Practice Test

Q1) A shopkeeper mixes two varieties of pulses to get a mixture of pulses. He uses 1 g and 4 kg of pulses costing Rs.10 and Rs. 20 per kg respectively. What is the cost of the resultant mixture (in Rs. Per kg)? Show Answer

Q2) A solution containing 20% water is mixed with another solution containing 40% water. In what proportion should the two solutions be mixed to get a solution containing 25% water? Show Answer

Q3) How many litres of water must be added to 20 litres of 24% solution of wine in water to make it a 10% solution of wine in water? Show Answer

Q4) In what ratio should two alloys with zinc and tin in the ratio 3:5 and 5:3 respectively, be mixed to get a new alloy containing zinc and tin in the ratio 1:1? Show Answer

Q5) Mr. Lal mixed coffee powder worth Rs. 2 per kg and Rs.4 kg and then sold the mixture at Rs.3.75 per kg, thereby gaining a profit of 50%. In what proportion did the mix the two types of coffee powder? Show Answer

Q6) Milk contained in a vessel of capacity 72 litres is diluted by replacing it with water twice. After the replacement the ratio of milk to water is 25:11. Find the quantity of water added each time. Show Answer

Q7) A teacher teaches two different classes having the same number of students. In one class the ratio of the number of students who passes to the number of students who failed is 3:4. In the other class, the same ratio is 4:5. The teacher wants to find the total passing percentage of all her students in both classes. The approximate value of this quantity is:
Show Answer

Q8) The alloy Cuzi contains copper and zinc in the ratio 3:4. The alloy Zial contains zinc and aluminium in the ratio 5:2. The alloy Alfie contains aluminium and iron the ratio 1:3. Equal amounts of each alloy are melted together and recast into a new alloy. What is the ratio of the amount of copper to the amount of aluminium in the new alloy? Show Answer

Q9) Mr. Dayal, a shopkeeper, bought two varieties of orange juice at Rs.50 litre and Rs.42 litre respectively. He mixed them in some proportion to get a drink he called 'Oranj-La' , which he sold at Rs.54 a litre, thereby making a profit of 20%. How much of the Rs.50 variant of juice is present in 40 litres of Orang-La? Show Answer

Q10) In Ram's purse, the ratio of 2 rupee coins to 5 rupee coins is 4:11, and there are no other types of coins. In Shyam's purse, the ratio of 5 rupee coins to 2 rupee coins is 7:3, and there are no other types of coins. Shyam's purse contains twice as many 2 rupee coins as Ram's purse. Now, they put all their coins in a larger purse. They see that the total amount they have is Rs.744. What portion of this amount (in rupees) is in the form of 2 rupee coins? Show Answer

Q11) If 5 kg of salt costing Rs.5/kg and 3 kg of salt costing Rs.4/kg are mixed, find the average cost of the mixture per kilogram. Show Answer

Q12) A mixture of 125 gallons of wine and water contains 20% of water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture ? Show Answer

Q13) A man purchased a cow and a calf for Rs.1300. He sold the calf at a profit of 20% and the cow at a profit of 20% and the cow at a profit of 25%. In this way, his total profit was 23 1/13%. Find the cost price of the cow. Show Answer

Q14) A cistern contains 50 liters of water. 5 liters of water is taken out of it and replaced by wine. The process is repeated again. Find the proportion of wine and water in the resulting mixture. Show Answer

Q15) In what ratio should two qualities of coffee powder having the rates of Rs.47 per kg and Rs.32 per kg be mixed in order to get a mixture that would have a rate of Rs.37 per kg ? Show Answer

Q16) A sum of Rs.36.90 is made up of 90 coins that are either 20 paise coins or 50 paise coins. Find out how many 20 paise coins are there in the total amount. Show Answer

Q17) A mixture of 20 liters of brandy and water contains 10% water. How much water must be added to it to increase the percentage of water to 25% ? Show Answer

Q18) 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 ? Show Answer

Q19) Two vessels contains 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. Show Answer

Q20) A person purchased a cupboard and a cot for Rs.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. Show Answer

Q21) 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 ? Show Answer

Q22) A mixture worth Rs.3.25 a kg is formed by mixing of two types of flour, one costing Rs.3.10 per kg while the other Rs.3.60 per kg. In what proportion must they have been mixed ? Show Answer

