Practice Test

Q1) 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

Q2) Two types of oils having the rates of Rs.4/kg and Rs.5/kg respectively are mixed in order to produce a mixture having the rate of Rs.4.60/kg. What should be the amount of the second type of oil if the amount of the first type of oil in the mixture is 40 kg ? Show Answer

Q3) How many kilograms of sugar worth Rs.3.60 per kg should be mixed with 8 kg of sugar worth Rs.4.20 per kg, such that by selling the mixture at Rs.4.40 per kg, there may be a gain of 10% ? Show Answer

Q4) 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

Q5) Ravi lends Rs.3600 on simple interest to Harsh for a period of 5 years. He lends a part of the amount at 4% interest and the rest at 6% and receives Rs.960 as the amount of interest. How much money did he lend on 4% interest rate ? Show Answer

Q6) 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examinations ? Show Answer

Q7) 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

Q8) The average salary per head of all employees of a company is Rs.600. The average salary of 120 officers is Rs.4000. If the average salary per head of of the rest of the employees is Rs.560, find the total number of workers in the company. Show Answer

Q9) A dishonest milkman purchased milk at Rs.10 per liter and mixed 5 liters of water in it. By selling the mixture at the rate of Rs.10 per liter he earns a profit of 25%. The quality of the amount of the mixture that he had was: Show Answer

Q10) 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

Q11) A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. find out how much spirit is left in the resulting mixture finally ? Show Answer

Q12) A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 liters of refined oil is finally left in the vessel, what is the capacity of the vessel ? Show Answer

Q13) 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

Q14) A thief steals four gallons of liquid soap kept in a train compartment's bathroom from a container that is full of liquid soap. He then fills it with water to avoid detection. Unable to resist the temptation he steals 4 gallons of mixture again, and fills it with water. When the liquid soap is checked at a station it is found that the ratio of the liquid soap now left in the container to that of the water in it is 36:13. What was the initial amount of the liquid soap in the container if it is known that the liquid soap is neither used near augmented by anybody else during the entire period ? Show Answer

Q15) In what ratio should water be mixed with soda costing Rs.12 per liter so as ti make profit of 25% by selling the diluted liquid at Rs.13.75 per liter ? 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 dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 25%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available. Show Answer

Q18) A mixture of 70 liters of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture ? Show Answer

Q19) 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

Q20) A merchant purchased two qualities of pulses at the rate of Rs.200 per quintal and Rs.260 per quintal. In 52 quintal of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs.300 per quintal, he gains per profit of 25% ? Show Answer

Q21) A man buys milk at Rs.8.5 per liters and dilutes it with water. He sells the mixture at the same rate and thus gains 11.11%. Find the quantity of water mixed by him in every liters of milk. Show Answer

Q22) 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

Q23) 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 second alloy so as to make a 50 kg mass containing 90% of tin ? Show Answer

Q24) 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 ? Show Answer

Q25) 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

Q26) The price of a pen and a pencil is Rs.35. The pen was sold at a 20% profit and the profit at a 10% loss. If in the transaction a man gains Rs.4, how much is cost price of the pen ? Show Answer

Q27) 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

Q28) 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 ? Show Answer

Q29) Two solutions of 90% and 97% purity are mixed resulting in 21 liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture ? Show Answer

Q30) 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

Q31) A bonus of Rs.9,85,000 was divided among 300 workers of a factory. Each male worker gets 5000 rupees and each female worker gets 2500 rupees. Find the number of male workers in the factory. Show Answer

Q32) 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 ? Show Answer

Q33) 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

Q34) A 20 percent gain is made by selling the mixture of two types of ghee at Rs.480 per kg. If the type costing 610 kg was mixed with 126 kg of the other, how many kilograms of the former was mixed ? Show Answer

Q35) 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). Show Answer

Q36) 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

Q37) A bag contains a total of 105 coins of Rs.1, 5 p and 25 p denominations. Find the total number of coins of Re 1 if there are a total of 50.5 rupees in the bag and it is known that the number of 25 paise coins are 133.33% more than the number of 1 rupee coins. Show Answer

