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Ratio & Proportion MCQs 2026

45 questions with detailed answers · 17 from past papers · 5 quiz batches available

📚 Maths Mcqs 📄 17 Past-Paper Qs ✓ Free · No Login Needed
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Read each question, think about the answer, then click Show Answer to reveal the correct option and explanation. Load 10 at a time so it stays manageable — perfect for one-topic study sessions on the bus or during a break.

Page 1 of 1 Questions 1–10 of 45
  1. Q1 medium

    Divide 90 in the ratio 4:5. The two parts are

    1. A 30 and 60
    2. B 45 and 45
    3. C 40 and 50
    4. D 36 and 54
    💡 Explanation:

    Total parts = 9; 90/9 = 10, so parts are 40 and 50.

  2. Q2 Past Paper · PPSC/FPSC/NTS medium

    The ratio of 250 g to 1 kg is

    1. A 250:1
    2. B 1:250
    3. C 25:1
    4. D 1:4
    💡 Explanation:

    1 kg = 1000 g; 250:1000 = 1:4.

  3. Q3 easy

    The ratio 20:30 in simplest form is

    1. A 2:3
    2. B 3:2
    3. C 4:6
    4. D 1:2
    💡 Explanation:

    Dividing both terms by 10 gives 2:3.

  4. Q4 easy

    The ratio 15:25 in simplest form is

    1. A 5:3
    2. B 15:25
    3. C 5:7
    4. D 3:5
    💡 Explanation:

    Dividing both terms by 5 gives 3:5.

  5. Q5 easy

    The ratio 8:12 in simplest form is

    1. A 4:6
    2. B 3:2
    3. C 2:3
    4. D 1:2
    💡 Explanation:

    Dividing both terms by 4 gives 2:3.

  6. Q6 easy

    The ratio 9:12 in simplest form is

    1. A 4:3
    2. B 3:4
    3. C 9:12
    4. D 2:3
    💡 Explanation:

    Dividing both terms by 3 gives 3:4.

  7. Q7 easy

    The ratio 16:24 in simplest form is

    1. A 4:6
    2. B 8:12
    3. C 3:2
    4. D 2:3
    💡 Explanation:

    Dividing both terms by 8 gives 2:3.

  8. Q8 Past Paper · PPSC/FPSC/NTS medium

    In the proportion a:b::c:d, the product of the means equals

    1. A The product of the extremes
    2. B The sum of the extremes
    3. C a + d
    4. D b + c
    💡 Explanation:

    In a proportion, product of means = product of extremes (b×c = a×d).

  9. Q9 medium

    In the proportion a:b::c:d, the extremes are

    1. A b and c
    2. B a and c
    3. C a and d
    4. D b and d
    💡 Explanation:

    The first and last terms, a and d, are the extremes.

  10. Q10 medium

    In the proportion a:b::c:d, the means are

    1. A a and d
    2. B b and c
    3. C a and c
    4. D b and d
    💡 Explanation:

    The two middle terms, b and c, are the means.

  11. Q11 Past Paper · PPSC/FPSC/NTS medium

    If 2:3 = x:12, then x equals

    1. A 6
    2. B 4
    3. C 9
    4. D 8
    💡 Explanation:

    2/3 = x/12, so x = (2×12)/3 = 8.

  12. Q12 Past Paper · PPSC/FPSC/NTS medium

    The fourth proportional to 2, 4 and 6 is

    1. A 12
    2. B 8
    3. C 10
    4. D 3
    💡 Explanation:

    2:4::6:x, so x = (4×6)/2 = 12.

  13. Q13 hard

    If a:b = 2:5, the value of (a+b):b is

    1. A 2:5
    2. B 7:5
    3. C 5:7
    4. D 2:7
    💡 Explanation:

    a+b = 2+5 = 7 parts, and b = 5 parts, so (a+b):b = 7:5.

  14. Q14 medium

    The third proportional to 3 and 6 is

    1. A 12
    2. B 9
    3. C 18
    4. D 2
    💡 Explanation:

    Third proportional: 3:6::6:x, so x = (6×6)/3 = 12.

