Logical Reasoning previous years questions (CAT) - Set 0013


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    Previous years`s CAT questions: Logical Reasoning

    Post your solutions as reply to respective questions below.


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    Question 1

    Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.

    1. If Akbar and Anthony wear the same colour of shirts, then which of the following is not true?

    a. Amar wears blue and Akbar wears green
    b. Amar wears green and Akbar wears red
    c. Amar wears blue and Akbar does not wear blue
    d. Anthony wears red

    2. If two of them wear the same colour, then how many of the following must be false?

    I. Amar wears blue and Akbar does not wear green
    II. Amar does not wear blue and Akbar wears blue
    III. Amar does not wear blue and Akbar does not wear blue
    IV. Amar wears green, Akbar does not wear red, Anthony does not wear green

    a. None

    b. One

    c. Two

    d. Three             (CAT 1998 )


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    Answer: 1. Option A 2. Option B


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    Question 2

    Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bengal and Ms Maharashtra. Mrs Bankatlal, who was very anxious about the result, asked him about it as soon as he was back home. Mr Bankatlal just told that the one who was wearing the yellow saree won the contest. When Mrs Bankatlal pressed for further details, he elaborated as follows:

    All of them were sitting in a row.
    All of them wore sarees of different colours, viz. green, yellow, white, red.
    There was only one runner-up and she was sitting beside Ms. Maharashtra.
    The runner-up was wearing the green saree.
    Ms West Bengal was not sitting at the ends and was not the runner up.
    The winner and the runner-up are not sitting adjacent to each other.
    Ms Maharashtra was wearing white saree.
    Ms Andhra Pradesh was not wearing the green saree.
    Participants wearing yellow saree and white saree were at the ends.

    1. Who wore the red saree?

    a. Ms Andhra Pradesh
    b. Ms West Bengal
    c. Ms Uttar Pradesh
    d. Ms Maharashtra

    2. Ms. West Bengal was sitting adjacent to

    a. Ms Andhra Pradesh and Ms Maharashtra
    b. Ms Uttar Pradesh and Ms Maharashtra
    c. Ms Andhra Pradesh and Ms Uttar Pradesh
    d. Ms Uttar Pradesh

    3. Which saree was worn by Ms Andhra Pradesh?

    a. Yellow
    b. Red
    c. Green
    d. White

    4. Who was the runner-up?

    a. Ms Andhra Pradesh
    b. Ms West Bengal
    c. Ms Uttar Pradesh
    d. Ms Maharashtra          ( CAT 1998 )


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    Answer: 1. Option B 2. Option C 3. Option A 4. Option C


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    Question 3

    A, B, C and D collected one-rupee coins following the given pattern.
    Together they collected 100 coins.
    Each one of them collected even number of coins.
    Each one of them collected at least 10 coins.
    No two of them collected the same number of coins.

    1. The maximum number of coins collected by any one of them cannot exceed

    a. 64
    b. 36
    c. 54
    d. None of these

    2. If A collected 54 coins, then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at least

    a. 12
    b. 24
    c. 30
    d. None of these

    3. If A collected 54 coins and B collected two more coins than twice the number of coins collected by C, then the number of coins collected by B could be

    a. 28
    b. 20
    c. 26
    d. 22             (CAT 1998 )


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    Answer: 1. Option A 2. Option C 3. Option D


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    Question 4

    A, B, C and D are to be seated in a row.

    But C and D cannot be together.

    Also B cannot be at the third place.

    1. Which of the following must be false?

    a. A is at the first place
    b. A is at the second place
    c. A is at the third place
    d. A is at the fourth place

    2. If A is not at the third place, then which of the following options does C have?

    a. The first place only
    b. The third place only
    c. The first and third place only
    d. Any of the places

    3. If A and B are together, then which of the following must be necessarily true?

    a. C is not at the first place
    b. A is at the third place
    c. D is at the first place
    d. C is at the first place          (CAT 1998 )


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    Answer: Option A Option C Option B


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    Question 5

    Choose the set in which the third statement is a logical conclusion of the first two.

    A. All Ts are square. All squares are rectangular. All Ts are rectangular.
    B. Some fat are elongated. Some elongated things are huge. Some fat are huge.
    C. Idiots are bumblers. Bumblers fumble. Idiots fumble.
    D. Water is good for health. Health foods are rare. Water is rare.

    a. D only

    b. C only

    c. Both A and C

    d. All of these           (CAT 1998 )


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    Answer: Option C


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