Ratio & Proportion
20 Questions
Practice Problems
Ratio & Proportion Interview Questions
20 Questions
Ratio & Proportion
The ratio of two numbers is 3:5. If the sum of the numbers is 64, find the numbers.
Answer: 24 and 40 Total parts = 3 + 5 = 8 One part = 64/8 = 8 Numbers = 3×8 = 24 and 5×8 = 40.
If A:B = 2:3 and B:C = 4:5, find A:C.
Answer: 8:15 A:B = 8:12 and B:C = 12:15 Therefore, A:C = 8:15.
Divide ₹720 between A and B in the ratio 5:7.
Answer: A = ₹300, B = ₹420 Total parts = 12 A = (5/12)×720 = 300 B = (7/12)×720 = 420.
The ratio of boys to girls in a class is 4:5. If there are 20 boys, how many girls are there?
Answer: 25 girls 4 parts = 20 1 part = 5 Girls = 5×5 = 25.
If 8 pens cost ₹120, what is the cost of 12 pens?
Answer: ₹180 Cost is directly proportional. (120/8)×12 = 180.
A:B = 3:4 and B:C = 2:5. Find A:B:C.
Answer: 3:4:10 Equalize B. A:B = 3:4 B:C = 4:10 Therefore A:B:C = 3:4:10.
The ratio of ages of a father and son is 7:2. If the father is 42 years old, find the son's age.
Answer: 12 years Son's age = (2/7)×42 = 12.
If 5 workers complete a job in 12 days, how many days will 10 workers take?
Answer: 6 days Workers and days are inversely proportional. (5×12)/10 = 6.
The ratio of two numbers is 4:7 and their difference is 21. Find the numbers.
Answer: 28 and 49 Difference in ratio = 3 One part = 21/3 = 7 Numbers = 4×7 = 28 and 7×7 = 49.
If 15 notebooks cost ₹450, what will 20 notebooks cost?
Answer: ₹600 (450/15)×20 = 600.
The ratio of men to women in an office is 3:2. If there are 90 employees, how many are women?
Answer: 36 women Total parts = 5 Women = (2/5)×90 = 36.
A sum of money is divided between X and Y in the ratio 2:3. If X gets ₹400, find Y's share.
Answer: ₹600 2 parts = ₹400 1 part = ₹200 Y = 3×200 = ₹600.
If A:B = 5:8 and B:C = 4:7, find A:C.
Answer: 5:14 A:B = 20:32 B:C = 32:56 A:C = 20:56 = 5:14.
The ratio of two numbers is 6:11. If their sum is 102, find the larger number.
Answer: 66 Total parts = 17 One part = 102/17 = 6 Larger number = 11×6 = 66.
If 12 machines produce 240 units, how many units will 18 machines produce?
Answer: 360 units Direct proportion. (240×18)/12 = 360.
The ratio of red balls to blue balls is 3:7. If there are 70 blue balls, how many red balls are there?
Answer: 30 7 parts = 70 1 part = 10 Red balls = 3×10 = 30.
If 20 men can complete a work in 15 days, how many men are required to complete it in 10 days?
Answer: 30 men Men × Days = Constant (20×15)/10 = 30.
The ratio of two numbers is 9:4. If the larger number is 63, find the smaller number.
Answer: 28 One part = 63/9 = 7 Smaller number = 4×7 = 28.
If 6 pens cost the same as 4 notebooks, find the ratio of the cost of a pen to a notebook.
Answer: 2:3 6 pens = 4 notebooks 1 pen : 1 notebook = 4:6 = 2:3.
The ratio of the present ages of A and B is 5:7. If B is 28 years old, find A's age.
Answer: 20 years A = (5/7)×28 = 20.