SSC MTS MATHS QUIZ

Question 1:

In a mixture of 75 litres, the ratio of milk to water is 3: 2. If the ratio is to be 1: 2, how much water should be added ?

65 litres

90 litres

60 litres

50 litres

Question 2:

Two containers of equal capacity contains milk and water in the ratio $7: 2$ and $5: 3$ respectively. If they are mixed up, the ratio of water to milk in the resulting solution is:

$87: 57$

$43:101$

$101: 43$

$57: 87$

Question 3:

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

$287 \frac{1}{2} \mathrm{~kg}$

$287 \frac{2}{3} \mathrm{~kg}$

$287 \frac{4}{5} \mathrm{~kg}$

$287 \frac{6}{7} \mathrm{~kg}$

Question 4:

$150 \mathrm{gm}$ of sugar solution has $20 \%$ sugar in it. How much sugar should be added to make it $25 \%$ in the solution?

$10 \mathrm{gm}$

$45 \mathrm{gm}$

$35 \mathrm{gm}$

$40 \mathrm{gm}$

Question 5:

A solution contains acid and water in the ratio of $4: 5 .$ If $20 \%$ of the solution is replaced by water, then what will be the ratio of acid and water in the new solution?

$15: 16$

$12: 17$

$16: 29$

$15: 23$

Question 6:

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-

40

60

45

50

Question 7:

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.

3.22

5

$6 \frac{2}{3}$

8

Question 8:

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.

$4: 7$

$4: 9$

$3: 7$

$3: 5$

Question 9:

A solution contains acid and water in the ratio 16 : a . When $450 \mathrm{ml}$ of this solution is mixed with 70 ml water, the ratio of acid and water becomes $4: 9$ what is the value of a?

23

25

27

29

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?

$16.66 \%$

$17.25 \%$

$17 \%$

$15.625 \%$