Free Ratio and Proportion MCQs with Answers
293 Ratio and Proportion MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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293 questions · page 1 of 15
- A. Rs. 100
- B. Rs. 120
- C. Rs. 160
- D. Rs. 200
Explanation: The ratio has 3 + 5 = 8 parts, so one part is 320 ÷ 8 = 40. The smaller share is 3 × 40 = Rs. 120 and the larger is 5 × 40 = Rs.
Correct answer: Rs. 120- A. 3.2 cm
- B. 1.82 cm
- C. 2.54 cm
- D. 6.9 cm
Explanation: The standard length conversion is 1 inch = 2.54 cm. Therefore, option c is correct.
Correct answer: 2.54 cm- A. 9
- B. 12
- C. 15
- D. 18
Explanation: The ratio 3:5 contains 8 total parts, so each part represents 24 people / 8 = 3 people. Women represent 5 parts, giving 5 x 3 = 15 people.
Correct answer: 15- A. hq
- B. hq2
- C. 1/hq
- D. h/q
Explanation: Solving q questions in 1/h hour gives a rate of q questions / (1/h hour) = hq questions per hour.
Correct answer: hq2- A. 20
- B. 18
- C. 32
- D. 20
Explanation: The rice consumption rate is 20 kg ÷ (18 men × 3 days) = 20 kg ÷ 54 man-days.
Correct answer: 18- A. 20 days
- B. 18 days
- C. 28 days
- D. 36 days
Explanation: The available food represents 600 men × 30 days = 18,000 man-days. With 600 + 400 = 1,000 men, it will last 18,000 man-days ÷ 1,000 men =…
Correct answer: 18 days7. If 25 men can eat 150 kg of wheat in 30 days then 45 men can eat 450 kg of wheat in how many days?
- A. 13 days
- B. 50 days
- C. 15 days
- D. 18 days
Explanation: The wheat consumption rate is 150 kg ÷ (25 men × 30 days). The time for 45 men to consume 450 kg is 450 kg × (25 men × 30 days) ÷ (150 kg…
Correct answer: 50 days- A. 20 days
- B. 30 days
- C. 35 days
- D. 50 days
Explanation: The original provisions equal 1,200 boarders × 30 days = 36,000 boarder-days.
Correct answer: 30 days- A. 20 days
- B. 25 days
- C. 18 days
- D. 16 days
Explanation: After 1 day, the remaining food represents 12 person-days for every original person, because the total supply was 13 person-days and 1…
Correct answer: 20 days- A. 25 days
- B. 28 days
- C. 30 days
- D. 32 days
Explanation: The total supply is 24 men × 29 days = 696 man-days. In the first 4 days, 24 × 4 = 96 man-days are used, leaving 600 man-days; after 1/6…
Correct answer: 30 days- A. 30
- B. 45
- C. 60
- D. 50
Explanation: Fifteen cattle graze 1 field in 20 days, so one field requires 15 × 20 = 300 cattle-days.
Correct answer: 4512. 5kg food is consumed by 50 chickens in 2 days. 60 chickens will consume how much food in 6 days.
- A. 2 kg
- B. 6 kg
- C. 15 kg
- D. 18 kg
Explanation: Food consumption is proportional to the number of chickens and the number of days.
Correct answer: 18 kg- A. 30
- B. 40
- C. 50
- D. 15
Explanation: The original supply is 40 soldier-days. During the first 10 days, 10 soldier-days are used, leaving 30 soldier-days; when the number of…
Correct answer: 15- A. 20
- B. 40
- C. 30
- D. none
Explanation: The provisions equal 40 people × 20 days = 800 person-days. The first 10 days use 400 person-days, and the next 10 days use 35 × 10 = 350…
Correct answer: none- A. 50 days
- B. 90 days
- C. 65 days
- D. 55 days
Explanation: The total food represents 30 x 1 = 30 man-days in units of the original garrison's daily consumption.
Correct answer: 90 days- A. 45 days
- B. 35 days
- C. 70 days
- D. 80 days
Explanation: After 5 days, the food has 40 - 5 = 35 days of provision remaining for the original number of men.
Correct answer: 70 days- A. 12 days
- B. 5 days
- C. 9 days
- D. 6 days
Explanation: The original stock equals 500 men x 9 days = 4500 man-days. The first 3 days use 500 x 3 = 1500 man-days, leaving 3000 man-days; with 600…
Correct answer: 5 days- A. 8
- B. 7
- C. 6
- D. 5
Explanation: The spending rate is Rs. 850 ÷ (12 people x 10 days) = Rs. 850 ÷ 120 person-days. For 8 people to spend Rs. 340, the time is Rs.
Correct answer: 6- A. 5
- B. 6
- C. 4
- D. 10
Explanation: The provisions equal 500 people x 6 days = 3000 person-days. The first 2 days consume 500 x 2 = 1000 person-days, leaving 2000…
Correct answer: 5- A. 10
- B. 15
- C. 16
- D. 12
Explanation: The injections represent 80 patients x 15 days = 1200 patient-days. With 80 + 40 = 120 patients, they last 1200 ÷ 120 = 10 days.
Correct answer: 10Ratio and Proportion MCQs: common questions
Are these Ratio and Proportion MCQs free?
Yes. All Ratio and Proportion MCQs from Mathematics are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
How many Ratio and Proportion MCQs are on this page?
There are 293 Ratio and Proportion MCQs in the Mathematics bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Ratio and Proportion MCQ have an explanation?
Yes. Each Ratio and Proportion question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
Can I take a timed Ratio and Proportion test?
Yes. The practice button on this page starts a free Ratio and Proportion test drawn from the Mathematics bank. It marks each answer instantly, gives you a score at the end, and can be retaken as many times as you like.