Data Sufficiency Previous Year Questions (CAT) - Set 0005


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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.

    A square is inscribed in a circle. What is the difference between the area of the circle and that of the square?  

    A. The diameter of the circle is 25√2 cm.

    B. The side of the square is 25 cm.  (CAT 2001)


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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.

    Two friends, Ram and Gopal, bought apples from a wholesale dealer. How many apples did they buy?  

    A. Ram bought one-half the number of apples that Gopal bought.

    B. The wholesale dealer had a stock of 500 apples.  (CAT 2001)


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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.

    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.  (CAT 2000)


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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.

    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  (CAT 2000)


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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.

    How many people are watching TV programme P?  

    A. Number of people watching TV programme Q is 1000 and number of people watching both the programmes, P and Q, is 100.

    B. Number of people watching either P or Q or both is 1500.  (CAT 2000)


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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.

    Triangle PQR has angle PRQ equal to 90 degrees. What is the value of PR + RQ?

    A. Diameter of the inscribed circle of the triangle PQR is equal to 10 cm.

    B. Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm. (CAT 2000)


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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.

    Harshad bought shares of a company on a certain day, and sold them the next day. While buying and selling he had to pay to the broker one percent of the transaction value of the shares as brokerage. What was the profit earned by him per rupee spent on buying the shares?

    A. The sales price per share was 1.05 times that of its purchase price.

    B. The number of shares purchased was 100.  (CAT 2000)


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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.

     

    For any two real numbers

    a b =  1 if both a and b are positive or both a and b are negative.

                 = –1 if one of the two numbers a and b is positive and the other negative.

    What is (2 ⊕ 0) (–5 ⊕ –6)?         

    A. a ⊕ b is zero if a is zero.

    B. a b = b a    (CAT 2000) 


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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.

    There are two straight lines in the x-y plane with equations ax + by = c, dx + ey = f.  Do the two straight lines intersect?  

    A. a, b, c, d, e and f are distinct real numbers.

    B. c and f are non-zero.  (CAT 2000)


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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.

    O is the centre of two concentric circles. ae is a chord of the outer circle and it intersects the inner circle at point; b and d. c is a point on the chord in between b and d. What is the value of ac/ce?   

    A. bc/cd = 1

    B. A third circle intersects the inner circle at b and d and the point c is on the line joining the centres of the third circle and the inner circle.    (CAT 2000)


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