#### In a mixture of milk and water, the ratio is 7:3. If 10 liters of water are added to the mixture, the ratio becomes 7:5. What is the quantity of milk in the mixture before adding water? 1. [x] 35 liters 2. [ ] 42 liters 3. [ ] 49 liters 4. [ ] 56 liters #### The ages of A and B are in the ratio 5:8. After 6 years, the ratio of their ages will be 7:10. What is A's age? 1. [ ] 30 years 2. [x] 15 years 3. [ ] 18 years 4. [ ] 16 years #### If $ 2x + 3y = 25 $ and $ 3x - 2y = 13 $, what is the value of $ x:y $? 1. [ ] $ 5:3 $ 2. [ ] $ 3:5 $ 3. [x] $ 7:4 $ 4. [ ] $ 3:4 $ #### The ratio of incomes of A, B, and C is 4:7:9. If A's income is ₹4800 less than C's income, what is B's income? 1. [ ] ₹8800 2. [x] ₹8400 3. [ ] ₹9600 4. [ ] ₹10200 #### If $ \frac{2x}{3} = \frac{y}{5} = \frac{15}{2} $, what is the value of $ \frac{x}{y} $? 1. [ ] $ \frac{9}{5} $ 2. [ ] $ \frac{15}{9} $ 3. [x] $ \frac{3}{10} $ 4. [ ] $ \frac{5}{9} $ #### In a bag, the ratio of red balls to green balls is 3:5. If 6 red balls are added, the ratio becomes 2:3. How many green balls are there initially? 1. [ ] 15 2. [x] 90 3. [ ] 25 4. [ ] 30 #### The ratio of the ages of A and B is 5:8. After 10 years, the sum of their ages will be 72 years. What is B's age? 1. [ ] 38 years 2. [ ] 42 years 3. [x] 32 years 4. [ ] 52 years #### If $ 2x - 3y = 5 $ and $ 3x + 4y = 17 $, what is the value of $ \frac{x}{y} $? 1. [ ] $ \frac{5}{3} $ 2. [ ] $ \frac{3}{5} $ 3. [x] $ \frac{19}{10} $ 4. [ ] $ \frac{10}{19} $ #### The ratio of the ages of A and B is 4:7. After 5 years, A will be 25 years old. What is the age of B? 1. [ ] 40 years 2. [x] 35 years 3. [ ] 50 years 4. [ ] 55 years