SSC MTS MATHS QUIZ

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Question 1:

In a class of 80 students, 40% are girls and the rest are boys. The average weight of the boys is 55.5 kg. If the average weight of all the students in the class is 54 kg, then the average weight (in kg) of the girls is:

Question 2:

A mixture of acid and water contains 20 percent acid. When 10 litres of water is added to the mixture, then the percentage of acid becomes 15 percent. What is the original quantity of mixture?

Question 3:

A merchant has $2,000 \mathrm{~kg}$ of sugar, part of which he sells at $8 \%$ profit and rest at $18 \%$ profit. He gains $14 \%$ on the whole. Find the quantity sold at $18 \%$ profit.

Question 4:

Two alloys A and B have silver and copper in the ratio 5 : 1 and 7 : 2 respectively. In what ratio should they be mixed for 80% silver in the mixture?

Question 5:

A Container contains 40 liters of milk. From this Container 4 liters of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contains by the container?

Question 6:

There is 64 litre pure milk in a container. One-fourth of milk is replaced by water in the Container. Again one fourth of the mixture is extracted and an equal amount of water is added what is the ratio of water to milk in the new mixture -

Question 7:

When 1 liter alcohol is added to the 20 liter mixture of alcohol and water, the quantity of alcohol becomes 50% less than that of water in the mixture. Find the initial ratio of alcohol and water in the mixture ?

Question 8:

A trader mixes 15 kg of rice at Rs. 45 per kg with 25 kg of rice of other variety at Rs. 35 per kg and sells the mixture at Rs. 40 per kg. Find his profit or loss percent.

Question 9:

36 litres of a mixture contains milk and water in the ratio 3:1. If 20 litres of this mixture is replaced by 20 litres of milk, then find the ratio of milk to water in the new mixture.

Question 10:

A mixture of 100 liters of wine and water contains 60 percent wine. How much water must be added to make it $50 \%$ wine in the new mixture -