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27 Nov 2018, 07:53
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
66% (02:43) correct
34%
(02:41)
wrong
based on 29
sessions
History
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There are two classrooms A and B. The sum of the number of students in both classrooms is more than 120. Is the number of students in class B greater than 20?
(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.
(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.
(1) If number of students in classroom A are doubled and number of students in classroom B are halved, the difference between the number of students in classroom A and B is less than 200.
(2) If 20 students from each classroom leave the school, the sum of number of students in both classes would be more than 80.
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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27 Nov 2018, 11:43
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rencsee
Let number of students in class A be x and number of students in class B be y
Given => x + y > 120 ............... (I)
Required => is y > 20?
St. I => 2x - 1/2y < 200
Multiplying both sides with -1 => -2x + 1/2y > -200
Multiplying both sides by 2 => -4x + y > -400 ............. (II)
Solving (I) and (II) =>
4x + 4y > 480
-4x + y > -400
------------------
5y > 80
y > 16 => Insufficient
St. II => x - 20 + y - 20 > 80
Adding 40 on both side => x+ y > 120 => is the same as (I) => Insufficient
Taking St. I and St. II together, y > 16 which is still insufficient.
Hence, Answer is E.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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