Data Sufficiency Previous Year Questions (CAT) - Set 0003


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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 game consists of tossing a coin successively. There is an entry fee of Rs. 10 and an additional fee of Re. 1 for each toss of the coin. The game is considered to have ended normally when the coin turns heads on two consecutive throws. In this case the player is paid Rs. 100. Alternatively, the player can choose to terminate the game prematurely after any of the tosses. Ram has incurred a loss of Rs. 50 by playing this game. How many times did he toss the coin?  

    A. The game ended normally.

    B. The total number of tails obtained in the game was 138.    (CAT 2003 Leaked)


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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.

    Each packet of SOAP costs Rs. 10. Inside each packet is a gift coupon labelled with one of the letters S, O, A, and P. If a customer submits four such coupons that make up the word SOAP, the customer gets a free SOAP packet. Ms. X kept buying packet after packet of SOAP till she could get one set of coupons that formed the word SOAP. How many coupons with label P did she get in the above process? 

    A. The last label obtained by her was S and the total amount spent was Rs. 210.

    B. The total number of vowels obtained was 18.  (CAT 2003 Leaked)


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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.

    If A and B run a race, then A wins by 60 seconds. If B and C run the same race, then B wins by 30 seconds. Assuming that C maintains a uniform speed, what is the time taken by C to finish the race?

    A. A and C run the same race and A wins by 375 metres.

    B. The length of the race is 1 km.  (CAT 2003 Retest)


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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.

     

    Is a44 < b11, given that a = 2 and b is an integer?

    A. b is even

    B. b is greater than 16  (CAT 2003 Leaked)


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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.

     

    What are the unique values of b and c in the equation 4x2+ bx + c = 0 if one of the roots of the equation is (- 1/2)    

    A. The second root is 1/2

    B. The ratio of c and b is 1   (CAT 2003 Leaked)


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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.

    AB is a chord of a circle. AB = 5 cm. A tangent parallel to AB touches the minor arc AB at E. What is the radius of the circle?

    A. AB is not a diameter of the circle

    B. The distance between AB and the tangent at E is 5 cm     (CAT 2003 Leaked)


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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.

     

    A. - 3 ≤ a ≤ 3

    B. One of the roots of the equation 4x2 - 4x + 1 = 0 is a


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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.

    D, E, F are the mid-points of the sides AB, BC and CA of triangle ABC respectively. What is the area of DEF in square centimeters?

    A. AD = 1 cm, DF = 1 cm and perimeter of DEF = 3 cm

    B. Perimeter of ABC = 6 cm, AB = 2 cm, and AC = 2 cm  (CAT 2003 Leaked)


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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.

    In a hockey match, the Indian team was behind by 2 goals with 5 minutes remaining. Did they win the match?   

    A. Deepak Thakur, the Indian striker scored 3 goals in the last 5 minutes of the match.

    B. Korea scored a total of 3 goals in the match.    (CAT 2002)


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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.

    Four students were added to a dance class. Would the teacher be able to divide her students evenly into a dance team (or teams) of 8?  

    A. If 12 students were added, then the teacher could put everyone in teams of 8 without any leftovers.

    B. The number of students in the class is currently not divisible by 8.  (CAT 2002)


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