Q23) 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 ? Show Answer

Q24) If a man decides to travel 80 kilometers 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 have travel of foot ? Show Answer

Q25) After paying all your bills, you find that you have Rs.7.20 in your pocket. You have equal number of 50 paise and 10 paise coins; but no other coins nor any other currency notes. How many coins do you have ? Show Answer

Q26) Abdul goes to the market to buy bananas. If he can bargain and reduce the price per dozen by Rs.2, he can buy 3 dozen bananas instead of 2 dozen with the money he has. How much money does he have ? Show Answer

Q27) Two towns A and B are 100 km apart. A school is to be built for 100 students of Town B and 30 students of Town A. The expenditure on transport is Rs.1.20 per km per person. If the total expenditure on transport by all 130 students is to as small as possible, then the school should be built at Show Answer

Q28) What is the average weight of the students in group D ? Show Answer

Q29) If one student from Group A is shifted to group B, which of the following will be true ? Show Answer

Q30) If all the students of the class have the same weight then which of the following is false ? Show Answer

Q31) The total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expenses per boarder is Rs.700 when there are 25 boarders and Rs.600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders ? Show Answer

Q32) Three math classes: X, Y and Z, take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. What is the average score of classes X, Y, Z ? Show Answer

Q33) Find the ratio in which rice at Rs. 7.20 per Kg is mixed with rice at Rs. 5.70 per Kg to produce a mixture worth Rs.6.30 per Kg. Show Answer

Q34) A shopkeeper mixes two varieties of pulses to get a mixture of pulses. He uses 1 Kg and 4 Kg of pulses costing Rs. 10 and Rs. 20 per Kg respectively. What is the cost of the resultant mixture (in Rs. per Kg) Show Answer

Q35) In what ratio should two alloys with zinc and tin in the ratio 3:5 and 5:3 respectively be mixed to get an alloy containing zinc and tin in the ratio 1:1? Show Answer

Q36) A certain heart stimulants is supposed to contain 2% strychnine. It is prepared from two solutions that contain 10% and 0.1% strychnine respectively. If the amount of heart stimulant to be made is 10ml, what approximate volume (in ml) of the 0.1% solution is to be used in its preparation? Show Answer

Q37) 8 liters are drawn from a cask full of wine and replaced water. This operation is performed three more times. The ratio of the quantity of wine left in the cask to that of water is 16 :81. How much wine (in liters) did the cask hold originally? Show Answer

Q38) A vessel is filled with liquid, 3 parts of which are water and 5 parts are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture is half and half syrup? Show Answer

Q39) A container contains 40 liters of milk. From this container, 4 liters of milk were taken out and replaced by water. This process was repeated two more times. How much milk (in liters) is now contained by the container? Show Answer

Q40) A solution of ethanol is to be made from equal volumes of two existing solution . The first of these solution contains 5% ethanol and 95% impurity. If the final solution cannot more than 3% ethanol (due to safety reason), what is the minimum possible percentage of impurity in the second solution? Show Answer

Q41) A vessel is completely filled with a milk and water solution. The capacity of the vessel is 42 litres. 6 litres of this solution is replaced with pure water. The new concentration of milk in the milk and water solution is 30%. What was the concentration of milk in the original solution? Show Answer

Q42) A can contains a mixture of two liquids, A and B, in the ratio 7:5. When 9 litres of mixture are drawn off and the can be filled with liquid B, the ratio of A and B becomes 7:9. How many litres of liquid A were present in the can initially. Show Answer

Q43) A bag contain only wheat. 5 kg of sand is added to the bag. The resulting mixture has 20% sand by weight. How much sand (in Kg) must be added to the bag in order to form a mixture which has 50% wheat by weight? Show Answer

Q44) A man mixes oranges and sweet lime to make a juice. He adds 2 oranges and 3 sweet lime pieces to make the juice. Now, if he interchanged the amount of oranges and sweet lime pieces, what is the percentage increase in the concentration of oranges? Show Answer

Q45) 100 employees at Grade I in an organization have an average salary of Rs. 42 per month while 150 employees at Grade 2 in the same organization have an average salary of Rs. 36 per month. what in the average salary (in Rs.) of one employee in the organization if these are the only grades in this organization? Show Answer

