CAT 2004 — QA Question 40
Answer the following question based on the information given below.
In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in group A together carry at least 60% of the total marks.
Each question is followed by two statements, A and B. Answer each question using the following instructions
Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.
Zakib spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25%, and 13%. Who spends more on children’s education?
A. Zakib spends more on recreation than Supriyo.
B. Supriyo spends more on healthcare than Zakib.
Answer & solution
1
- B
2
- C
3
- D
4
Let Zakib’s and Supriyo’s incomes be z and s respectively.
Consider statement A:
0.2z > 0.25s
∴ z > s
Zakib and Supriyo spend 0.3z and 0.4s on children’s education.
∴ Statement A alone is not sufficient.
Consider statement B:
0.13s > 0.1z
∴ Supriyo spends more than Zakib on children’s education.
∴ Statement B alone is sufficient.
Hence, option (a).