CAT 2003 Slot 1 — DILR Question 40
Answer the following question based on the information given below.
Some children were taking free throws at the basketball court in school during lunch break. Below are some facts about how many baskets these children shot.
i. Ganesh shot 8 baskets less than Ashish.
ii. Dhanraj and Ramesh together shot 37 baskets.
iii. Jugraj shot 8 baskets more than Dhanraj.
iv. Ashish shot 5 baskets more than Dhanraj.
v. Ashish and Ganesh together shot 40 baskets.
Which of the following statements is true?
Answer & solution
Ramesh shot 18 baskets and Dhanraj shot 19 baskets.
- B
Ganesh shot 24 baskets and Ashish shot 16 baskets.
- C
Jugraj shot 19 baskets and Dhanraj shot 27 baskets.
- D
Dhanraj shot 11 baskets and Ashish shot 16 baskets.
From the given information following equations can be formed:
Ashish – Ganesh = 8 …(i)
Dhanraj + Ramesh = 37 …(ii)
Jugraj – Dhanraj = 8 …(iii)
Ashish – Dhanraj = 5 …(iv)
Ashish + Ganesh = 40 …(v)
Adding equations (i) and (v), we get,
2 × Ashish = 48
∴ Ashish = 24
∴ Ganesh = 16
∴ Dhanraj = 19, Jugraj = 27 and Ramesh = 18
Dhanraj shot 19 baskets and Ramesh shot 18 baskets.
∴ Option 1 is true.
Hence, option (a).