Q38) A man possessing Rs.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 Rs.1904. Find the sum lent at 10% rates. Show Answer

Q39) 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

Q40) Two vessels contain a mixture of spirit and water. In the first vessel the ratio of spirit to water is 8:3 and in the second vessel the ratio is 5:1. A 35 liters cask is filled from these vessels so as to contain a mixture of spirit and water in the ratio of 4:1. How many liters are taken from the first vessel ? Show Answer

Q41) Rakshit bought 19 erasers for Rs.10. He paid 20 paise more for each white eraser that for each brown eraser. What could be the price of a white eraser and how many white erasers could he have bought ? Show Answer

Q42) 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

Q43) Suresh Kumar went to the market with Rs.100. If he buys three pens and six pencils he uses up all his money. On the other hand if he buys three pencils and six pens he would fall short by 20%. If he wants to buy equal number of pens and pencils, how many pencils can he buy ? Show Answer

Q44) Suresh Kumar went to the market with Rs.100. If he buys three pens and six pencils he uses up all his money. On the other hand if he buys three pencils and six pens he would fall short by 20%. What is the amount of money he would save if he were to buy 3 pens and 3 pencils ? Show Answer

Q45) 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

Q46) Two oranges, three bananas and four apples cost Rs.15. Three oranges, two bananas and one apple cost Rs.10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay ? Show Answer

Q47) John bought five mangoes and ten oranges together for forty rupees. Subsequently, he returned one mango and got two oranges in exchange. The price of an orange would be Show Answer

Q48) 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

Q49) A person who has a certain amount with him goes to the market. He can buy 50 oranges or 40 oranges. He retains 10% of the amount for taxi fare and buys 20 mangoes and of the balance he purchases oranges. Number of oranges he can purchase is Show Answer

Q50) 72 hens cost Rs._96.7_. Then what does each hen cost, where numbers at "_" are not visible or are written in illegible hand ? Show Answer

Q51) What is the average weight of the students in group D ? Show Answer

Q52) If one student from Group A is shifted to group B, which of the following will be true ? Show Answer

Q53) If all the students of the class have the same weight then which of the following is false ? Show Answer

Q54) The average marks of a student in ten papers are 80. If the highest and the lowest score are not considered the average is 81. If his highest score is 92 find the lowest. Show Answer

Q55) A shipping clerk has five boxes of different but unknown weight each weighing less than 100 kg. The clerk weights the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg. What is the weight of the heaviest box ? Show Answer

Q56) 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

Q57) A yearly payment to a servant is Rs.90 plus one turban. The servant leaves the job after 9 months and receives Rs.65 and a turban. Then find the price of the turban: Show Answer

Q58) A leather factory produces two kinds of bags, standard and deluxe. The profit margin is Rs.20 on a standard bag and Rs.30 on a deluxe bag. Every bag must be processed on machine A and on machine B. the processing times per bag on the two machines are as follows:
Time required (Hours/bag)
Machine A Machine B
Standard bag 4 6
Deluxe bag 5 10

The total time available on machine A is 700 hours and on machine B is 1250 hours. Among the following production plans, which one meets the machine availability constraints and maximizes the profit ? Show Answer

Q59) 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

Q60) Prabhat ordered 4 Arrow shirts and some additional Park Avenue shirts. The price of one Arrow shirt was twice that of one Park Avenue shirt. When the order was executed it was found that the number of the two brands had been interchanged. This increased the bill by 40%. The ratio of the number of Arrow shirts to the number of Park Avenue shirts in the original was: Show Answer

Q61) Three groups of companies: Tata, Birla and Reliance announce the average of the annual profit for all years since their establishment. The average profit of Tata is Rs.75,000 lakh. The average profit of Birla is Rs.64,000 lakh. The average profit of Reliance is Rs.73,000 lakh. The average profit of all results of Tata and Birla together is Rs.70,000 lakh. The average profit of all results of Birla and Reliance together is Rs.69,000 lakh. Approximately what is the average profit for all three group of companies ? Show Answer