CAT 2002 — QA Question 57
Each question is followed by two statements A and B. Answer each question using the following instructions:
Answer (1) if the question can be solved by any one of the statements, but not the other one.
Answer (2) if the question can be solved by using either of the two statements.
Answer (3) if the question can be solved by using both the statements together and not by any one of them.
Answer (4) if the question cannot be solved with the help of the given data and more data is required.
A sum of Rs. 38,500 was divided among Jagdish, Punit and Girish. Who received the minimum amount?
A. Jagdish received 2/9 of what Punit and Girish together received.
B. Punit received 3/11 of what Jagdish and Girish together received.
Answer & solution
Correct answer: 3
- A
1
- B
2
3
- D
4
Consider statement A:
Jagdish : (Punit + Girish) = 2 : 9
∴ Jagdish's share = × Total = 18.18% of the total
However, we don’t know the percentage distribution between Punit and Girish.
∴ Statement A alone is not sufficient.
Consider statement B:
Punit : (Jagdish + Girish) = 3 : 11
∴ Punit's share = × Total = 21.4% of the total
However, we do not know the percentage distribution between Jagdish and Girish.
∴ Statement B alone is not sufficient.
Consider both statements together:
Jagdish = 18.18% of the total amount
Punit = 21.4% of the total amount
Girish = 100 − 18.18 − 21.4 = 60.42% of the total amount
∴ Jagdish received the minimum amount.
Hence, option (c).