CAT 2018 Question Paper | CAT LR DI

CAT Questions

Most of the puzzles in the CAT exam are pretty complex, and it takes a wee bit of time to comprehend and digest, and this set is no exception. The conditions present in this CAT previous year paper question are a little intricate for even the most experienced puzzle solvers. So, practice a lot of quality questions from the CAT question bank and get yourself used to a variety of puzzles.

CAT DILR : CAT 2018 Question Paper Slot 2

Set 3 : Fun Sports Club

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.

Question 2 : If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?

1. 19
2. 18
3. 22
4. 17

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question on CAT DILR

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 < \\frac{5}{2}).
x could be 0, 1 or 2.

Number of students in L = 4 + 5 + 8 + 6 – x = 23- x.
Number of students in K = 4 + 5 + 9 + x = 18 + x.
Ratio of K : L = 19 : 22. or, x = 1.
Or, number of students in L = 22.

The question is "If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?"

Hence, the answer is 22

Choice C is the correct answer.