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11 Jun 2022, 20:30
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Difficulty:
55%
(hard)
Question Stats:
53% (02:04) correct
47%
(02:18)
wrong
based on 38
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If 1/5 of the larger of two positive numbers is greater than 6 times the smaller of the same two numbers, is the smaller number less than 5?
(1) The larger number is greater than 120.
(2) The larger number is less than 150.
Are You Up For the Challenge: 700 Level Questions
(1) The larger number is greater than 120.
(2) The larger number is less than 150.
Are You Up For the Challenge: 700 Level Questions
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
12 Jun 2022, 00:39
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Let 'X' be the larger number, and 'Y' be the smaller number.
From the question, we know that:
X/5 > 6Y
i.e. X/30 > Y
i.e. Y<X/30
We need to answer whether Y<5?
Before exploring both the statements, from the question itself, we know that Y<X/30 and we want to know if Y<5? Now, when will Y be less than 5? Y will be less than 5 when X is less than 150 (X/30) i.e. 150/30 = 5. Hence, we can frame the question - Is X<150?
Statement 1 - The larger number, i.e. X > 120. This is insufficient.
Statement 2 - The larger number, i.e. X < 150. This statement is sufficient alone to answer the question.
Hence (B) is the correct choice.
From the question, we know that:
X/5 > 6Y
i.e. X/30 > Y
i.e. Y<X/30
We need to answer whether Y<5?
Before exploring both the statements, from the question itself, we know that Y<X/30 and we want to know if Y<5? Now, when will Y be less than 5? Y will be less than 5 when X is less than 150 (X/30) i.e. 150/30 = 5. Hence, we can frame the question - Is X<150?
Statement 1 - The larger number, i.e. X > 120. This is insufficient.
Statement 2 - The larger number, i.e. X < 150. This statement is sufficient alone to answer the question.
Hence (B) is the correct choice.
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