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Exam Year: 2000

  • What is the maximum number of pieces of 5 cm x 5 cm x 10 cm cake that can be cut from a big cake of 5 cm x 30 cm x 30 cm size ?

    (a)

    10

    (b)

    15

    (c)

    18

    (d)

    30

    Correct Answer:

  • The distribution of 1,00,000 tourists who visited India during a particular year is shown in the given charts. Based on this, the number of Japanese tourists below the age of 39 who visited India in the year concerned is

    (a)

    10,000

    (b)

    8,000

    (c)

    6,000

    (d)

    4,000

    Correct Answer:

  • A goat is tied to two poles P and Q with ropes that are 15-metre long. P and Q are 20-metre apart as shown in the given diagram: Which one of the following shaded portions indicates the total area over which the goat can graze ?

    (a)

    I

    (b)

    II

    (c)

    III

    (d)

    IV

    Correct Answer:

  • The following figure represents time vs. learning curves of two students, Q and R for learning a Mathematics lesson : Which one of the following inferences can be drawn from the graph ?

    (a)

    R started slowly in the beginning but got ahead of Q to complete learning the lesson

    (b)

    Q started slowly and finished learning the lesson earlier than R

    (c)

    R was always faster than Q in learning Mathematics

    (d)

    Q was always faster than R in learning Mathematics

    Correct Answer:

  • A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B and reaches his destination D. The shortest distance between the starting point and destination is

    (a)

    18 km

    (b)

    16 km

    (c)

    15 km

    (d)

    12 km

    Correct Answer:

  • A club has 108 members. Two-thirds of them are men and the rest are women. All members are married except for 9 women members. How many married women are there in the club ?

    (a)

    20

    (b)

    24

    (c)

    27

    (d)

    30

    Correct Answer:

  • In the given figure, angle OQP = 30° and angle ORP = 20°, then angle QOR is equal to

    (a)

    100°

    (b)

    120°

    (c)

    130°

    (d)

    140°

    Correct Answer:

  • In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2% took Mathematics. The total number of candidates was 2000. How many candidates took both Physics and Mathematics ?

    (a)

    750

    (b)

    500

    (c)

    250

    (d)

    125

    Correct Answer:

  • A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blind-folded (without replacing any of it) to be assured of picking at least one ball of each colour ?

    (a)

    4

    (b)

    7

    (c)

    11

    (d)

    16

    Correct Answer:

  • Which one of the following has a greater perimeter than the rest ?

    (a)

    A square with an area of 36 sq cm

    (b)

    An equilateral triangle with a side of 9 cm

    (c)

    A rectangle with 10 cm as length and 40 sq cm as area

    (d)

    A circle with a radius of 4 cm

    Correct Answer: