Practice Test

Q1) Divide Rs. 1870 into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal. Show Answer

Q2) Divide Rs. 500 among A, B, C and D so that A and B together get thrice as much as C and D together, B gets four times of what C gets and C gets 1.5 times as much as D. Now the value of what B gets is Show Answer

Q3) A crew can row a certain course up the stream in 84 minutes, they can row the same course down stream in 9 minutes less than they can row it in still water. How long would they take to row down with the stream. Show Answer

Q4) If 4 examiners can examine a certain number of answer books in 8 days by working 5 hours a day, for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 20 days. Show Answer

Q5) If a, b, c, d are proportional, then (a - b) (a - c)/a = Show Answer

Q6) In a mixture of 40 liters, the ratio of milk and water is 4 : 1. How much water must be added to this mixture so that the ratio of milk and water becomes 2 : 3. Show Answer

Q7) If A varies as C, and B varies as C, then which of the following is false: Show Answer

Q8) If three numbers are in the ratio of 1 : 2 : 3 and half the sum is 18, then the ratio of squares of the numbers is: Show Answer

Q9) The ratio between two numbers is 3 : 4 and their LCM is 180. The first number is: Show Answer

Q10) A and B are two alloys of argentum and brass prepared by mixing metals in proportions 7 : 2 and 1 : 11 respectively. If equal quantities of the two alloys are melted to form a third alloy C, the proportion of argenutm and brass in C will be: Show Answer

Q11) If 30 men working 7 hours a day can do a piece of work in 18 days, in how many days will 21 men working 8 hours a day do the same work? Show Answer

Q12) The incomes of A and B are in the ratio 3 : 2 and their expenditures are in the ratio 5 : 3. If each saves Rs. 1000, then A's income can be: Show Answer

Q13) Divide Rs. 680 among A, B and C such that A gets 2/3 of what B gets and B gets 1/4th of what C gets. Now the share of C is: Show Answer

Q14) A, B, C enter into a partnership. A contributes one-third of the whole capital while B contributes as much as A and C together contribute. If the profit at the end of the year is Rs. 84,000, how much would each receive? Show Answer

Q15) The students in three batches at AMS Careers are in the ratio 2:3:5. If 20 students are increased in each batch, the ratio changes to 4:5:7. The total number of students in the three batches before the increases were Show Answer

Q16) The speeds of three cars are in the ratio 2 : 3 : 4. The ratio between the times taken by these cars to travel the same distance is Show Answer

Q17) A number z lies between 0 and 1. Which of the following is true? Show Answer

Q18) Rs. 2250 is divided among three friends, Amar, Bijoy and Chandra in such a way that 1/6th of Amar's share, 1/4th of Bijoy's share and 2/5th of Chandra's share are equal. Find Amar's share. Show Answer

Q19) After an increment of 7 in both the numerator and denominator, a fraction changes to 3/4. Find the original fraction. Show Answer

Q20) The difference between two positive numbers is 10 and the ratio between them is 5 : 3. Find the product of the two numbers. Show Answer

Q21) If 30 oxen can plough 1/7th of a field in 2 days, how many days 18 oxen will take to do the remaining work? Show Answer

Q22) A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog? Show Answer

Q23) The present ratio of ages of A and B is 4 : 5. 18 years ago, this ratio was 11 : 16. Find the sum total of their present ages. Show Answer

Q24) Four numbers in the ratio 1 : 3 : 4 : 7 add up to give a sum of 105. Find the value of the biggest number. Show Answer

Q25) Three men rent a farm for Rs. 7000 per annum. A puts 110 cows in the farm for 3 months, B puts 110 cows for 6 months and C puts 440 cows for 3 months. What percentage of the total expenditure should A pay? Show Answer

Q26) 10 students can do a job in 8 days, but on the starting day, two of them informed that they are not coming. By what fraction will the number of days required for doing the whole work get increased? Show Answer

Q27) A dishonest milkman mixed 1 litre of water for every 3 litres of milk and thus made up 36 litres of milk. If he now adds 15 litres of milk to the mixture, find the ratio of milk and water in the new mixture. Show Answer

