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Ratio and Proportion. - Quant/Math - CAT 2009
CAT Sample Questions - Question 4 the day : July 14, 2004
The question for the day is from the topic Ratio and Proportion.
The marks scored by a student in three subjects are in the ratio of 4 : 5 : 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum marks in all three subjects is the same, in how many subjects did he score more than 60%?
| (1) |
1
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(2) |
2
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| (3) |
3
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(4) |
None of the subjects
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Correct choice - (1) Correct Answer -(1)
Explanatory Answer
Let the maximum in marks in each of the three subjects be 100.
Therefore, the candidate scored an aggregate of 60% of 3 * 100 = 60% of 300 marks = 180 marks.
Let the marks scored in the three subjects be 4x, 5x and 6x.
Then, 4x + 5x + 6x = 180
ð
15x = 180 or x = 12.
Therefore, marks scored by the candidate in the three subjects are 4*12, 5*12 and 6*12
= 48, 60 and 72.
Hence, the candidate has score more than 60% in one subject.
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