Mathematics MCQs

Page No. 49

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?


a18 litres


b24 litres


c32 litres


d42 litres


View Answer 24 litres

Sharjeel has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Sharjeel spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Sharjeel add?


a3/5


b1/2


c1/4


d2/7


View Answer 1/4

Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is_______?


a16 : 5


b14 : 5


c16 : 7


d19 : 5


View Answer 19 : 5

A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?


a72


b72.9


c73.8


d74.7


View Answer 72.9

The ratio in which the price at Rs.7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs.6.30 a kg is_________?


a1:3


b2:3


c3:4


d4:5


View Answer 1:3

In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?


a3:2


b3:4


c3:5


d4:5


View Answer 3:2

In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?


a1:6


b2:3


c4:3


d6:1


View Answer 1:6

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?


a7 liters


b15 liters


c10 liters


d9 liters


View Answer 10 liters

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?


a9:1


b4:7


c7:1


d2:5


View Answer 9:1

In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?


a1:3


b3:1


c1:2


d2:1


View Answer 2:1

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