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27 Jun 2018, 22:08
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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:
62% (01:40) correct
38%
(01:33)
wrong
based on 224
sessions
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Which school out of school A and school B has greater number of boys?
(1) Ratio of boys to girls in school A is less than ratio of boys to girls in school B.
(2) Girls in school A are more than girls in school B.
(1) Ratio of boys to girls in school A is less than ratio of boys to girls in school B.
(2) Girls in school A are more than girls in school B.
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
Updated on: 28 Jun 2018, 01:24
Originally posted by ankitsaroha on 27 Jun 2018, 22:42.
Last edited by ankitsaroha on 28 Jun 2018, 01:24, edited 3 times in total.
Last edited by ankitsaroha on 28 Jun 2018, 01:24, edited 3 times in total.
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amanvermagmat
Answer is E.
Let boys in school A be b1 and girls in school A be g1.
Let boys in school B be b2 and girls in school B be g2.
We need to prove either b1>b2 or b1<b2.
Statement1
Let b1=4, g1=12, b2=2, g2=3
b1/g1 = 1/3
b2/g2 = 2/3
b1/g1 < b2/g2
We have b1 > b2
Now let's take b1=4, g1=12, b2=8, g2=12
b1/g1 = 1/3
b2/g2 = 2/3
b1/g1 < b2/g2
But, we have b1 < b2 this time.
So, statement 1 is insufficient.
Statement2
We know nothing about the number of boys. So, insufficient.
Statement1 & Statement2
We are given that b1/g1 < b2/g2 and g1>g2
b1/g1 < b2/g2
Let's multiply both sides by g1 (a positive integer)
b1 < b2 *g1/g2
And since g1>g2, we get g1/g2 > 1
Therefore,
b1 < b2*(something greater than 1)
Even now we cannot say which one is greater, b1 or b2.
Insufficient.
Edit: I misread Statement1, so updated.
28 Jun 2018, 01:03
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The answer should be 'E' in my opinion
Statement 1 is insufficient as we don't know the exact number of students in each case
Statement 2 is insufficient as it doesn't mention any info about the number of boys.
Combining statement 1 and 2
b1/g1<b2/g2 and g1>g2
multiplying g1 on both sides,
b1<b2*g1/g2
here, g1/g2>1 (as g1>g2)
either b1<b2 or b1>b2 (as b2*1.something can be grater than b1 which will still hold the case to be true)
hence insufficient
Statement 1 is insufficient as we don't know the exact number of students in each case
Statement 2 is insufficient as it doesn't mention any info about the number of boys.
Combining statement 1 and 2
b1/g1<b2/g2 and g1>g2
multiplying g1 on both sides,
b1<b2*g1/g2
here, g1/g2>1 (as g1>g2)
either b1<b2 or b1>b2 (as b2*1.something can be grater than b1 which will still hold the case to be true)
hence insufficient