  15. Q15 Past Paper · PPSC/FPSC/NTS medium

    The mean proportional between 4 and 9 is

    1. A 13
    2. B 5
    3. C 6
    4. D 36
    💡 Explanation:

    Mean proportional = √(4×9) = √36 = 6.

  16. Q16 medium

    The mean proportional between 9 and 16 is

    1. A 25
    2. B 12
    3. C 7
    4. D 144
    💡 Explanation:

    Mean proportional = √(9×16) = √144 = 12.

  17. Q17 Past Paper · PPSC/FPSC/NTS medium

    The third proportional to 4 and 8 is

    1. A 8
    2. B 12
    3. C 2
    4. D 16
    💡 Explanation:

    Third proportional: 4:8::8:x, so x = (8×8)/4 = 16.

  18. Q18 easy

    If a:b = 2:3, then b:a is

    1. A 3:2
    2. B 2:3
    3. C 1:1
    4. D 5:6
    💡 Explanation:

    Reversing the ratio 2:3 gives 3:2.

  19. Q19 Past Paper · PPSC/FPSC/NTS medium

    100 divided in the ratio 2:3 gives

    1. A 30 and 70
    2. B 50 and 50
    3. C 40 and 60
    4. D 20 and 80
    💡 Explanation:

    Total parts = 5; 100/5 = 20, so parts are 2×20=40 and 3×20=60.

  20. Q20 medium

    60 divided in the ratio 1:2 gives

    1. A 30 and 30
    2. B 20 and 40
    3. C 15 and 45
    4. D 25 and 35
    💡 Explanation:

    Total parts = 3; 60/3 = 20, so parts are 20 and 40.

  21. Q21 medium

    50 divided in the ratio 2:3 gives

    1. A 25 and 25
    2. B 15 and 35
    3. C 10 and 40
    4. D 20 and 30
    💡 Explanation:

    Total parts = 5; 50/5 = 10, so parts are 20 and 30.

  22. Q22 medium

    The ratio 0.5:1 in simplest whole-number form is

    1. A 1:2
    2. B 2:1
    3. C 5:1
    4. D 1:5
    💡 Explanation:

    Multiplying both by 2 gives 1:2.

  23. Q23 medium

    If x:5 = 6:15, then x equals

    1. A 3
    2. B 5
    3. C 2
    4. D 4
    💡 Explanation:

    x/5 = 6/15 = 2/5, so x = 2.

  24. Q24 easy

    The simplest form of the ratio 25:100 is

    1. A 1:2
    2. B 1:4
    3. C 1:5
    4. D 2:5
    💡 Explanation:

    Dividing both terms by 25 gives 1:4.

  25. Q25 Past Paper · PPSC/FPSC/NTS hard

    If a:b = 1:2 and b:c = 2:3, then a:c is

    1. A 2:3
    2. B 1:2
    3. C 3:1
    4. D 1:3
    💡 Explanation:

    Combining gives a:b:c = 1:2:3, so a:c = 1:3.

  26. Q26 easy

    A proportion is an equation stating that two ______ are equal

    1. A Ratios
    2. B Sums
    3. C Products only
    4. D Differences
    💡 Explanation:

    A proportion states that two ratios are equal.

  27. Q27 medium

    If 4 pens cost 20 rupees, then 6 pens cost

    1. A 24
    2. B 28
    3. C 30
    4. D 36
    💡 Explanation:

    One pen costs 20/4 = 5; six pens cost 6×5 = 30.

  28. Q28 medium

    The value of x in 3:x = 9:15 is

    1. A 3
    2. B 5
    3. C 6
    4. D 45
    💡 Explanation:

    3/x = 9/15 = 3/5, so x = 5.

  29. Q29 Past Paper · PPSC/FPSC/NTS medium

    The ratio between 2 hours and 30 minutes is

    1. A 2:30
    2. B 1:15
    3. C 15:1
    4. D 4:1
    💡 Explanation:

    2 hours = 120 minutes; 120:30 = 4:1.

  30. Q30 easy

    The ratio 1:4 is equivalent to

    1. A 25:100
    2. B 4:1
    3. C 1:2
    4. D 10:100
    💡 Explanation:

    1:4 = 25:100 (both equal 0.25).

