[Download PDF] CAT 1997 Question Paper Paper with Solutions

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 11

Referring to the previous question, in which year was the per capita consumption of this nutrient highest?

Video Solution

Solution

Ratio of nutrient in milk(1 gallon) and foodgrains(1 tonne) is 3:2

There is a huge spike in the consumption of food grains in 1995.

Total nutrients consumed in 1995 = 30*80 + 7*120 = 3240 million gms.

This is more than any other year.

=> 1995 is the answer

Instructions

The graph given below gives the yearly details of money invested in producing a certain product over the years 1991 to 1995. It also gives the profit (in ‘000 rupees).

Question 12

In which year was the increase in raw material maximum?

Video Solution

Solution

The raw materials used in 1991 was 55,000
The raw materials used in 1992 was 48,000 (decrease by 7,000)
The raw materials used in 1993 was 60,000 (increase by 12,000)
The raw materials used in 1994 was 65,000 (increase by 5,000)
The raw materials used in 1995 was 75,000 (increase by 10,000)

Hence, the increase in use of raw materials was maximum in 1993

Question 13

In which period was the decrease in profit maximum (as a percentage)?

Video Solution

Solution

The profits of the company became zero only in one year (1994)
Hence, the change in profit is maximum in the period 1993-94 and equals 100%.
Note that there was a decrease in profits in other years also, but the maximum possible change is 100% and it was occurred in 1993-94

Question 14

Which component of the cost production has remained more or less constant over the period?

Video Solution

Solution

Interest has remained constant over the given years attaining the value of 50-60 in all the year. Only in the year 1994, the value of interest is little less.

Question 15

In which year were the overheads, as a percentage of the raw material, maximum?

Video Solution

Solution

Ratio in 1992 = $$\frac{25}{50}$$ = 0.5

Ratio in 1993 = $$\frac{25}{60}$$ = 0.4167

Ratio in 1994 = $$\frac{30}{70}$$ = 0.428

Ratio in 1995 = $$\frac{30}{80}$$ = 0.375

Hence, overheads, as a percentage of raw material, is maximum in 1992.

Question 16

What percentage of the costs did the profits form over the period?

Video Solution

Solution

Total Profit = 10 + 25 + 20 + 0 + 20 = 75

Total Cost = 170 + 175 + 195 + 200 + 210 = 950

% of Profit = $$\frac{75}{950}$$ = 8%

Question 17

If the interest component is not included in the total cost calculation, which year would show the maximum profit per unit cost?

Video Solution

Solution

Ratio in 1991 = $$\frac{10}{120}$$ = 0.833

Ratio in 1992 = $$\frac{25}{125}$$ = 0.2

Ratio in 1993 = $$\frac{20}{145}$$ = 0.138

Ratio in 1995 = $$\frac{20}{160}$$ = 0.125

1992 has maximum profit per unit cost.

Instructions

The following table gives the tariff [in paise per kilo-watt-hour (kWh)] levied by the UPSEB in 1994-95, in four sectors and the regions within them. The table also gives the percentage change in the tariff as compared to 1991-92.

Question 18

If the amount of power consumed by the various regions in sector 1 is the same, then as compared to 1991-92 the net tariff in 1994-95

Video Solution

Solution

Average tariff in Sector 1 in 1994-95 = $$\frac{425 + 472 + 420 + 415 + 440}{5}$$ = 434.4 P/kWh

Average tariff in Sector 1 in 1991-92=$$\frac{\frac{425}{1.15}+\frac{472}{1.05}+\frac{420}{0.96}+\frac{415}{1.08}+\frac{440}{1.1}}{5}$$=408.4 P/kWh

Change =434.4-408.4=26 P/kWh

% Change = $$\frac{26}{408.4}\times 100$$ = 6.5%

Question 19

What was the approximate average tariff in sector 3 in 1991-92?

Video Solution

Solution

Average tariff in sector 3= (428/1.08 + 478/.96 + 432/1.06 + 441/1.1 + 439/1.08)/5 = 421.8 ~ 420

Question 20

In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?

Video Solution

Solution

In this data, all the tarrif rates are given. The table does not mention the consumption of electricity in any of the given years. Hence the consumption cannot be determined.

CAT Content

CAT 1997 Question Paper

Referring to the previous question, in which year was the per capita consumption of this nutrient highest?

In which year was the increase in raw material maximum?

In which period was the decrease in profit maximum (as a percentage)?

Which component of the cost production has remained more or less constant over the period?

In which year were the overheads, as a percentage of the raw material, maximum?

What percentage of the costs did the profits form over the period?

If the interest component is not included in the total cost calculation, which year would show the maximum profit per unit cost?

If the amount of power consumed by the various regions in sector 1 is the same, then as compared to 1991-92 the net tariff in 1994-95

What was the approximate average tariff in sector 3 in 1991-92?

In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?

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CAT Content

CAT 1997 Question Paper

Referring to the previous question, in which year was the per capita consumption of this nutrient highest?

In which year was the increase in raw material maximum?

In which period was the decrease in profit maximum (as a percentage)?

Which component of the cost production has remained more or less constant over the period?

In which year were the overheads, as a percentage of the raw material, maximum?

What percentage of the costs did the profits form over the period?

If the interest component is not included in the total cost calculation, which year would show the maximum profit per unit cost?

If the amount of power consumed by the various regions in sector 1 is the same, then as compared to 1991-92 the net tariff in 1994-95

What was the approximate average tariff in sector 3 in 1991-92?

In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?

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