Ratio and Proportion Questions with Solutions
Ratio and Proportion MCQs have always been a challenging part of competitive exams, often testing aspirants with tricky concepts and solutions. Almost every major examination such as UPSC, SSC CGL,...
1.What is the ratio of 24 to 36 in its simplest form?
2.If the ratio of boys to girls in a class is 3:2 and there are 15 boys, how many girls are there?
3.The fourth proportional to 2, 5, and 8 is:
4.Two quantities are in the ratio 2:3. If each is increased by 4, the new ratio becomes 3:4. Find the original quantities.
5.What is the mean proportional between 4 and 16?
6.A recipe calls for flour and sugar in the ratio 5:3. If you use 15 cups of flour, how much sugar do you need?
7.The ratio of the ages of A and B is 4:5. After 6 years, their ages will be in the ratio 5:6. What are their present ages?
8.If a:b = 2:3 and b:c = 4:5, then a:b:c is:
9.The ratio of two numbers is 3:4. If their L.C.M. is 84, find the numbers.
10.If 12 men can complete a work in 15 days, how many men are required to complete the same work in 10 days?
11.The third proportional to 9 and 12 is:
12.Two pipes can fill a tank in 12 and 18 minutes respectively. If both pipes are opened together, in how many minutes will the tank be filled?
13.The ratio of boys to girls in a school is 7:5. If there are 360 students in total, how many more boys than girls are there?
14.If a : b = 3 : 5 and b : c = 2 : 7, find a : c.
15.A car travels 240 km in 4 hours. At this rate, how far will it travel in 7 hours?
16.The sum of two numbers is 84 and their ratio is 3:4. Find the smaller number.
17.If 15 oranges cost ₹75, what will 28 oranges cost?
18.The ratio of the areas of two circles is 4:9. What is the ratio of their circumferences?
19.A, B, and C start a business with investments in the ratio 2:3:5. After 8 months, A increases his investment by 50%. If the total profit at the end of the year is ₹84,000, find A's share.
20.Two mixtures contain milk and water in the ratios 3:2 and 5:3 respectively. In what ratio should these mixtures be mixed to get a new mixture with milk and water in the ratio 2:1?
21.A train travels from station A to B at a speed of 60 km/h and returns at 90 km/h. If the total journey time is 5 hours, find the ratio of time taken from A to B to the time taken from B to A.
22.In a mixture of 45 liters, the ratio of alcohol to water is 2:3. How much alcohol must be added to make the ratio 1:1?
23.The ratio of the volumes of two spheres is 27:125. What is the ratio of their surface areas?
24.The ratio of speeds of two cars is 3:4. If the first car covers a distance in 8 hours, how long will the second car take to cover the same distance?
25.A company's profit is distributed among three partners A, B, and C in the ratio of their investments. If A invested for 12 months, B for 8 months, and C for 6 months with amounts in the ratio 2:3:4, what is A's share if the total profit is ₹1,14,000?
26.A mixture contains wine and water in the ratio 5:2. If 14 liters of the mixture is replaced with 14 liters of water, the new ratio becomes 5:4. Find the original quantity of the mixture.