by: Bunuel
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Question Stats:
89% (00:56) correct
11%
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wrong
based on 1092
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What is the ratio of x:y:z?
(1) z = 1 and xy =32
(2) x/y = 2 and z/y = 1/4
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(1) z = 1 and xy =32
(2) x/y = 2 and z/y = 1/4
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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(1) z= 1 and xy =32, We need x/y; here x and y can take any value, so not sufficient
(2) x/y = 2 => x = 2y
z/y = 1/4 => z = y/4
So x:y:z = 2y:y:y/4 = 2: 1: 1/4 sufficient
Answer : B
(2) x/y = 2 => x = 2y
z/y = 1/4 => z = y/4
So x:y:z = 2y:y:y/4 = 2: 1: 1/4 sufficient
Answer : B
We need to determine the ratio of x:y:z, which is equivalent to expressing x, y, and z in terms of a common factor and then simplifying the resulting expression.
Statement (1) gives us z = 1 and xy = 32. We can substitute z = 1 into the ratio expression to obtain x:y:1. However, we cannot determine the values of x and y from this information alone. For example, x could be 4 and y could be 8, or x could be 8 and y could be 4, among other possibilities. Therefore, statement (1) is not sufficient to answer the question.
Statement (2) gives us x/y = 2 and z/y = 1/4. We can rewrite x/y as x = 2y and z/y as z = (1/4)y. Substituting these expressions into the ratio expression gives us:
x : y : z = 2y : y : (1/4)y = 8 : 4 : 1
Therefore, the ratio of x:y:z is 8:4:1. Statement (2) alone is sufficient to answer the question.
Statement (1) gives us z = 1 and xy = 32. We can substitute z = 1 into the ratio expression to obtain x:y:1. However, we cannot determine the values of x and y from this information alone. For example, x could be 4 and y could be 8, or x could be 8 and y could be 4, among other possibilities. Therefore, statement (1) is not sufficient to answer the question.
Statement (2) gives us x/y = 2 and z/y = 1/4. We can rewrite x/y as x = 2y and z/y as z = (1/4)y. Substituting these expressions into the ratio expression gives us:
x : y : z = 2y : y : (1/4)y = 8 : 4 : 1
Therefore, the ratio of x:y:z is 8:4:1. Statement (2) alone is sufficient to answer the question.
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Joined: 30 Nov 2018
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Schools: HEC MiM '21 HEC Sept'22 Intake ISB '24 Rotman '24
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Schools: HEC MiM '21 HEC Sept'22 Intake ISB '24 Rotman '24
Posts: 138
What is the ratio of x:y:z?
(1) z = 1 and xy =32
This does not give us a relationship between x, y and z. Hence, Insufficient.
(2) x/y = 2 and z/y = 1/4
x = 2y
z = y/4
with the information gien we can find the value of x:y:z
Sufficient.
Ans. Option B
(1) z = 1 and xy =32
This does not give us a relationship between x, y and z. Hence, Insufficient.
(2) x/y = 2 and z/y = 1/4
x = 2y
z = y/4
with the information gien we can find the value of x:y:z
Sufficient.
Ans. Option B
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