# CAT 1996

Instructions

For the following questions answer them individually

Question 11

Question 12

Question 13

Question 14

# A wooden box  of thickness 0.5 cm, length 21 cm, width 11 cm and height 6 cm is painted on the inside. The expenses of painting are Rs. 70. What is the rate of painting per square centimetres?

Instructions

Answer the questions based on the following information. A, S, M and D are functions of x and y, and they are defined as follows.

$$A(x, y)=x + y$$

$$S(x, y)=x-y$$

$$M(x, y)=xy$$

$$D(x,y)=\frac{x}{y}$$. $$y\neq0$$

Question 15

Question 16

# What is the value of $$S[M(D(A(a, b), 2), D(A(a, b), 2)), M(D(S(a, b), 2), D(S(a, b), 2))]$$?

Instructions

For the following questions answer them individually

Question 17

Question 18

Question 19

# The figure shows a circle of diameter AB and radius 6.5 cm. If chord CA is 5 cm long, find the area of triangle ABC.

Instructions

Answer the questions based on the following information. A watch dealer incurs an expense of Rs. 150 for producing every watch. He also incurs an additional expenditure of Rs. 30,000, which is independent of the number of watches produced If he is able to sell a watch during the season, he sells it for Rs. 250. If he fails to do so, he has to sell each watch for Rs. 100.

Question 20

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