
(x - (x + y))/y = (-y)/y = -1
This expression equals -1, not 1.
c) (y - z)/x…
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Comments
4
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M
MikeMay 1, 2025
Thanks for sharing!
O
OlgaApr 18, 2025
good question
J
JEANApr 1, 2025
Great question!
S
SwapnilDec 16, 2024
appreciated!
What this question tests
What it tests
Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.
Common trap
Applying the order of operations out of sequence or rounding intermediate values before the final step.
Details
Difficulty
sub-505
Type
PS
Category