Q.1) There are two mixtures of honey and water, the quantity of honey in them being 25% and 75% of the mixture. If 2 gallons of the first are mixed with three gallons of the second, what will be the ratio of honey to water in the new mixture?

(a) 11 : 2

(b) 11 : 9

(c) 9 : 11

(d) 2 : 11

Q.2) There are two kinds of alloys of tin and copper. The first alloy contains tin and copper such that 93.33% of it is tin. In the second alloy there is 86.66% tin. What weight of the first alloy should be mixed with some weight of the second alloy so as to make a 50 kg mass containing 90% of tin?

(a) 15 kg

(b) 30 kg

(c) 20 kg

(d) 25 kg

Q.3) Two containers of equal capacity are full of a mixture of oil and water. In the first, the ratio of oil to water is 4 : 7 and in the second it is 7 : 11. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of oil to water?

(a) 149 : 247

(b) 247 : 149

(c) 143 : 241

(d) 241 : 143

Q.4) Two vessels contain spirit and water mixed respectively in the ratio of 1 : 3 and 3 : 5. Find the ratio in which these are to be mixed to get a new mixture in which the ratio of spirit to water is 1 :2.

(a) 2 : 1

(b) 3 : 1

(c) 1 : 2

(d) 1 : 3

Q.5) The price of a pen and a pencil is ₹ 35. The pen was sold at a 20% profit and the pencil at a 10% loss. If in the transaction a man gains ₹ 4, how much is cost price of the pen?

(a)₹ 10

(b)₹ 25

(c)₹ 20

(d) None of these

Q.6) A person purchased a cupboard and a cot for ₹ 18,000. He sold the cupboard at a profit of 20% and the cot at a profit of 30%. If his total profit was 25.833%, find the cost price of the cupboard.

(a)₹ 10,500

(b) ₹ 12,000

(c) ₹ 7500

(d) ₹ 8,000

Q.7) A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?

(a) 40 litres

(b) 32 litres

(c) 36 litres

(d) 48 litres

Q.8) Two solutions of 90% and 97% purity are mixed resulting in 21 litres of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?

(a) 15 litres

(b) 12 litres

(c) 9 litres

(d) 6 litres

Q.9) In the Singapore zoo, there are deers and there are ducks. If the heads are counted, there are 180, while the legs are 448. What will be the number of deers in the zoo?

(a) 136

(b) 68

(c) 45

(d) 22

Q.10) A bonus of ₹ 9,85,000 was divided among 300 workers of a factory. Each male worker gets ₹ 5000 and each female worker gets ₹ 2500 . Find the number of male workers in the factory.

(a) 253

(b) 47

(c) 94

(d) 206

Q.11) What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels of equal capacity in the ratios 4 : 1, 5 : 2 and 6 : 1 respectively?

(a) 166 : 22

(b) 83 : 22

(c) 83 : 44

(d) None of these

Q.12) A mixture worth ₹ 3.25 a kg is formed by mixing two types of flour, one costing ₹ 3.10 per kg while the other ₹ 3.60 per kg. In what proportion must they have been mixed?

(a) 3 : 7

(b) 7 : 10

(c) 10 : 3

(d) 7 : 3

Q.13) A 20 percent gain is made by selling the mixture of two types of ghee at ₹ 480 per kg. If the type costing 610 per kg was mixed with 126 kg of the other, how many kilograms of the former was mixed?

(a) 138 kg

(b) 34.5 kg

(c) 69 kg

(d) Cannot be determined

Q.14) In what proportion must water be mixed with milk so as to gain 20% by selling the mixture at the cost price of the milk? (Assume that water is freely available)

(a) 1 : 4

(b) 1 : 5

(c) 1 : 6

(d) 1 : 12

Q.15) A bartender stole champagne from a bottle that contained 50% of spirit and he replaced what he had stolen with champagne having 20% spirit. The bottle then contained only 25% spirit. How much of the bottle did he steal?

(a) 80%

(b) 83.33%

(c) 85.71%

(d) 88.88%

Q.16) A man possessing ₹ 6800, lent a part of it at 10% simple interest and the remaining at 7.5% simple interest. His total income after 3(1/2)years was ₹ 1904. Find the sum lent at 10% rates.

(a) ₹ 1260

(b) ₹ 1700

(c) ₹ 1360

(d) None of these

Q.17) If a man decides to travel 80 kilometres in 8 hours partly by foot and partly on a bicycle, his speed on foot being 8 km/h and that on bicycle being 16 km/h, what distance would he travel on foot?

(a) 20 km

(b) 30 km

(c) 48 km

(d) 60 km