CAT 1999

Instructions

These questions are based on the table below presenting data on percentage population covered by drinking water and sanitation facilities in selected Asian countries.

Country A is said to dominate B or A > B if A has higher percentage in total coverage for both drinking water and sanitation facilities, and, B is said to be dominated by A, or B < A. A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country.Ā 

Question 151

India is not on the coverage frontier because

A. it is lower than Bangladesh in terms of coverage of drinking water facilities.

B. it is lower than Sri Lanka in terms of coverage of sanitation facilities.

C. it is lower than Pakistan in terms of coverage of sanitation facilities.

D. it is dominated by Indonesia.

Question 152

These relate to the above table with the additional provison that the gap between the population coveragesĀ ofĀ ā€˜sanitation facilitiesā€™ and ā€˜drinking water facilitiesā€™ is a measure of disparity in coverage.

The country with the most disparity in coverage of rural sector is

Question 153

These relate to the above table with the additional provison that the gap between the population coveragesĀ of ā€˜sanitation facilitiesā€™ and ā€˜drinking water facilitiesā€™ is a measure of disparity in coverage.

The country with the least disparity in coverage of urban sector is

Instructions

Each question is followed by two statements, A and B. Choose the option based on the given statements and questions

Question 154

The average weight of students in a class is 50 kg. What is the number of students in the class?

A. The heaviest and the lightest members of the class weigh 60 kg and 40 kg respectively.

B. Exclusion of the heaviest and the lightest members from the class does not change the average weight of the students.

Question 155

A small storage tank is spherical in shape. What is the storage volume of the tank?

A. The wall thickness of the tank is 1Ā cm.

B. When the empty spherical tank is immersed in a large tank filled with water,20 litres of water overflow from the large tank.


Question 156

Mr. X starts walking northwards along the boundary of a field, from point A on the boundary, and after walking for 150 metres reaches B, and then walks westwards, again along the boundary, for another 100 metres when he reaches C. What is the maximum distance between any pair of points on the boundary of the field?

A.The field is rectangular in shape.

B.The field is a polygon, with C as one of its vertices and A the mid point of a side.

Question 157

A line graph on a graph sheet shows the revenue for each year from 1990 through 1998 by points and joins the successive points by straight line segments. The point for revenue of 1990 is labelled A, that for 1991 as B, and that for 1992 as C. What is the ratio of growth in revenue between 91-92 and 90-91?

A.The angle between AB and X-axis when measured with a protractor is 40 degrees, and the angle between CB and X-axis is 80 degrees.

B.The scale of Y-axis is 1 cm = 1000 Rs.

Question 158

There is a circle with centre C at the origin and radius r cm. Two tangents are drawn from an external point D at a distance d cm from the centre. What are the angles between each tangent and the X-axis?

A.The coordinates of D are given

B.The X-axis bisects one of the tangents.

Question 159

Find a pair of real numbers x and y that satisfy the following two equations simultaneously. It is known that the values of a, b, c, d, e and f are non-zero. ax + by = c dx + ey = f

A. a = kd and b = ke, c = kf, k is not equal toĀ 0

B. a = b = 1, d = e = 2, f is not equal to 2c

Question 160

Three professors A, B and C are separately given three sets of numbers to add. They were expected to find the answers to 1+1, 1+1+2, and 1+1 respectively. Their respective answers were 3, 3, and b How many of the professors are mathematicians?

A.Ā A mathematician can never add two numbers correctly, but can always add three numbers correctly.

B. When a mathematician makes a mistake in a sum, the error is + I or -1.

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