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  1. The weights of three boys are in the ratio 4:5:6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?
  2. A.
    32 kg
    B.
    36 kg
    C.
    40 kg
    D.
    44 kg
    E.
    None of these

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  3. If p, q and r are positive integers and satisfy x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is?
  4. A.
    1/2
    B.
    1
    C.
    -1/2
    D.
    -1
    E.
    None of these

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  5. What is the least number to be subtracted from 11, 15, 21 and 30 each so that the resultant numbers become proportional?
  6. A.
    1
    B.
    2
    C.
    3
    D.
    4
    E.
    None of these

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  7. A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
  8. A.
    63
    B.
    28
    C.
    48
    D.
    32
    E.
    None of these

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  9. In an exam, a candidate secured 504 marks out of the maximum mark of M. If the maximum mark M is converted into 800 marks, he would have secured 384 marks. What is the value of M?
  10. A.
    750
    B.
    1200
    C.
    1125
    D.
    975
    E.
    None of these

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  11. In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
  12. A.
    420
    B.
    528
    C.
    494
    D.
    464
    E.
    None of these

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  13. 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
  14. A.
    30
    B.
    60
    C.
    45
    D.
    90
    E.
    None of these

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  15. If a : b = 4 : 1, then find (a - 3b)/(2a - b).
  16. A.
    2/7
    B.
    1/7
    C.
    3/7
    D.
    5/7
    E.
    None of these

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  17. If (x + y)/(2x + y) = 4/5, then find (2x + y)/(3x + y).
  18. A.
    4/5
    B.
    5/6
    C.
    6/7
    D.
    3/4
    E.
    None of these

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  19. There are two positive numbers in the ratio 5 : 8. If the larger number exceeds the smaller by 15, then find the smaller number?
  20. A.
    25
    B.
    30
    C.
    20
    D.
    35
    E.
    None of these

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