Mixtures & alligations aptitude

Question 1

In what ratio must rice costing ₹40/kg be mixed with rice costing ₹55/kg to get a mixture worth ₹45/kg?

Accepted Answer

2 : 1

Answer

1 : 2

Answer

3 : 2

Answer

8 : 9

Question 2

A 60-litre mixture contains milk and water in the ratio 2 : 1. How much water must be added to make the ratio 1 : 1?

Accepted Answer

20 litres

Answer

10 litres

Answer

30 litres

Answer

15 litres

Question 3

A container holds 80 litres of pure milk. 8 litres are drawn out and replaced with water, and this is done three times in all. How much milk is left?

Accepted Answer

58.32 litres

Answer

56 litres

Answer

64.8 litres

Answer

57.6 litres

Question 4

Alloy A has copper and zinc in the ratio 3 : 2 and alloy B in the ratio 1 : 3. If equal weights of A and B are melted together, what is the ratio of copper to zinc in the new alloy?

Accepted Answer

17 : 23

Answer

4 : 5

Answer

3 : 4

Answer

23 : 17

Question 5

A trader mixes 26 kg of rice at ₹20/kg with 30 kg of rice at ₹36/kg and sells the mixture at ₹30/kg. What is his profit percentage?

Accepted Answer

5%

Answer

8%

Answer

10%

Answer

4%

Question 6

How much water must be added to 40 litres of a 25% alcohol solution to make it a 20% solution?

Accepted Answer

10 litres

Answer

8 litres

Answer

5 litres

Answer

12 litres

Question 7

A class of 30 students has an average score of 60. The boys average 64 and the girls average 54. How many boys are there?

Accepted Answer

18

Answer

12

Answer

15

Answer

20

Question 8

A merchant has 100 kg of sugar. He sells part of it at 8% profit and the rest at 18% profit, making 14% profit overall. How much did he sell at 8% profit?

Accepted Answer

40 kg

Answer

60 kg

Answer

50 kg

Answer

30 kg