Question : If 60 litres of a milk solution has 40% milk in it, then how much milk should be added to make the milk 60% in the solution?
Option 1: 30 litres
Option 2: 25 litres
Option 3: 20 litres
Option 4: 35 litres
Correct Answer: 30 litres
Solution : Given, 60 litres of milk solution has 40% milk in it. Quantity of milk = $60\times\frac{40}{100}$ ⇒ Quantity of milk = 24 litres ⇒ Quantity of water = 60 - 24 ⇒ Quantity of water = 36 litres According to the question, The new solution has 60% milk and 40% water. Now, If 40% of water = 36 litres Quantity of milk = $\frac{36}{40}\times 60$ = 54 litres So, Quantity of milk required = 54 – 24 = 30 litres Hence, the correct answer is 30 litres.
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Question : A sugar solution of 3 litres contains 60% sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is:
Option 1: 30%
Option 2: 45%
Option 3: 50%
Option 4: 60%
Question : A class has five sections that have 25, 30, 40, 45, and 60 students, respectively. The pass percentages of these sections are 20%, 30%, 35%, 40%, and 100% respectively. The pass percentage of the entire class is:
Option 1: 87%
Option 2: 63%
Option 3: 53%
Option 4: 79%
Question : How much percentage should a racer increase speed to reduce the time by 20% to cover a fixed distance?
Option 1: 25%
Option 2: 30%
Option 3: 40%
Option 4: 35%
Question : A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. 15 litres of milk is added to the canister. The new ratio of the mixture is:
Option 1: 12 : 5
Option 2: 14 : 3
Option 3: 7 : 4
Option 4: 9 : 4
Question : The product of two numbers is 20000. If their LCM is 800, then what is their HCF?
Option 1: 25
Option 2: 30
Option 3: 35
Option 4: 20
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