CAT 2018 Slot 2 — DILR Question 13
Answer the following question based on the information given below.
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:
- The number of students enrolled only in L is double the number of students enrolled in all the three sports.
- There are a total of 17 students enrolled in G.
- The number of students enrolled only in G is one less than the number of students enrolled only in L.
- The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
- The maximum student enrollment is in L.
- Ten students enrolled in G are also enrolled in at least one more sport.
What is the minimum number of students enrolled in both G and L but not in K?
Answer & solution
Answer: 4
Since 10 students who play G enrolled in at least one other sport, the number of students who enrolled only in G = 17 - 10 = 7. Therefore x = 7.
Also from statement 1, the number of students = who enrolled in
all the three sports = 4
As 17 students enrolled in G, the number of students who did not enrol in G = 39 - 17 = 22.
Therefore, x + 1 + z + y + z = 22. We know that x = 7 and y = 4. Therefore we have the following: 8 + 4 + 2z = 22 or z = 5.
From statement 5, 6-w>wor w=0 or 1 or 2.
Now first two questions can be answered.
The required answer is 6 - 2 = 4.
Answer: 4