  31. Q31 medium

    If the ratio of boys to girls is 3:2 and there are 30 boys, the number of girls is

    1. A 30
    2. B 15
    3. C 20
    4. D 45
    💡 Explanation:

    3 parts = 30 boys, so 1 part = 10; girls = 2×10 = 20.

  32. Q32 medium

    The mean proportional between 2 and 8 is

    1. A 5
    2. B 4
    3. C 6
    4. D 16
    💡 Explanation:

    Mean proportional = √(2×8) = √16 = 4.

  33. Q33 Past Paper · PPSC/FPSC/NTS medium

    Two numbers are in the ratio 5:7 and their sum is 48. The larger number is

    1. A 20
    2. B 24
    3. C 21
    4. D 28
    💡 Explanation:

    Total parts = 12; 48/12 = 4, so larger = 7×4 = 28.

  34. Q34 medium

    If a:b = 3:4 and a = 9, then b equals

    1. A 12
    2. B 6
    3. C 16
    4. D 8
    💡 Explanation:

    9/b = 3/4, so b = (9×4)/3 = 12.

  35. Q35 Past Paper · PPSC/FPSC/NTS hard

    The compound ratio of 2:3 and 4:5 is

    1. A 6:15
    2. B 8:20
    3. C 8:15
    4. D 2:5
    💡 Explanation:

    Compound ratio = (2×4):(3×5) = 8:15.

  36. Q36 easy

    The simplest form of 45:60 is

    1. A 4:3
    2. B 3:4
    3. C 9:12
    4. D 5:6
    💡 Explanation:

    Dividing both terms by 15 gives 3:4.

  37. Q37 Past Paper · PPSC/FPSC/NTS hard

    The duplicate ratio of 3:4 is

    1. A 3:4
    2. B 6:8
    3. C 12:16
    4. D 9:16
    💡 Explanation:

    Duplicate ratio = 3²:4² = 9:16.

  38. Q38 medium

    If 5:8 = 20:x, then x equals

    1. A 32
    2. B 25
    3. C 40
    4. D 16
    💡 Explanation:

    5/8 = 20/x, so x = (8×20)/5 = 32.

  39. Q39 easy

    The ratio 7:21 in simplest form is

    1. A 7:21
    2. B 3:1
    3. C 1:3
    4. D 1:7
    💡 Explanation:

    Dividing both terms by 7 gives 1:3.

  40. Q40 Past Paper · PPSC/FPSC/NTS medium

    Two numbers are in the ratio 3:5 and their difference is 10. The smaller number is

    1. A 25
    2. B 20
    3. C 30
    4. D 15
    💡 Explanation:

    Difference = 2 parts = 10, so 1 part = 5; smaller = 3×5 = 15.

  41. Q41 Past Paper · PPSC/FPSC/NTS medium

    A sum of 120 is divided between A and B in the ratio 1:3. B's share is

    1. A 30
    2. B 40
    3. C 60
    4. D 90
    💡 Explanation:

    Total parts = 4; 120/4 = 30, so B gets 3×30 = 90.

  42. Q42 easy

    If x/y = 4/5, then the ratio x:y is

    1. A 5:4
    2. B 4:5
    3. C 1:1
    4. D 9:5
    💡 Explanation:

    x/y = 4/5 means x:y = 4:5.

  43. Q43 Past Paper · PPSC/FPSC/NTS medium

    The mean proportional between 16 and 25 is

    1. A 20
    2. B 21
    3. C 40
    4. D 41
    💡 Explanation:

    Mean proportional = √(16×25) = √400 = 20.

  44. Q44 Past Paper · PPSC/FPSC/NTS easy

    The ratio 12:18 in simplest form is

    1. A 3:2
    2. B 2:3
    3. C 6:9
    4. D 4:6
    💡 Explanation:

    Dividing both terms by 6 gives 2:3.

  45. Q45 Past Paper · PPSC/FPSC/NTS medium

    The relation 5:10::10:20 is a

    1. A False proportion
    2. B Ratio
    3. C True proportion
    4. D Compound ratio
    💡 Explanation:

    Product of extremes 5×20 = 100 equals product of means 10×10 = 100, so it is a true proportion.

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