Q28) Rs. 3000 is distributed among A, B and C such that A gets 2/3rd of what B and C together get and C gets 1/2 of what A and B together get. Find C's share. Show Answer

Q29) If the ratio fo the ages of Maya and Chhaya is 6 : 5 at present, and fifteen years from now, the ratio will get changed to 9 : 8, then find Maya's present age. Show Answer

Q30) At constant temperature, pressure of a definite mass of gas is inversely proportioanl to the volume. If the pressure is reduced by 20%, find the respective change in volume. Show Answer

Q31) If Rs. 58 is divided among 150 childern such that each girl and each boy gets 25 p and 50 p respectively. Then how many girls are there? Show Answer

Q32) If 391 bananas were distributed among three monkeys in ratio 1/2:2/3:3/4, how many bananas did the first monkey get? Show Answer

Q33) A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk to water becomes 5 : 2. The quantity of milk in the mixture is: Show Answer

Q34) A beggar had ten paise, twenty paise and one rupee coins in the ratio 10 : 17 : 7 respectively at the end of day. If that day he earned a total of Rs. 57, how many twenty paise coins did he have? Show Answer

Q35) Vijay has coins of the denomination of Re. 1,50 p and 25 p in the ratio of 12 : 10 : 7. The total worth of the coins he has is Rs. 75. Find the number of 25 p coins that Vijay has Show Answer

Q36) If two numbers are in the ratio of 5 : 8 and if 9 be added to each, the ratio becomes 8 : 11. Now find the lower number. Show Answer

Q37) What number must be taken from each term of the fraction 27/35 that it may become 2 : 3? Show Answer

Q38) If x varies as y, and y = 7 when x = 18, find x when y = 21 Show Answer

Q39) A varies jointly as B and C; and A = 6 when B = 3, C = 2; find A when B = 5, C = 7. Show Answer

Q40) If x varies as y directly, and as z inversely, and x = 14 when y = 10; find z when x = 49, y = 45. Show Answer

Q41) A cask contains a mixture of 49 liters of wine and water in proportion 5 : 2. How much water must be added to it so that the ratio of wine to water may be 7 : 4? Show Answer

Q42) A cask contains 12 gallons of mixture of wind and water in the ratio 3 : 1. How much of the mixture must be drawn off and water subsituted, so that wine and water in the cask may become half and half. Show Answer

Q43) The total number of pupils in three classes of a school is 333. The number of pupils in classes I and II are in the ratio 3 : 5 and those in classes II and III are in the ratio 7 : 11. Find the number of pupils in the class that had the highest number of pupils. Show Answer

Q44) If the work done by (x - 1) men in (x + 1) days is to the work done by (x + 2) men in (x - 1) days is in the ratio 9 : 10, then the value of x is Show Answer

Q45) The duration of a railway journey varies as the distance and inversely as the velocity; the velocity varies directly as the square root of the quantity of coal used, and inversely as the number carriages in the train. In a journey of 50 km in half an hour with 18 carriages, 100 kg of coal is required. How much coal will be consumed in a journey of 42 km in 28 minutes with 16 carriages. Show Answer

Q46) The weight of a circular disc vaires as the square of the radius when the thickness remains the same; it also vaires as the thickness when the radius remains the same. Two discs have their thicknesses in the ratio of 9 : 8; the ratio of the radii if the weight of the first is twice that of the second is Show Answer

Q47) The cost of digging a pit was Rs. 1,347. How much will it cost (approximately) if the wages of workmen per day had been increased by 1/8 of the former wages and length of the working day increased by 1/20 of the former period? Show Answer

Q48) A vessel contains a liters of wine, and another vessel contains b liters of water. C liters are taken out of each vessel and transferred to the other if c x (a + b) = ab. If A and B are the respective values of the amount of wine contained in the respective containers after this operation, then what can be said about the relationship between A and B. Show Answer

Q49) If sum of the roots and the product of the roots of a quadratic equations S are in the ratio of 2 : 1, then which of the following is true? Show Answer

