[Download PDF] CAT 1998 Question Paper Paper with Solutions

Instructions

The following table gives the quantities of apples (in tonnes) arriving at New Delhi market from various states in a particular year. The month in which demand was more than supply, the additional demand was met by the stock from cold storage.

Question 1

What was the maximum percentage of apples supplied by any state in any of the months?

Video Solution

Solution

This percentage is maximum in February in J&K; where the percentage is $$\frac{11183}{11285}=99.09$$%

Question 2

Which state supplied the maximum number of apples?

Video Solution

Solution

From the table it is clear that the state which supplied the most number of apples is either HP or J&K.; UP and Cold Storage supplied less than a thousand apples in total.

The total number of apples supplied by HP is 231,028
The total number of apples supplied by J&K; is 262,735

Hence, the correct answer is J&K;

Question 3

Which state supplied the highest percentage of apples from the total apples supplied?

Video Solution

Solution

The answer to this question is the same as the state which supplied the maximum number of apples.

We can rule out UP and Cold Storage as they supplied significantly less than the other two.
Among the other two states,

The total number of apples supplied by HP is 231,028
The total number of apples supplied by J&K; is 262,735

Hence, the correct answer is J&K;

Question 4

In which of the following periods was the supply greater than or equal to the demand?

Video Solution

Solution

The supply is greater than or equal to demand if the cold storage number is zero.

This is the case between the months May-September.

Hence, the correct option is option (c)

Question 5

If the yield per tree was 40 kg, then from how many trees were the apples supplied to New Delhi (in millions) during the year?

Video Solution

Solution

To calculate the number of trees required, let us calculate the total number of tonnes supplied.

The total number of tonnes supplied equals 494,525.

One tree supplies 40 kilograms.

Hence, the number of trees required is $$\frac{494525*1000}{40} \approx 12.5$$ million trees

Question 6

Using the data in the earlier question, if there were 250 trees per hectare, then how many hectares of land was used?

Video Solution

Solution

In the earlier question, we determined that we needed 12.36 million trees per year.
Each hectare has 250 trees.

So, number of hectares of land used is $$\frac{12.36*1000000}{250} \approx 49450$$

Instructions

Answer the questions based on the following information. The following bar chart gives the growth percentage in the number of households in the middle, upper-middle and high-income categories in the four regions for the period between 1987-88 and 1994-95.

(Number of households in thousands)

Question 7

Which region showed the highest percentage growth in number of households in all the income categories for the period?

Video Solution

Solution

Percentage growth of all households South region showed the maximum increase in all households in the given period. (100% + 340%+ 425% = 865%)

Question 8

What was the total household income in northern region for upper-middle class?

Video Solution

Solution

We don't know the number of households in the upper-middle income class for Northern region and hence can't calculate the total household income for the same.

Question 9

What is the percentage increase in total number of households for the northern region (upper-middle class) over the given period?

Video Solution

Solution

The answer is provided by the bar chart.
Look at the graph named North and the bar colored Orange.
This shows the percentage increase in the upper middle class households from the year 1987-88 to 1994-95 and it equals 200%

Question 10

What was the average income of the high-income group in 1987-88?

Video Solution

Solution

The answer to this question is provided in the table.
The average income of middle income category is 30,000
The average income of upper-middle income category is 50,000 and
The average income of high income category is 75,000

Hence, the correct answer is 75,000

CAT Content

CAT 1998 Question Paper

What was the maximum percentage of apples supplied by any state in any of the months?

Which state supplied the maximum number of apples?

Which state supplied the highest percentage of apples from the total apples supplied?

In which of the following periods was the supply greater than or equal to the demand?

If the yield per tree was 40 kg, then from how many trees were the apples supplied to New Delhi (in millions) during the year?

Using the data in the earlier question, if there were 250 trees per hectare, then how many hectares of land was used?

Which region showed the highest percentage growth in number of households in all the income categories for the period?

What was the total household income in northern region for upper-middle class?

What is the percentage increase in total number of households for the northern region (upper-middle class) over the given period?

What was the average income of the high-income group in 1987-88?

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CAT Content

CAT 1998 Question Paper

What was the maximum percentage of apples supplied by any state in any of the months?

Which state supplied the maximum number of apples?

Which state supplied the highest percentage of apples from the total apples supplied?

In which of the following periods was the supply greater than or equal to the demand?

If the yield per tree was 40 kg, then from how many trees were the apples supplied to New Delhi (in millions) during the year?

Using the data in the earlier question, if there were 250 trees per hectare, then how many hectares of land was used?

Which region showed the highest percentage growth in number of households in all the income categories for the period?

What was the total household income in northern region for upper-middle class?

What is the percentage increase in total number of households for the northern region (upper-middle class) over the given period?

What was the average income of the high-income group in 1987-88?

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