Instructions

For the following questions answer them individually

Question 11

Consider three real numbers, X, Y, and Z. Is Z the smallest of these numbers?

A. X is greater than at least one of Y and Z.
B. Y is greater than at least one of X and Z.

Video Solution

Solution

If we consider statemnet A. X is greater than at least one of Y and Z. Here X>Z or X>Y, both are possible.

By statement b. Y is greater than at least one of X and Z. Here Y>X or Y>Z.

If we consider bith the statements together then X>Y>Z or X,Y>Z.

In both cases Z is the smallest.

Question 12

Let X be a real number. Is the modulus of X necessarily less than 3?

A. X(X+3)<0

B. X(X-3)>0

Video Solution

Solution

Considering statement A, X(X+3)<0 . Here values of x which satisfy are X=-2 , -1 .
Considering statement B, X(X-3)>0 . Here values of x which satisfy are X = ..,-2,-1,4,5,6,... So using only statement 1 we know that uniquely modulus of x has to be less than 3. Hence, the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.

Instructions

Directions for the next 5 questions: Answer these questions based on the data provided in the table below: Factory Sector by Type of Ownership. All figures in the table are in percent of the total for the corresponding column.

Question 13

Suppose the average employment level is 60 per factory. The average employment in wholly private” factories is approximately:

Video Solution

Solution

If the total number of factories is 100, then the total number of employees = 60 × 100 = 6000 of which 64.6% = 3876 work in wholly private factories. Since the number of wholly private factories = 90.3, So we have 3876/90.3 = 43. hence option A.

Question 14

Among the firms in different sectors, value added per employee is highest in:

Video Solution

Solution

Value added per employee = Value added / Employment . So we can see that Central and State/local governments have highest Value added per employee = 1.8/1 = 1.8

Question 15

Capital productivity is defined as the gross output value per rupee of fixed capital. The three sectors with the higher capital productivity, arranged in descending order are:

Video Solution

Solution

We know that Compound productivity = Gross output / Fixed capital .So compound productivity for Public sector = 0.6, Central Government = 0.725, States/Local = 0.47, Central/States/Local = 1.07, Joint sector = 1.23 and wholly private = 1.36. Hence required is Wholly private, joint, central and state/local.

Question 16

A sector is considered ‘pareto efficient’ if its value added per employee and its value added per rupee of fixed capital is higher than those of all other sectors. Based on the table data, the pareto efficient sector is:

Video Solution

Solution

We can find Value added/employment and value added/fixed capital for the different sectors. We get values as Wholly private 0.9 and 1.25; Joint sector 1.59 and 1.19; Central/State/Local 1.8, 1.28; others 0.92 and 0.75. Hence option C.

Question 17

The total value added in all sectors is estimated at Rs. 14,000 crores. Suppose that the number of firms in the joint sector is 2700. The average value added per factory, in Rs. crores, in the central govt. is:

Video Solution

Solution

We know that number of factories in joint sector is 1.8% = 2700, so number of factories in Central Government = 1% of (2700 x 100/1.8) = 1500.

Value added by Central Government = 14.1% of 14,000= Rs. 1974 crores.

So we get = (1974 crores)/( 1500) = Rs. 1.32 crore

Instructions

Directions for the next 4 questions: Answer these questions based on the data presented in the figure below. FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to its GDP. The following figure displays the FEIs for select Asian countries for the years 1997 and 1998.

Question 18

The country with the highest percentage change in FEI in 1998 relative to its FEI in 1997, is:

Video Solution

Solution

From the given data we can clearly notice that FEI for India decreased (changed) by greatest percentage.

For India the value = (1.71-0.72)/1.71 = 57.894%

Question 19

Based on the data provided, it can be concluded that

Video Solution

Solution

We cant find absolute value of FEI as GDP value is not given . Hence option D.

Question 20

It is known that China’s GDP in 1998 was 7% higher than its value in 1997, while India’s GDP drew by 2% during the same period. The GDP of South Korea, on the other hand, fell by 5%.

Which of the following statements is/are true?

Foreign equity inflows to China were higher in 1998 than in 1997.

Foreign equity inflows to China were lower in 1998 than in 1997.

Foreign equity inflows to India were higher in 1998 than in 1997.

Foreign equity inflows to South Korea decreased in 1998 relative to 1997.

Foreign equity inflows to South Korea increased in 1998 relative to 1997,

Video Solution

Solution

The given values in the graph are ratio of FEI to GDP un %. So if entire value increase we can conculde that there can be increase in numerator and decrease in value of denominator and if entire value decrease we can conculde that there can be decrease in numerator and increase in value of denominator. hence only options 2 and 5 comply to these .

CAT Content

CAT 2000 Question Paper

Consider three real numbers, X, Y, and Z. Is Z the smallest of these numbers?

A. X is greater than at least one of Y and Z.
B. Y is greater than at least one of X and Z.

Let X be a real number. Is the modulus of X necessarily less than 3?

A. X(X+3)<0

B. X(X-3)>0

Suppose the average employment level is 60 per factory. The average employment in wholly private” factories is approximately:

Among the firms in different sectors, value added per employee is highest in:

Capital productivity is defined as the gross output value per rupee of fixed capital. The three sectors with the higher capital productivity, arranged in descending order are:

A sector is considered ‘pareto efficient’ if its value added per employee and its value added per rupee of fixed capital is higher than those of all other sectors. Based on the table data, the pareto efficient sector is:

The total value added in all sectors is estimated at Rs. 14,000 crores. Suppose that the number of firms in the joint sector is 2700. The average value added per factory, in Rs. crores, in the central govt. is:

The country with the highest percentage change in FEI in 1998 relative to its FEI in 1997, is:

Based on the data provided, it can be concluded that

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CAT Content

CAT 2000 Question Paper

Consider three real numbers, X, Y, and Z. Is Z the smallest of these numbers? A. X is greater than at least one of Y and Z. B. Y is greater than at least one of X and Z.

Let X be a real number. Is the modulus of X necessarily less than 3? A. X(X+3)<0 B. X(X-3)>0

Suppose the average employment level is 60 per factory. The average employment in wholly private” factories is approximately:

Among the firms in different sectors, value added per employee is highest in:

Capital productivity is defined as the gross output value per rupee of fixed capital. The three sectors with the higher capital productivity, arranged in descending order are:

A sector is considered ‘pareto efficient’ if its value added per employee and its value added per rupee of fixed capital is higher than those of all other sectors. Based on the table data, the pareto efficient sector is:

The total value added in all sectors is estimated at Rs. 14,000 crores. Suppose that the number of firms in the joint sector is 2700. The average value added per factory, in Rs. crores, in the central govt. is:

The country with the highest percentage change in FEI in 1998 relative to its FEI in 1997, is:

Based on the data provided, it can be concluded that

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Consider three real numbers, X, Y, and Z. Is Z the smallest of these numbers?

A. X is greater than at least one of Y and Z.
B. Y is greater than at least one of X and Z.

Let X be a real number. Is the modulus of X necessarily less than 3?

A. X(X+3)<0

B. X(X-3)>0