CAT DILR Questions | CAT Logical Reasoning questions
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Comprehension
Directions for questions: Read the given instructions carefully and answer the questions accordingly.
Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:
1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.
2. There are a total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less than the number of students enrolled only in L.
4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
5. The maximum student enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more sport.
CAT/2018.2
Question . 112
What is the minimum number of students enrolled in both G and L but not in K?
Explanatory Answer
Method of solving this CAT DILR Question from Logical Reasoning question
From condition 3, we get the above diagram.
Condition 6 tells us p – 1 = 7. G-total = 17. G and something else = 10. G-only should be 7.
From condition 1, we get the above diagram.
From condition 6, we can get the diagram.
From condition 4, we get the above diagram.
Now we know that the total = 39.
From condition 5,
Number of students in L = 4 + 5 + 8 + 6 – x = 23- x.
Number of students in K = 4 + 5 + 9 + x = 18 + x.
We know that 23 – x > 18 + x.
5 > 2x. x < 5/2">5/2.
x could be 0, 1 or 2.
For 6 - x to be minimum, x should be maximum i.e. x should take 2.
Therefore the minimum number of students enrolled in both G and L but not in K is 4.
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