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MATHS Practice Set – Ratio  And Proportion  – Accent Institute Hisar – Suraj Sir

MATHS Practice Set
Ratio  And Proportion
Accent Institute Hisar

Ratio  And Proportion

  1. Which of the following Represent a correct proportion ?
    a) 12 : 9 : : 16 : 12
    b) 13 : 11 : : 5 : 4
    c) 30 : 45 : : 13 : 24
    d) 3 : 5 : : 2 : 5
  2. If 8 , x and 50 are in continued proportion , then the value of x is _____
    a) 30
    b) 20
    c) 5
    d) 32
  3. If A : B = 7 : 9 and B : C = 3 : 5 then A : B : C is equal to _________
    a) 7 : 9 : 5
    b) 21 : 35 : 45
    c) 7 : 9 : 15
    d) 7 : 3 : 15
  4. The Ratio of the length of a school ground to its width is 5 : 2 . If the width is 40 m , then the length is _______
    a) 200 m
    b) 100 m
    c) 50 m
    d) 80 m
  5. The ratio of the age of two person is 4 : 7 and the age of one of them is greater then that of the other by 30 years .The sum of their ages is _____
    a) 110
    b) 100
    c) 70
    d) 40
  6. The sum of two number is equal to 20 and their difference is 25 . the ratio of number is __
    a) -9 : 1
    b) -7 : 9
    c) 3 : 5
    d) 2 : 7
  7. What number should be subtracted from both the terms of ratio 11 : 15 so as to make it as 2 : 3 ?
    a) 2
    b) 3
    c) 4
    d) 5
  8. There are two container of equal capacity . The ratio of milk and water in first container is 3 : 1 and in the second container is 5 : 2 . If they are mixed up , the ratio of milk to water in the mixture will be ?
    a) 28 : 41
    b) 41 : 28
    c) 15 : 41
    d) 41 : 15
  9. Two equal glasses filed with alcohol and water in the proportion 2 : 1 and 3 : 2 are emptied into a third glass . The proportion of alcohol and water in the third glass will be ?
    a) 13 : 17
    b) 19 : 17
    c) 13 : 11
    d) 19 : 11
  10. A box contain 280 coins of one rupee, 50-paise and 25-paise. The values of each king of the coins are in the ratio of 8 : 4 : 3 .Then the number of 50-paise coins is
    a) 70
    b)  60
    c)  80
    d)  90
  11. 555 was be divided among A, B and C in the ratio of ¼ : 1/5 : 1/6 . But by mistake it was divided in the ratio 4 : 5 : 6 . The amount in excess received by c was ?
    a) 72
    b)  75
    c)  22
    d)  52
  12. A man divides his property so that his son’s share to his wife’s share to his daughter’s are both as ratio 3 : 1 . If the Daughter gets Rs. 10000 less than son , the value of the whole property is ?
    a) 16250
    b) 16000
    c)  18250
    d) 17000
  13. A policeman stars to chase a thief. When the thief goes 10 steps the policeman  moves 8 step and 5 steps of the policeman are equal to 7 steps of the thief . the ratio of the speed of the policeman and the thief is
    a) 25 : 28  
    b)  25 : 26
    c)  28 : 25
    d)  56 : 25
  14. Tom is chasing Jerry. In the same interval of time Tom jumps 8 times while Jerry jumps 6 times. But the distance covered by Tom in 7 jumps in equal to the distance covered by Jerry in 5 jumps. The ratio of speed of Tom and Jerry is
    a) 48 : 35
    b) 28 : 15
    c)  24 : 20
    d) 20 : 21
  15. If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?
    a) 36
    b) 445
    c) 15  
    d) 12
  16. What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6?
    a) 12
    b) 13
    c) 65
    d)78
  17. Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is:-
    a) 14 : 25
    b) 10 : 21
    c) 12 : 23
    d) 13 : 22
  18. If two number are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers, then the sum of the two numbers is:
    a) 90
    b) 50
    c) 60
    d) 40
  19. If x/y = 3/4 , the ratio of (2x + 3y) and (3y – 2x) is:
    a) 2 : 1
    b) 3 : 2
    c) 3 : 1
    d) 1 : 1
  20. Incomes of x and y are in the ratio 4 : 3. Their expenditures are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is ?
    a) Rs.4000
    b) Rs. 8000
    c) Rs. 6000
    d) Rs. 2000
  21. A and B have their monthly incomes in the ratio 8 : 5 while their monthly expenditures are in the ratio 5 : 3, If they have saved Rs. 12,000 and 10,000 monthly respectively, then the difference in their monthly incomes is
    a) Rs. 46000
    b) Rs. 52000
    c) Rs. 42000
    d) Rs. 44000
  22. In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After few days, 30 girls joined the school but few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is
    a) 76
    b) 84
    c) 86
    d) 74
  23. If (x3 – y3) : (x2+ xy + y2) = 5 : 1 and (x2 – y2) : (x – y) = 7 : 1, then the ratio 2x : 3y equals
    a) 3 : 2
    b) 2 : 3
    c) 4 : 3
    d) 4 : 1
  24. If A : B = 1/2 : 1/3. B : C = 1/5 : 1/3, then (A+B) : (B+C) is equal to
    a) 5 : 8
    b) 15 : 16
    c) 9 : 10
    d) 6 : 15
  25. In a library the ratio of story books and other books is 7 : 2 and there are 1512 story books. Due to collection of some more story books the said ratio becomes 15 : 4. The number of story books collected is
    a) 108
    b) 205
    c) 100
    d) 97
  26. In 2 kg mixture of copper and aluminium, 30% is copper. How much aluminium powder should be added to the mixture so that the quantity of copper becomes 20%?
    a) 900 gms
    b) 800 gms
    c) 1000 gms
    d) 1200 gms
  27. A bag contains coins of Rs. 1, 50 paise and 25 paise in the ratio 2 : 3 : 5. If the total value of these coins is Rs. 228, then the number of 50 paise coins in that bag was
    a) 144
    b) 124
    c) 112
    d) 96
  28. Divide 27 into two parts so that 5 times the first and 11 times the second together equals to 195. Then ratio of the first and second parts is
    a) 3 : 2
    b) 17 : 10
    c) 2 : 7
    d) 5 : 4
  29. A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5 : 2. The quantity of milk in the mixture is:
    a) 16 litres
    b) 25 litres
    c) 32.5 litres
    d)22.75 litres
  30. The sides of a triangle are in the ratio of 7 : 9 : 12. The difference between the lengths of largest and smallest sides is 15 cm. The length of the largest sides would be:
    a) 36cm
    b) 12 cm
    c) 60 cm
    d) 24cm

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    MATHS Practice Set

    Answers
    1.a
    2.b
    3.c
    4.b
    5.a
    6.a
    7.b
    8.d
    9.d
    10.c
    11.a
    12.a
    13.c
    14.d
    15.d
    16.b
    17.d
    18.d
    19.c
    20.b
    21.c
    22.a
    23.d
    24.b
    25.a
    26.c
    27.a
    28.b
    29.b
    30.a