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Prelims 2000 – 1999 · page 8 of 11

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  1. 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?

  2. 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?

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

  4. 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?

  5. 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

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

  7. In the sequence of numbers 5, 8, 13, X, 34, 55, 89, ……… the value of ‘X’ is

  8. On another planet, the local terminology for earth, water, light, air and sky are ‘sky’, ‘light’, ‘air’, ‘water’ and ‘earth’ respectively. If someone is thirsty there, what would he drink?

  9. The average speed of a train in the onward journey is 25% more than that of the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to-and-fro journey is 17 hours covering a distance of 800 km. The speed of the train in the onward journey is

  10. In a town 25% families own a phone and 15% own a car. 65% families own neither a phone nor a car. 2000 families own both a car and a phone.

    Consider the following statements in this regard:

    I.10% families own both a car and a phone.
    II.35% families own either a car or a phone.
    III.40,000 families live in the town.

    Which of the above statements are correct?

  11. In a code language, ‘SOLID’ is written as ‘WPSLPIMFHA’. What does the code word ‘ATEXXQIBVO’ refer to?

  12. In a group of five people—K, L and M are ambitious; M, N and R are honest; L, M and N are intelligent and K, N and R are industrious. Among these, neither industrious nor ambitious person(s) would include

  13. A man is standing on the 8 m long shadow of a 6 m long pole. If the length of his shadow is 2.4 m, what is the height of the man?

  14. If the angles of a triangle are in the ratio of 4 : 3 : 2, then the triangle

  15. If X + 2Y = 2X + Y, then X² / Y² is equal to

  16. A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is the same for both bowl and cylinder, then the volume of the beverage in the cylindrical vessel will be

  17. In an office, the distribution of work hours is as shown in the following table:

    No. of Staff MembersNo. of hours worked
    50 – 19
    1220 – 24
    2525 – 29
    4030 – 34
    1535 – 39
    840 – 45

    Consider the following inferences drawn from the table:

    I.The average number of hours worked by a staff member is about 30.
    II.The percentage of those who worked 35 or more hours is less than 25.
    III.At least 5 staff members worked more than 44 hours.

    Which of these inferences is/are valid?

  18. At a given time, two players are standing on a play-field. The cartesian coordinates of their locations are (20, 60) and (-40, -20) units. What is the distance between the players?

  19. The area of an ellipse is twice that of a circle. The major diameter of the ellipse is twice that of the minor diameter. The radius of the circle is

  20. Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony weigh 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct arrangement of the persons in the ascending order of their weights is

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