SSC MTS MATHS QUIZ

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Question 1:

A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced by the same quantity of water. Next 4 litres of the mixture are withdrawn, and again the vessel is filleld with the same quantity of water.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:

Question 2:

A vessel contains 60 liter of mixture of milk and water in which percentage of water is $30 \%$. How much water should be added to it so that percentage of water becomes $40 \%$.

Question 3:

Three containers contain mixture of milk and water in the ratio $5: 3,2: 1$ and $7: 5$ respectively. All the three mixture are mixed in the ratio $4: 5: 6$. What is the ratio of water and milk in the final mixture?

Question 4:

In what ratio must a grocer mix two varieties of pulses costing Rs 15 and Rs 20 per kg respectively so as to get a mixture worth  $16.50Rs/ \mathrm{~kg}$ ?

Question 5:

Solution A and B are $16 \%$ and $21 \%$ acidic respectively. In what ratio should solution A and B be mixed to obtain a solution which is $19.5 \%$ acidic.

Question 6:

The ratio of milk and water in the mixture of $5: 2$. If 42 liters of mixture is replaced with water then the ratio of milk and water becomes $2: 5$. What was the initial quantity of milk in the mixture.

Question 7:

In what ratio must a grocer mix sugar at Rs.32 per kg and Rs.38 per kg as after selling the mixture at Rs. 45 per $\mathrm{kg}$ he makes a profit of $20 \%$ ?

Question 8:

A container contains 120 litres of the mixture of milk and water in the ratio 8:4. If 20 litres of milk are added in this mixture, then what is the final ratio of milk and water in the final mixture?

Question 9:

An alloy contains $40\%$ silver, $30\%$ copper and $30\%$ nickel. How much silver (in kg) should be mixed in the 25 kg alloy so that silver in the new alloy  becomes $50 \%$  ?

Question 10:

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.