[Download PDF] CAT 1997 Question Paper Paper with Solutions

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 21

In the given 2 years, what is the total tariff paid by the urban sector?

Video Solution

Solution

As we do not know the population of the urban sector and its usage of current, we cannot determine the total cost.

Question 22

Which of the following statements is true?

Video Solution

Solution

Average tariff in region 4 = $$\frac{415 + 423 + 441+ 451}{4}$$ = $$\frac{1730}{4}$$ = 432.5 p/kWh => A is wrong.

In all the four sectors, tariff in region 2 is higher than tariff in region 5.

=> Average tariff in region 2 is higher than average tariff in region 5 => Option B is correct.

Instructions

The table given below gives the annual details of loans from rural banks and agricultural loans over the years 1970 to 1983. Using this data answer the questions that follow.

Question 23

In 1974, the amount of agricultural loans formed what percentage of the total loans?

Video Solution

Solution

Total loan from rural in 1974 = $$260 \times 98 \times 243$$ = 6 million (nearly)

Loan for agriculture in 1974 = 34.5 million

Total = 34.5 + 6 = 40.5

%Agriculture loan = $$\frac{34.5}{40.5} \times 100$$ = 85% (Nearly)

Question 24

From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?

Video Solution

Solution

Number of loans in 1970 = 90*28 = 2520

Number of loans in 1971 = 115*39 = 4485

Number of loans in 1972 = 130*52 = 6760

Number of loans in 1974 = 260*98 = 25480

Number of loans in 1975 = 318*121 = 38478

Number of loans in 1980 = 605*288 = 174240

Sum of these loans = 251963

Number of loans in 1983 = 840*380 = 319200

Ratio = $$\frac{251963}{319200}$$ = 80% approximately.

Question 25

Which of the following pairs of years showed the maximum increase in the number of rural bank loans?

Video Solution

Solution

Number of loans in 1970 = 90 * 28 = 2520

Number of loans in 1971 = 115*39 = 4485

Number of loans in 1972 = 130 * 52 = 6760

Number of loans in 1974 = 260 * 98 = 25480

Number of loans in 1975 = 318 * 121 = 38478

Number of loans in 1980 = 605 * 288 = 174240

Number of loans in 1981 = 665 * 312 = 207480

So, the maximum increase in number of loans is in 1980 - 81

Question 26

What is the value(in millions) of the agricultural loans in 1983 at 1970 prices?

Video Solution

Solution

To change the prices from one year to another year, we have to use the Consumer Price Index.

Value in 1983 = 915.7 millions

CPI in 1983 = 149

CPI in 1970 = 43

Required value in 1970 = $$\frac{43}{149}*915.7$$ = Rs 264 million

Question 27

In which year was the number of rural bank loans per rural bank least?

Video Solution

Solution

The second column in the rural bank loans gives us the average number of loans, which is same as the number of rural bank loans per rural bank.

This field is least in 1970.

Hence, 1970 is the answer.

Question 28

What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?

Video Solution

Solution

Change = 211.6 - 18.3 = 193.3

% increase = $$\frac{193.3}{18.3}*100$$ = 1056%

This is distributed over 13 years => Average yearly increment = $$\frac{1056}{13}$$ = 81%

Question 29

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, by roughly how many points do the indices for 1983 and 1975 differ?

Video Solution

Solution

Difference between CPI of 1983 and 1975 = 149 - 78 = 71

If CPI of 1970, which is 43, is changed to 105, then the value of 71 changes to $$\frac{105}{43}*71$$ = 174

Question 30

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, what is the approximate value of the agricultural loans in 1980 at 1983 prices?

Video Solution

Solution

Since the consumer price indices for all years change, the ratios will remain the same as before.

Value of the agricultural loans in 1980 at 1983 prices = 498.4 * 149 / 131 = 570 approx.

CAT Content

CAT 1997 Question Paper

In the given 2 years, what is the total tariff paid by the urban sector?

Which of the following statements is true?

In 1974, the amount of agricultural loans formed what percentage of the total loans?

From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?

Which of the following pairs of years showed the maximum increase in the number of rural bank loans?

What is the value(in millions) of the agricultural loans in 1983 at 1970 prices?

In which year was the number of rural bank loans per rural bank least?

What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, by roughly how many points do the indices for 1983 and 1975 differ?

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, what is the approximate value of the agricultural loans in 1980 at 1983 prices?

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Content

CAT 1997 Question Paper

In the given 2 years, what is the total tariff paid by the urban sector?

Which of the following statements is true?

In 1974, the amount of agricultural loans formed what percentage of the total loans?

From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?

Which of the following pairs of years showed the maximum increase in the number of rural bank loans?

What is the value(in millions) of the agricultural loans in 1983 at 1970 prices?

In which year was the number of rural bank loans per rural bank least?

What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, by roughly how many points do the indices for 1983 and 1975 differ?

If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, what is the approximate value of the agricultural loans in 1980 at 1983 prices?

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT