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25 Mar 2025, 04:03
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x: 25
y: 70
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Difficulty:
95%
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Question Stats:
47% (02:13) correct
53%
(02:51)
wrong
based on 197
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According to a survey, at least 70% of students in a college study Hindi, at least 75% of students study French, and at least 80% of students study German. If x is the minimum percentage of students who study all three languages and y is the maximum percentage of students who study all three languages, then choose the appropriate values for x and y from the table given below:
Source: www.GMATinsight.com
Source: www.GMATinsight.com
| x | y | values |
| 20 | ||
| 25 | ||
| 30 | ||
| 45 | ||
| 55 | ||
| 70 |
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Official Answer
x: 25
y: 70
samarpan.g28
25 Mar 2025, 09:11
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For y i.e. maximum, we have at least 70, 75 and 80. Here, the minimum of subsets is 70 so y=70%.
For x, we can get minimum if we assume students studying both subjects as the maximum.
Let, total students=100a. H=70a, F=75a, G=80a.
100a=70a+75a+80a - 100a (assuming maximum) - x
200a-225a=-x or, x=25a i.e. 25%.
x=25, y=70.
For x, we can get minimum if we assume students studying both subjects as the maximum.
Let, total students=100a. H=70a, F=75a, G=80a.
100a=70a+75a+80a - 100a (assuming maximum) - x
200a-225a=-x or, x=25a i.e. 25%.
x=25, y=70.
04 Apr 2025, 21:57
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Let's say every student studies all three languages (100%). This would match all 3 requirements, however, 100% is larger than the upper bound y = 70. Maybe I misunderstood something here?
