#  CAT 1997 Question Paper 

The following table gives the number of rooms in different hotels in Mumbai and the cost of building each one of them. Note that all the projects started in 1997

  


Question 1   


Which of the following had the least cost per room?

A

Lokhandwala Group

B

Raheja Group

C

IHCL

D

ITC

Solution   


The cost per room equals (total cost)/(total rooms)  
To calculate the least cost per room, we have to only check IHCL and Lokhandwala Group. A simple inspection will remove all other companies as they have more cost and lesser rooms than either of the two.  


Cost per room of IHCL = 275/600 = 45.83 lakhs  
Cost per room of Lokhandwala = 225/536 = 41.97 lakhs.  


Hence, the cost per room is least for Lokhandwala Group. 

Question 2   


Which of the following has the maximum number of rooms per crore of rupees?

A

IHCL

B

Raheja Group

C

Lokhandwala Group

D

ITC

Solution   


For the above answer, the ratio of number of rooms to the cost should be maximum. It is maximum for lokhandwala group which is 536/225 = 2.38

Question 3   


Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum. What is the cost incurred for projects completed in 1998?

A

Rs. 475 crore

B

Rs. 500 crore

C

Rs. 522.5 crore

D

Rs. 502.5 crore

Solution   


Total cost in 1997 = 250 + 225 = 475 Crores.

These projects were completed in 1998 => Interest for 1 year must be added to the cost.

Interest = $$\frac{475*1*10}{100}$$ = 47.5 Crores

Total Amount = 475 + 47.5 = 522.5 Crores.

Question 4   


Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum. What is the cost incurred for projects completed in 1999?

A

Rs. 1,282.6 crore

B

Rs. 1,270 crore

C

Rs. 1,805.1 crore

D

Rs. 1,535 crore

Solution   


Total cost of projects that were completed in 1999 is 275 + 235 + 250 + 300 = Rs 1060 Crores.

Interest for 2 years must also be added to this cost => $$1060(1+(0.1))^2$$ = 1060 * 1.21 = Rs 1282.6 Crores

Question 5   


What is the approximate cost incurred for projects completed by 2000? (in crores)

A

1,785

B

2,140

C

2,320

D

None of these

Solution   


All the projects are completed by 2000. Hence, we need to add the costs of all the projects.

On adding all the costs we get Rs 1785 Crores.

Instructions   


The graph given below shows the quantity of milk and food grains consumed annually along with female and male population (in millions). Use the data to answer the questions that follow.

  


Question 6   


When was the percapita consumption of milk the least?

A

1990

B

1992

C

1994

D

1996

Solution   


The population is increasing steadily, but the milk consumed decreased significantly in 1996.  
Hence, the only two years we need to check for the least per capita milk consumption are the first year (1990) and 1996.  


Milk consumed in 1990 is 5 million gallons.  
Total population in 1990 is 34+35 = 69 million.  
Hence, per capita consumption of milk in 1990 is 0.072 gallon per person.  


Milk consumed in 1996 is 6 million gallons.  
Total population in 1996 is 40+42 = 82 million.  
  


Hence, per capita consumption of milk in 1996 is 0.073 gallon per person.  


Hence, the year with the least per capita consumption of milk is 1990.

Question 7   


When was the per capita production of foodgrains most?

A

1992

B

1993

C

1994

D

1995

Solution   


In this question the total population does not change much in the whole span. So the per capita food grain production will be maximum when the total foodgrain production is maximum. It happens in 1995.

Question 8   


In which year was the difference between the percentage increase in the production of food grains and milk maximum?

A

1993

B

1994

C

1995

D

1996

Solution   


The difference is maximum when one quantity is maximum and other quantity is minimum. The percentage increase in production of food grains is maximum in 1995 and the percentage production increase in production of milk is negative for 1995. 

Question 9   


If milk contains 320 calories and foodgrains contain 160 calories, in which year was the per capita consumption of calories highest?

A

1993

B

1994

C

1995

D

1996

Solution   


The consumption of milk is comparatively lesser than that of food grains and also the consumption of milk does not change by much during the given period.

Hence, the change in food grains is the key to estimate the calorie count.

We can see the spike in consumption of food grains in 1995. Hence, percapita consumption is highest in 1995.

Question 10   


If one gallon milk contains 120 g of a particular nutrient and one tonne of foodgrains contains 80 g of the same nutrient, in which year was the availability of this nutrient maximum?

A

1993

B

1994

C

1995

D

1996

Solution   


The maximum availability of the nutrient will be either in 1994 or 1995. because the cumulative production of milk and food grains is maximum in these years.

Availability in 1994 = (120*8) + (25*80) = 2960

Availability in 1995 = (6*120) + (31*80) = 3200

Hence the availability is maximum in 1995.