Q50) A factory employs skilled workers, unskilled workers and clerks in the proportion 8 : 5 : 1, and the wages of a skilled worker, an unskilled worker and a clerk are in the ratio 5 : 2 : 3. When 20 unskilled workers are employed, the total daily wages of all amount to Rs. 318. The wages paid to each category of workers are Show Answer

Q51) Brass is an alloy of copper and zinc. Bronze is an alloy containing 80% of copper, 4% of zinc and 16% of tin. A fused mass of brass and bronze is found to contain 74% of copper, 16% of zinc, and 10% of tin. The ratio of copper to zinc is Brass is: Show Answer

Q52) The Lucknow Indore Express without its rake can go 24 km an hour, and the speed is diminished by a quantity that varies as the square root of the number of wagons attached. If it is known that with four wagons its speed is 20 km/h, the greatest number of wagons with which the engine can just move is Show Answer

Q53) A contractor employs 200 men to build a bund. They finish 5/6 of the work in 10 weeks. Then rain sets in and not only does the work remain suspended for 4 weeks but also half of the work already done is washed away. After the rain, when the work is resumed, only 140 men turn up. The total time in which the contractor is able to complete the work assuming that there are no further disruptions in the schedule is Show Answer

Q54) In a journey of 48 km performed by tonga, rickshaw and cycle in that order, the distance covered by the three ways in that order are in the ratio of 8 : 1 : 3 and charges per kilometer in that order are in the ratio of 8 : 1 : 4. If the tonga charges being 24 paise per kilometer, the total cost of the journey is Show Answer

Q55) A bag contains 25 paise, 50 paise and 1 Re. coins. There are 220 coins in all and the total amount in the bag is Rs. 160. If there are thrice as many 1 Re. coins as there are 25 paise coins, then what is the number of 50 paise coins? Show Answer

Q56) What is his initial speed while swimming? Show Answer

Q57) If his speeds are in the ratio 1 : 3 : 1, with the running time remaining unchanged, what is his finishing time? Show Answer

Q58) What is Tuliram's original speed of running? Show Answer

Q59) Concentrations of three wines A, B and C are 10%, 20% and 30% respectively. They are mixed in the ratio 2 : 3 : x resulting in a 23% concentration solution. Find x. Show Answer

Q60) The cost of an article (which is composed of raw materials and wages) was 3 times the value of the raw materials used. The cost of raw material increased in the ratio 3 : 7 and wages increased in the ratio 4 : 9. Find the present cost of the article if its original cost was Rs. 18. Show Answer

Q61) In a co-educational school there are 15 more girls than boys. If the number of girls is increased by 10% and the number of boys is also increased by 16% there would be 9 more girls than boys. What is the number of students in the school? Show Answer

Q62) At IIM Bangalore class of 1995, Sonali, a first year student has taken 10 courses, earning grades A (worth 4 points each), B (worth 3 points each) and C (worth 2 points each). Her grade point average is 3.2, and if the course in which she get C's were deleted her GPA in the remaining courses would be 3.333. How many A's, B's and C"s did she get? Show Answer

Q63) Total expenses of running the hostel at Harvard Business School are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is $70 when there are 25 boarders and $60 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders? Show Answer

Q64) The speed of the engine of Gondwana Express is 42 km/h when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 km/h when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is Show Answer

Q65) How much money did the second drunkard get (in roubles)? Show Answer

Q66) How many liters of vodka was consumed in all by the four of them? Show Answer

Q67) What proportion of the fourth drunkard's drink did the second drunkard contribute? Show Answer

Q68) In Ramnagar Colony, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20% making it 35,400, what is the new ratio of school going children to non-school going children? Show Answer

Q69) A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred. Show Answer

Q70) On his deathbed, Mr. Kalu called upon his three sons and told them to distribute all his assets worth Rs. 525,000 in the ratio of 1/15 : 1/21 : 1/35 amongst themselves. Find the biggest share amongst the three portions. Show Answer

