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11 May 2018, 11:27
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D
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Difficulty:
65%
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Question Stats:
60% (02:08) correct
40%
(02:36)
wrong
based on 183
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Out of the total boys and girls in a class, 45% are boys and 25% are girls who don't like tea. What percent of boys in this class like tea?
(1) 50% of those who like tea are girls.
(2) Ratio of boys who don't like tea to girls who don't like tea is 3:5.
(1) 50% of those who like tea are girls.
(2) Ratio of boys who don't like tea to girls who don't like tea is 3:5.
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:
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11 May 2018, 13:22
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amanvermagmat
Questions involving overlapping sets can usually be solved visually, with an axis.
This is an Alternative approach.
Drawing our axis (see below), we can easily SEE the separation between our 4 sets - boys who like tea, boys who don't like tea, girls who like tea and girls who don't like tea. Moreover, we can SEE that boys = 45% means girls = 55% and that girls who don't like tea = 25% means that girls who like tea = 55% - 25% = 30%.
(1) This means that an equal number of boys and girls drink tea. From what we wrote above that means that 30% of students are boys who drink tea so our percent is 30/45.
Sufficient.
(2) Since 25% of girls don't like tea, 15% of boys don't like tea and 45% - 15% = 30% of boys do like tea.
Sufficient.
(D) is our answerr
Attachments
axis.png [ 14.34 KiB | Viewed 3505 times ]
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12 May 2018, 20:42
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amanvermagmat
This is another method:- In the attachment refer to 1st table. I have used the given value and calculated whatever we can.
From Statement 1 :- Boys who like tea and Girls who like tea are equal. It implies both are 30%. Refer table 2.
From Statement 2 : - Boys who do not like tea (Bnt) and Girls who do not like tea (Gnt) is in the ratio of 3:5. Refer table 3.
Bnt/ Gnt = 3/5 ==> Bnt/25 = 3/5 ==> Bnt = 15.
Boys who don't like tea = 15%.
Total Boys % = 45
Hence Boys who like tea can be found = 45-15=30%.
Hope it helps.
Attachments
DS Problem in Sets.xlsx [13.43 KiB]
Downloaded 177 times
