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 8 of 15
- A. 3:2
- B. 3:4
- C. 3:5
- D. 4:5
Explanation: A selling price of Rs.68.20 per kg at a 10% gain means the mixture's cost price is Rs.68.20 per kg / 1.10 = Rs.62 per kg.
Correct answer: 3:2- A. 72
- B. 72.9
- C. 73.8
- D. 74.7
- E. None of these
Explanation: Each replacement removes 9 litres from a 90-litre vessel, so 81/90 = 0.9 of the milk remains after each operation.
Correct answer: 72.9- A. 16 : 5
- B. 14 : 5
- C. 16 : 7
- D. 19 : 5
- E. None of these
Explanation: From vessel P, 2 litres contains 2 litres x 62.5% = 1.25 litres of alcohol and 0.75 litres of water.
Correct answer: 19 : 5- A. 3/5
- B. 1/2
- C. 1/4
- D. 2/7
Explanation: Take the original mixture as 1 unit, containing 4/5 unit of wine and 1/5 unit of water.
Correct answer: 1/4- A. 18 litres
- B. 24 litres
- C. 32 litres
- D. 42 litres
Explanation: Four operations are performed, and each leaves the fraction (V - 8 litres) / V of the wine, where V is the original capacity.
Correct answer: 24 litres- A. Rs. 18
- B. Rs. 18.50
- C. Rs. 19
- D. Rs. 19.50Fun & Trivia
Explanation: For every 5 kg of mixture, there are 2 kg of Type 1 rice and 3 kg of Type 2 rice.
Correct answer: Rs. 18- A. 3 : 2
- B. 3 : 4
- C. 3 : 5
- D. 4 : 5
Explanation: At a 10% gain, the cost price of the mixture is Rs.68.20 per kg / 1.10 = Rs.62 per kg.
Correct answer: 3 : 2- A. 1 : 3
- B. 2 : 3
- C. 3 : 4
- D. 4 : 5
Explanation: Using alligation, rice at Rs.7.20 per kg : rice at Rs.5.70 per kg = (Rs.6.30 - Rs.5.70) : (Rs.7.20 - Rs.6.30) = Rs.0.60 : Rs.0.90 = 2:3.
Correct answer: 2 : 3- A. 2:5
- B. 1:5
- C. 3:5
- D. 4:5
Explanation: If the spirit costs Rs.1 per unit, adding water costing Rs.0 per unit and selling the mixture at Rs.1 per unit gives a 20% gain when water…
Correct answer: 1:5- A. 25 liters
- B. 28 litres
- C. 30 liters
- D. 35 liters
Explanation: The 40 litres of milk originally cost 40 litres x Rs.3.50 per litre = Rs.140.
Correct answer: 30 liters- A. 1:1
- B. 1:3
- C. 1:2
- D. 7:5
Explanation: Vessel A contains 4/7 milk and vessel B contains 2/5 milk. If x litres from A and y litres from B are mixed to obtain half milk, then…
Correct answer: 7:5- A. Rs.400
- B. Rs.500
- C. Rs.300
- D. Rs.600
- E. None of these
Explanation: The conditions give P = (Q + R)/2 and Q = (P + R)/3, or Q + R = 2P and P + R = 3Q.
Correct answer: Rs.500- A. Rs.3000
- B. Rs.3600
- C. Rs.2400
- D. Rs.4000
- E. None of these
Explanation: Let P and Q together have x rupees, so R has (2/3)x rupees. Thus x + (2/3)x = Rs.6000, giving (5/3)x = Rs.6000 and R = (2/3) x Rs.3600 =…
Correct answer: Rs.2400- A. Rs.849.40
- B. Rs.877.40
- C. Rs.901.60
- D. Rs.815.20
- E. None of these
Explanation: Six kilograms of flour cost 6 x Rs.20.50 = Rs.123.00, and this equals the cost of 2 kg of rice, so 1 kg of rice costs Rs.61.50.
Correct answer: Rs.877.40- A. 400
- B. 500
- C. 600
- D. 20
Explanation: For each of 20 boys, any one of 25 girls can be selected, so the multiplication principle gives 20 x 25 = 500 boy-girl selections.
Correct answer: 500- A. 21
- B. 12
- C. 9
- D. 108
Explanation: Each of the 9 trousers can be paired with any of the 12 shirts, so the multiplication principle gives 9 x 12 = 108 different selections.
Correct answer: 108- A. 6 1/8
- B. 5 3/4
- C. 6 3/4
- D. 5 7/8
Explanation: Interpreting the expression as 6 x 5/8 ÷ 5/8 - 1/8, first 6 x 5/8 = 30/8. Dividing by 5/8 gives (30/8) x (8/5) = 6, and 6 - 1/8 = 5 7/8.
Correct answer: 5 7/8- A. 1
- B. 2
- C. 69/28
- D. 66/17Computer Online Quiz
Explanation: The numerator is 22 x 495 + 891 x 44 = 10890 + 39204 = 50094. The denominator is 33 x 176 + 55 x 264 = 5808 + 14520 = 20328, so the…
Correct answer: 69/28- A. 1 17/38
- B. 1 38/17
- C. 2 38/17
- D. None of these
Explanation: The numerator is 62.25/2.5 + 12.5/0.5 = 24.9 + 25 = 49.9. The denominator is 0.75 x 9 + 3.5 x 3.5 = 6.75 + 12.25 = 19, giving 49.9/19 =…
Correct answer: None of these- A. 9
- B. 3
- C. 0.3
- D. 0.03
Explanation: The product of the fixed decimals is 0.003 x 0.0003 = 0.0000009. Therefore, ? = 0.00000027 / 0.0000009 = 0.3.
Correct answer: 0.3