# CAT 1998 Question Paper

Instructions

For the following questions answer them individually

Question 41

Question 42

## $$n^3$$ is odd. Which of the following statement(s) is/are true? I. $$n$$ is odd. II.$$n^2$$ is odd. III.$$n^2$$ is even.

Instructions

Answer the questions based on the following information. Production pattern for number of units (in cubic feet) per day.

The finished goods are to be transported to the market by a truck having a capacity of 2000 cubic feet. Any finished goods (ready at the end of the day) retained overnight at the factory will incur a storage cost of Rs 5 per cubic foot for each night of storage. The hiring cost for the truck is Rs 1000 per day.

Question 43

Question 44

## If the storage cost is reduced to Re 0.80 per cubic feet per day, then on which day(s), should the truck be hired?

Instructions

For the following questions answer them individually

Question 45

Question 46

## Three circles, each of radius 20, have centres at P, Q and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of ΔPQR ?

Instructions

Answer the questions based on the following information. The following operations are defined for real numbers.

a # b=a + b, if a and b both are positive else a # b=1

a $$\triangledown$$ b=$$(a \times b)^{a+b}$$ if $$a\times\ b$$ is positive else a $$\triangledown$$b=1.

Question 47

Question 48

## $$\frac{((1\#1) \# 2) - (10^{1.3} \triangledown \log_{10}{0.1})}{1 \triangledown 2}$$

Instructions

For the following questions answer them individually

Question 49

Question 50