Ratio & Proportion MCQs 2026

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

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Page 1 of 1 Questions 1–10 of 45

Q1 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.
Q2 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.
Q3 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.
Q4 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.
Q5 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.
Q6 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.
Q7 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.
Q8 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.
Q9 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).
Q10 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.
Q11 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.
Q12 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.
Q13 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.
Q14 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.
Q15 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.
Q16 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.
Q17 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.
Q18 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.
Q19 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.
Q20 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.
Q21 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.
Q22 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.
Q23 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.
Q24 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.
Q25 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.
Q26 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.
Q27 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.
Q28 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.
Q29 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.
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).
Q31 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.
Q32 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.
Q33 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.
Q34 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.
Q35 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.
Q36 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.
Q37 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.
Q38 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.
Q39 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.
Q40 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.
Q41 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.
Q42 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.
Q43 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.
Q44 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.
Q45 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.

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Ratio & Proportion MCQs 2026

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