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Exam Year: 1995

  • A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 metres ahead of the policeman, then the time required for the policeman to catch the thief will be

    (a)

    2 minutes

    (b)

    6 minutes

    (c)

    10 minutes

    (d)

    3 minutes

    Correct Answer:

  • A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics ?

    (a)

    12

    (b)

    36

    (c)

    4

    (d)

    10

    Correct Answer:

  • A rectangular sump of dimensions 6 m x 5 m x 4 m is to be built by using bricks to make the outer dimension 6.2 m x 5.2 x 4.2 m. Approximately how many bricks of size 20 cm x 10 cm x 5 cm are required to build the sump for storing water ?

    (a)

    1500

    (b)

    3000

    (c)

    15408

    (d)

    30000

    Correct Answer:

  • The value of (a – m) (b – m) … (y – m) (z – m) is

    (a)

    m^26 + am^25 + abm^24 +…+ a.b.c. …z

    (b)

    m^26 – am^25 + abm^24 +…- a.b.c. …z

    (c)

    0

    (d)

    Indeterminate

    Correct Answer:

  • Seven men, A, B, C, D, E, F and G are standing in a queue in that order. Each one is wearing a cap of a different colour like violet, indigo, blue, green, yellow, orange and red. D is able to see in front of him green and blue but not violet. E can see violet and yellow, but not red. G can see caps of all colours other than orange. If E is wearing an indigo coloured cap, then the colour of the cap worn by F is

    (a)

    blue

    (b)

    violet

    (c)

    red

    (d)

    orange

    Correct Answer:

  • In the given diagram, circle A represents teachers who can teach Physics, circle B represents teachers who can teach Chemistry and circle C represents those who can teach Mathematics. Among the regions marked p, q, r …….. the one which represents teachers who can teach Physics and Mathematics but not Chemistry, is

    (a)

    v

    (b)

    u

    (c)

    s

    (d)

    t

    Correct Answer:

  • A person travelled from one place to another at an average speed of 40 kilometres/hour and back to the original place at an average speed of 50 kilometres/hour. What is his average speed in kilometres/hour during the entire round-trip ?

    (a)

    45

    (b)

    20

    (c)

    400/9

    (d)

    Impossible to find out unless the distance between the two places is known

    Correct Answer:

  • Examine the following statements : I watch TV only if I am bored. I am never bored when I have my brother’s company. Whenever I go to the theatre, I take my brother along. Which one of the following conclusions is valid in the context of the above statements ?

    (a)

    If I am bored, I watch TV

    (b)

    If I am bored, I seek my brother’s company

    (c)

    If I am not with my brother, then I watch TV

    (d)

    If I am not bored, I do not watch TV

    Correct Answer:

  • In track meets both 100 yards and 100 metres are used as distances. By how many metres is 100 metres longer than 100 yards ?

    (a)

    0.856 m

    (b)

    8.56 m

    (c)

    0.0856 m

    (d)

    1.0 m

    Correct Answer:

  • ‘Yellow cake’, an item of smuggling across borders is

    (a)

    a crude form of heroin

    (b)

    a crude form of cocaine

    (c)

    uranium oxide

    (d)

    unrefined gold

    Correct Answer:

    (c)