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

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 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 Next, 4 L of the mixture is withdrawn and again the vessel is filled with the same quantity of water.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 : A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with an internal radius of 15 cm, what will be the height to which the water rises in it?

Option 1: 16 cm

Option 2: 10 cm

Option 3: 12 cm

Option 4: 14 cm

Question : In a mixture of 25 litres, the ratio of milk to water is 4 : 1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is:

Option 1: 5 : 1

Option 2: 5 : 2

Option 3: 5 : 3

Option 4: 5 : 4