Question : Three glasses of equal volumes contain acid mixed with water. The ratios of acid to water are 2 : 3, 3 : 4, and 4 : 5, respectively. The contents of these glasses are poured into a large vessel. The ratio of acid to water in the large vessel is:
Option 1: 411 : 540
Option 2: 401 : 544
Option 3: 417 : 564
Option 4: 407 : 560
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Correct Answer: 401 : 544
Solution : The ratios of acid to water in three equal glasses are 2 : 3, 3 : 4, and 4 : 5, respectively. On mixing all three mixtures, Acid = $\frac{2}{5}+\frac{3}{7}+\frac{4}{9}$ = $\frac{126+135+140}{315}$ = $\frac{401}{315}$ Water = $\frac{3}{5}+\frac{4}{7}+\frac{5}{9}$ = $\frac{189+180+175}{315}$ = $\frac{544}{315}$ $\therefore$ Required ratio = $\frac{401}{315}$ : $\frac{544}{315}$ = 401 : 544 Hence, the correct answer is 401 : 544.
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Question : A vessel contains 20 L of acid. 4 L of acid is taken out of the vessel and replaced by the same quantity of water. Next, 4 L of the mixture is withdrawn and again the vessel is filled with the same quantity of water. The ratio of the quantity of acid left in the vessel with the quantity of acid initially in the vessel is:
Option 1: 4 : 5
Option 2: 4 : 25
Option 3: 16 : 25
Option 4: 1 : 5
Question : Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratios (4 : 1), (3 : 1), and (5 : 2), respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is:
Option 1: 4 : 1
Option 2: 151 : 48
Option 3: 157 : 53
Option 4: 5 : 2
Question : A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning of the vessel, was:
Option 1: 11.36
Option 2: 15.36
Option 3: 8.64
Option 4: 12.64
Question : One cup has juice and water in the ratio 5 : 2, while another cup of the same capacity has them in the ratio 7 : 4, respectively. If the contents of both the cups (when full) are poured into a vessel, then what will be the final ratio of water to juice in the vessel?
Option 1: 52 : 25
Option 2: 25 : 52
Option 3: 26 : 25
Option 4: 25 : 26
Question : Select the correct passive form of the given sentence.
How many glasses of water do you drink daily?
Option 1: How many glasses of water is drank by you daily?
Option 2: How many glasses of water are drank by you daily?
Option 3: How many glasses of water are drunk by you daily?
Option 4: How many glasses of water have been drunk by you daily?
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