DELHI POLICE MATHS QUIZ

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Question 1:

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 2:

Distribute Rs.440 among 80 students such that each boy gets Rs.6 and each girl gets Rs.4. Find the possible number of boys-

Question 3:

In two alloy, gold and silver are in the ratio of $3: 1$ and $5: 2 .$ After alloying together $8 \mathrm{~kg}$, of the first alloy, $21 \mathrm{~kg}$ of the second alloy and several killograms of pure silver, third alloy was obtained in which the ratio of silver to gold was $2: 3 .$ Find the weight of pure silver added. (in $\mathrm{kg}$ )

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:

A has lent some money to B at $6 \%$ p.a and C at $9 \%$ p.a. At the end of year he has gained an overall interest of $7 \%$ p.a. In what ratio has he lent the money to B and C.

Question 6:

The ratio in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. $150 / \mathrm{kg}$ So that the mixed tea when sold Rs. 194.40 $\mathrm{kg}$, gain a profit of $20 \%$ is:

Question 7:

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 8:

In an alloy there is $24 \%$ of copper. To get 69 $\mathrm{kg}$ of copper. How much alloy will be required.

Question 9:

The Ratio of alcohol and water in $40 \mathrm{~L}$ of mixture is $5: 3$. $8 \mathrm{~L}$ of the mixture is removed and replaced with water. Now the ratio of the alcohol and water in the resultant mixture is:

Question 10:

75 litres of a solution contains $25 \%$ alcohol and the rest water. If 45 litres of water is mixed in it, then what is the percentage of alcohol in the new solution?