Ratio and Proportion MCQs MCQs - Maths Practice | PakExamPoint

Practise Ratio and Proportion MCQs MCQs in Maths. Attempt multiple-choice questions, check answers and revise related subtopics.

Ratio and Proportion MCQs MCQs and revision practice

Study Ratio and Proportion MCQs through multiple-choice questions in Maths. This subtopic contains 287 practice questions. Read the wording carefully, compare the options and attempt an answer before checking the solution in learning mode.

Use these Ratio and Proportion MCQs MCQs to identify the facts, rules or methods you need to revise. Where an explanation is available, work through it and write down why your chosen option was correct or incorrect. Revisit difficult questions after reviewing your notes, then use exam mode for timed practice.

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Ratio and Proportion MCQs: questions and answer review

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1. If g : h = 8 : 9 and h : i = 9 : 12, then find g : h : i?

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Answer: 8 : 9 : 12

Explanation Given: g : h = 8 : 9 h : i = 9 : 12 To find the combined ratio g : h : i, we need to make the ratio of h the same in both. g : h = 8 : 9 h : i = 9 : 12 Since h has the same ratio in both (9), we can directly combine: g : h : i = 8 : 9 : 12

2. Which of the following is an example of a perfect square?

مندرجہ ذیل میں سے کون سا ایک کامل مربع کی مثال ہے؟

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Answer: 36

Explanation A perfect square is a number that can be expressed as the product of an integer multiplied by itself. Out of the given options : 18 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself. 27 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself. 30 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself. 36 is a perfect square because it can be expressed as 6×6=36, where 6 is an integer.

3. Find the value of if 3 : x :: 12 : 20. Find the value of x?

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Answer: 5

Explanation To solve this proportion, we can use the following steps: Write the proportion as a fraction: 3/x = 12/20 Cross-multiply: 3 × 20 = 12 × x Simplify: 60 = 12x Divide both sides by 12: x = 60/12 Simplify: x = 5 So, the value of x is 5.

4. If a man travels at 12 km per hour instead of 9 km per hour and travels 10 km more in the same time, what is the total distance traveled at the higher speed?

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Answer: 40 km

Explanation Distance is directly proportional to speed when time is constant (12 : 9 = 4 : 3). Solving the ratio gives the original distance as 30 km, so the increased distance is 30 + 10 = 40 km .

5. If a:b = 7:8 and b:c = 4:5, then a:c equals?

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Answer: 7:10

Explanation a:b = 7:8 b:c = 4:5 Make b same: a:b = 14:16 b:c = 16:20 Therefore, a:c = 14:20 = 7:10 . Last verified on 14-05-2026

6. The ratio between the length and breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in square meter)?

Check answer and explanation

Answer: 153600

Explanation 1. The ratio of length to breadth is 3:2. Let's assume the length is 3x and the breadth is 2x. 2. The perimeter of the rectangular park is 2(3x + 2x) = 10x. 3. The man completes one round in 8 minutes at a speed of 12 km/hr. Convert the speed to meters per minute: 12 km/hr = 12,000 m/60 min = 200 m/min 1. The distance covered in 8 minutes is: 200 m/min × 8 min = 1600 m Since the man completes one round, the perimeter of the park is 1600 m: 10x = 1600 x = 160 Now, find the length and breadth: Length = 3x = 3 × 160 = 480 m Breadth = 2x = 2 × 160 = 320 m Finally, calculate the area: Area = Length × Breadth = 480 × 320 = 153,600 sq. m

7. Asad and Aamir started a business with capitals of 63,000 and 72,000, respectively. After one year, they earned a profit of 45,000. The profit share of Aamir would be?

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Answer: 24000

Explanation Calculating the Ratio of Capitals Asad : Aamir = 63000 : 72000 = 7 : 8 Calculating the Profit Share Total parts = 7 + 8 = 15 Aamir's share = 8/15 × 45000 = 8 × 3000 = 24000

8. If a:b = 3:4 and b:c = 2:5 then a:c is?

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Answer: 3:10

Explanation Make b the same in both ratios a:b = 3:4 b:c = 2:5 → multiply by 2 → b:c = 4:10 Now a:b:c = 3:4:10 So a:c = 3:10 Last verified on 04-05-2026

9. If a:b, what is a called?

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Answer: Antecedent

Explanation In the context of a ratio written as "a:b," the term 'a' is called the antecedent or the first term of the ratio, while 'b' is the consequent or second term. Antecedent : The first term or number in a ratio. Consequent : The second term or number in a ratio. For example, in the ratio 5:2, the antecedent is 5 , and the consequent is 2.

10. A chemist mixes two solutions A and B in the ratio 3:5. If solution A constitutes 60 litres, how many litres of solution A and B?

Check answer and explanation

Answer: 100

Explanation To find the amount of solution A and B: Let the amount of solution A be 60 liters. The ratio of A to B is 3:5. Therefore, if A is 60 liters, then B is 5/3 × 60 =100 liters. So, the solutions are 60 liters of A and 100 liters of B.

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