Bissoy.com
Doctors Medicines MCQs Q&A

Two glasses of equal volume contain milk upto one-third and one fourth of their capacity respectively. They are then filled up with water and the contents mixed in a bowl. What is the ratio of milk and water in the bowl? [CGTET Feb 2011]

Two glasses of equal volume contain milk upto one-third and one fourth of their capacity respectively. They are then filled up with water and the contents mixed in a bowl. What is the ratio of milk and water in the bowl? [CGTET Feb 2011] Correct Answer 7 : 17

Given : 

Glass1 : Has 1/3 volume of milk 

Glass2 : Has 1/4 volume of milk 

Formula Used : 

Remaining volume in mixture of water = 1 - volume of milk in mixture

Calculation : 

The volume of water in glass1 is = 1 - 1/3 = 2/3

The volume of water in glass2 is = 1 - 1/4 = 3/4

Ratio of milk/water in glass1 = 1:3 / 2:3 = 1/2  

Ratio of milk/water in glass2 = 1:4 / 3:4 = 1/3

LCM of (2,3) = 6

Glass Milk in liters Water in liters
Glass - 1 2 4
Glass - 2 1.5 4.5

 

Total milk in mixture is = 2 + 1.5 = 3.5 L

Total water in mixture is = 4 + 4.5 = 8.5 L

Ratio of milk to the water in the mixture = 3.5 / 8.5 = 7 / 17

 

Related Questions

The average temperature from 16th Feb to 23rd Feb was 15.1° and from 17th Feb to 24th Feb, it was 16.2°. If the temperature on 16th Feb was 5.4°, then what was the temperature (in °C) on 24th Feb?
Two equal glasses are respectively one-third and one-fourth full of milk. they are then filled up with water and the contents are mixed in a tumbler. Ratio of milk and water in tumbler is :
Two glasses of equal volume respectively are half and three - fourths filled with milk. They are then filled to brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel ?
Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water, Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?
A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twenty-fourth of its capacity, during the second hour at one-twelfth of its capacity, during the third hour at one-eighth of its usual capacity, during the fourth hours at one-fourth of its usual capacity and during the fifth hour it was only one-half as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank a constant rate, the empty cistern could be filled in 5 hours, all the three pipe working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?
Two glasses A and B of quantity 200 ml contains milk-water mixture in the ratio 3 ∶ 2 and 3 ∶ 7 respectively. From glass A, 50 ml of the mixture is removed and replaced with water. From glass B, 100 ml of mixture is removed and replaced with milk. If the mixture of the two glasses is mixed, what is the ratio of milk and water in the final mixture?
Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?
A mixture contains milk and water in the ratio (by volume) 5 : 3 and another mixture of the same volume as that of the former, contains water and milk in the ratio (by volume) 1 : 3. In what ratio, two mixture be mixed in order to obtain a new mixture consisting of milk and water in the ratio (by volume) 7 : 3?
Two vessels a and b of the equal volume contain milk and water in the ratio 3 ∶ 2 and 2 ∶ 1 respectively. Two liters of the solution from the vessel a and three liters of the solution from vessel b are poured in a big empty vessel c. If the solution in c occupied 40% of the capacity of c, what proportion of the volume of vessel c should be the volume of water that shall be added so that the ratio of milk and water in vessel c becomes 1 ∶ 1?
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 ratio of (4 : 1), (3 : 1) and (5 : 2) respectively. The mixture of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is = ?