Q46) A man mixes some quantity of inferior sugar at Rs. 2.4 kg with superior sugar at Rs. 4 per Kg in the ratio 1:3? At what price he should sell the rice to get a 25% profit? Show Answer

Q47) A scientist mixes 80% sulphuric acid with water to get 60% sulphuric acid. If 9 litres of 80% sulphuric acid is mixed, what was the quantity of water mixed? Show Answer

Q48) What is the actual quantity sold ? Show Answer

Q49) What is the actual price per piece ? Show Answer

Q50) In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg, so that the mixture must be worth Rs. 64.50 per kg? Show Answer

Q51) In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively to obtained a mixture worth Rs. 16.50 per kg? Show Answer

Q52) A merchant has 1000 kg of sugar part of which he sales at 8% profit and the rest at 18 % profit. He gains 14% on the whole. The quantity sold at 18% profit is Show Answer

Q53) In what ratio must rice at Rs. 7.10 be mixed with rice at Rs. 9.20 so that the mixture may be worth Rs. 8 per kg ? Show Answer

Q54) How many kg of rice at Rs. 6.60 per kg be mixed with 56 kg of rice at Rs. 9.60 per kg to get a mixture worth Rs. 8.20 per kg ? Show Answer

Q55) How many litres of water must be added to 16 litres of milk and water contains 10 % water to make at 20 % water in it ? Show Answer

Q56) We have a 630 ml of mixture of milk and water in the ratio 7 : 2. How much water must be added to make the ratio 7 : 3 ? Show Answer

Q57) 3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The percentage of alcohol in the new mixture is Show Answer

Q58) Rs. 460 was divided among 41 boys and girls such that each boy Rs. 12 and each girl got Rs. 8. What is the number of boys? Show Answer

Q59) A trader has 1600 kg of sugar. He sells a part at 8% profit and the rest at 12 % profit. If he gains 11% on the whole, find the quantity sold at 12%? Show Answer

Q60) In 40 litres of a mixture the ratio of milk to water is 7 : 1 . In order to make the ratio of milk to water 3 : 1, the quantity of water that should be added to the mixture will be Show Answer

Q61) In a mixture of milk and water the proportion of water by weight was 75%. If in 60gm of mixture 15 gm water was added, what would be the percentage of water ?(weight in gm.) Show Answer

Q62) A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Show Answer

Q63) Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety will be: Show Answer

Q64) A can contain a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially ? Show Answer

Q65) A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is : Show Answer

Q66) A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? Show Answer

Q67) How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg? Show Answer

Q68) A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? Show Answer

Q69) A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is Show Answer

Q70) In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%? Show Answer

Q71) The ratio of milk and water mixtures of 4 containers are 5 : 3, 2 : 1, 3 : 2 and 7 : 4 respectively. In which container is the quantity of milk relative to water minimum ? Show Answer

Q72) A person covers a distance of 80 km in 7 hours. He covers some distance with a speed of 8 km/hr by on foot and remaining with speed of 16 km/hr by cycle. The distance travelled by on foot is Show Answer

Q73) A mixture contains 80% acid and rest water. What part of the mixture should be removed and replaced by same amount of water to make ratio of acid and water 4 : 3 is? Show Answer

Q74) 4 L milk drawn from a container full of milk and then filled with water. This operation is performed 3 more times. Now the ratio of milk and water is 16 : 65. How much milk did the container hold initially? Show Answer

Q75) A and B are two alloys of gold and copper prepared by mixing metals in the ratio 5 : 3 and 5 : 11 respectively. Equal quantities of these alloys are melted to form a third alloy C. The ratio of gold and copper in the alloy C is Show Answer

Q76) A mixture contains wine and water in ratio 3 : 2 and another mixture contains them in the ratio 4 : 5. How many liters of the 2nd mixture must be mixed with 3 L of the former so that resulting mixture may contain equal quantity of wine and water ? Show Answer

Q77) From a container full of pure milk 20% is replaced by water and this process is repeated 3 times. At the end of third operation the quantity of pure milk reduced to Show Answer

Q78) The cost of type 1 rice is Rs. 15 per kg and type 2 rice is Rs. 20 per kg. If both type 1 and type 2 are mixed in a ratio of 2 : 3 , then the price per kg of the mixed variety of rice Show Answer