Data Sufficiency Previous Year Questions (CAT) - Set 0006


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    Previous years`s CAT questions: Data Sufficiency

    Post your solutions as reply to respective questions below.


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    Question 1

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    Ghosh Babu has decided to take a non-stop flight from Mumbai to No-man’s-land in South America. He is scheduled to leave Mumbai at 5 am, Indian Standard Time on December 10, 2000. What is the local time at No-man’s-land when he reaches there?

    A. The average speed of the plane is 700 kilometres per hour.

    B. The flight distance is 10,500 kilometres. (CAT 2000)


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    Question 2

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    What are the ages of two individuals, X and Y?   

    A. The age difference between them is 6 years.

    B. The product of their ages is divisible by 6.   (CAT 2000)


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    Question 3

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    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            ( CAT 1999 )


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    Question 4

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

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

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

    B. When an empty spherical tank is immersed in a large tank filled with water, 20 l of water overflow from the large tank.          ( CAT 1999 )


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    Question 5

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    Mr X starts walking northwards along the boundary of a field from point A on the boundary, and after walking for 150 m reaches B, and then walks westwards, again along the boundary, for another 100 m 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 as the mid-point of a side.

    ( CAT 1999 )


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    Question 6

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    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 1991-92 and 1990-91?

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

    B. The scale of Y-axis is 1 cm = Rs. 100         ( CAT 1999 )


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    Question 7

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    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.         ( CAT 1999 )


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    Question 8

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    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 ≠ 0

    B. a = b = 1, d = e = 2, f ≠ 2c                         ( CAT 1999 )


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    Question 9

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    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 2. How many of the professors are mathematicians?

    A. 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 +1 or –1.    ( CAT 1999 )


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    Question 10

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    How many students among A, B, C and D have passed the examination?

    A. The following is a true statement: A and B passed the examination.

    B. The following is a false statement: At least one among C and D has passed the examination.         

    ( CAT 1999 )


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