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Ratio and Proportion

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Q. A and B can complete a work in 12 days and 15 days respectively. In how many days can they complete the work together?
  • A. 6
  • B. 8
  • C. 10
  • D. 5
Q. A bag contains red and blue balls in the ratio of 2:3. If there are 30 blue balls, how many red balls are there?
  • A. 20
  • B. 25
  • C. 15
  • D. 10
Q. A recipe requires sugar and flour in the ratio of 2:3. If there are 10 cups of flour, how many cups of sugar are needed?
  • A. 4
  • B. 6
  • C. 8
  • D. 5
Q. A recipe requires sugar and flour in the ratio of 2:3. If there are 15 cups of flour, how many cups of sugar are needed?
  • A. 10
  • B. 8
  • C. 12
  • D. 6
Q. If the ratio of the lengths of two sides of a triangle is 3:4 and the perimeter is 70 cm, what is the length of the shorter side?
  • A. 21
  • B. 24
  • C. 18
  • D. 30
Q. If the ratio of the number of apples to oranges is 3:5 and there are 40 oranges, how many apples are there?
  • A. 24
  • B. 30
  • C. 20
  • D. 32
Q. If the ratio of the speeds of two cars is 5:7 and the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?
  • A. 100
  • B. 120
  • C. 140
  • D. 160
Q. If the ratio of the speeds of two trains is 5:7 and the faster train travels 140 km in an hour, how far does the slower train travel in the same time?
  • A. 100
  • B. 120
  • C. 140
  • D. 160
Q. If the ratio of the speeds of two trains is 5:7 and the faster train travels 280 km in 4 hours, how far does the slower train travel in the same time?
  • A. 200
  • B. 240
  • C. 280
  • D. 320
Q. If the ratio of two numbers is 5:6 and their difference is 11, what are the two numbers?
  • A. 25, 30
  • B. 20, 25
  • C. 15, 20
  • D. 10, 15
Q. If the ratio of two numbers is 7:9 and their sum is 80, what is the larger number?
  • A. 45
  • B. 50
  • C. 55
  • D. 60
Q. If the ratio of two numbers is 7:9 and their sum is 80, what is the smaller number?
  • A. 32
  • B. 36
  • C. 28
  • D. 40
Q. In a class, the ratio of boys to girls is 2:3. If there are 30 students in total, how many girls are there?
  • A. 12
  • B. 18
  • C. 15
  • D. 20
Q. In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 35 liters of milk, how much water is there?
  • A. 14
  • B. 10
  • C. 12
  • D. 16
Q. In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 21 liters of water, how much milk is there?
  • A. 30
  • B. 25
  • C. 35
  • D. 28
Q. The ratio of the ages of two friends is 2:3. If the sum of their ages is 50 years, what is the age of the older friend?
  • A. 30
  • B. 25
  • C. 20
  • D. 35
Q. The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter is 70 cm, what is the length of the shorter side?
  • A. 30
  • B. 20
  • C. 25
  • D. 15
Q. The ratio of the lengths of two sides of a triangle is 3:4. If the perimeter is 70 cm, what is the length of the longer side?
  • A. 30
  • B. 40
  • C. 35
  • D. 45
Q. The ratio of the number of students in two classes is 4:5. If there are 36 students in the first class, how many students are in the second class?
  • A. 45
  • B. 40
  • C. 50
  • D. 36
Q. The ratio of the number of students in two classes is 5:6. If there are 60 students in the first class, how many students are in the second class?
  • A. 72
  • B. 66
  • C. 60
  • D. 54
Q. The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?
  • A. 100
  • B. 120
  • C. 140
  • D. 160
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