Q71) Three jackals -Paar, Maar and Taar together have 675 loaves of bread. Paar has got three times as much as Maar but 25 loaves more than Taar. How many does Taar have? Show Answer

Q72) King Sheru had ordered the distribution of apples according to the following plan : for every 20 apples the elephant gets, the zebra should get 13 apples and the deer should get 8 apples. Now his servant Shamhba jackal is in a fix. Can you help him by telling how much should he give to the elephant if there were 820 apples in total? Show Answer

Q73) In the famous Bhojpur island, there are four men for every three women and five children for every three men. How many children are there in the island if it has 531 women? Show Answer

Q74) Which of the following will have the maximum change in their values if 5 is added to both the numerator and denominator of all the fractions? Show Answer

Q75) 40 men could have finished the whole project in 28 days but due to the inclusion of a few more men, work got done in 3/4 of the time. Find out how many more men were included (in whole numbers). Show Answer

Q76) Mr. AM, the magnanimous cashier at XYZ Ltd., while distributing salary, adds whatever money is needed to make the sum a multiple of 50. He adds Rs. 10 and Rs. 40 to A's and B's salary respectively and then he realises that the salaries of A, B and C are now in the ratio 4 : 5 : 7. The salary of C could be Show Answer

Q77) A mother divided an amount of Rs. 61,000 between her two daughters aged 18 years and 16 years respectively and deposited their share in a bond. If the interest rate is 20% compounded annually and if each received the same amount as the other when she attained the age of 20 years, their shares are Show Answer

Q78) How many pens did Bobby have initially? Show Answer

Q79) How many pens did Chandana have initially? Show Answer

Q80) How many pens did Anshu have initially? Show Answer

Q81) The volume of a pyramid varies jointly as its height and the area of its base; and when the area of the base is 60 square dm and the height 14 dm, the volume is 280 cubic dm. What is the area of the base of a pyramid whose volume is 390 cubic dm and whose height is 26 dm? Show Answer

Q82) The expenses of an all boys' institute are partly constant and partly vary as the number of boys. The expenses were Rs. 10,000 for 150 boys and Rs. 8400 for 120 boys. What will be the expenses be when there are 330 boys? Show Answer

Q83) The distance of the horizon at sea varies as the square root of the height of the eye above sea-level. When the distance is 14.4 km, the height of the eye is 18 meters. Find in kilometers, the distance when the height of the eye is 8 meters. Show Answer

Q84) A mixture of cement, sand and gravel in the ratio of 1 : 2 : 4 by volume is required. A person wishes to measure out quantities by weight. He finds that the weight of one cubic foot of cement is 94 kg, of sand 100 kg and gravel 110 kg. What should be the ratio of cement, sand and gravel by weight in order to give a proper mixture? Show Answer

Q85) An alloy of gold and silver is taken in the ratio of 1 : 2, and another alloy of the same metals is taken in the ratio of 2 : 3. How many parts of the two alloys must be taken to obtain a new alloy consisting of gold and silver that are in the ratio 3 : 5? Show Answer

Q86) There are two quantities of oil, with the masses differing by 2 kg. The same quantity of heat, equal to 96 kcal, was imparted to each mass, and the larger mass of oil was found to be 4 degrees cooler than the smaller mass. Find the mass of oil in each of the two quantities. Show Answer

Q87) There are two alloys of gold and silver. In the first alloy, there is twice as much gold as silver, and in the second alloy there is 5 times less gold than silver. How many times more must be take of the second alloy than the first in order to obtain a new alloy in which there would be twice as much silver as gold? Show Answer

Q88) Calculate the weight and the percentage of zinc in the zinc-copper alloy being given that the later's alloy with 3 kg of pure zinc contains 90 per cent of zinc and with 2 kg of 90% zinc alloy contains 84% of zinc. Show Answer

Q89) Two solutions, the first of which contains 0.8 kg and the second 0.6 kg of salt, were poured together and 10 kg of a new salt solution were obtained. Find the weight of the first and of the second solution in the mixture if the first solution is known to contain 10 per cent more of salt then the second. Show Answer

Q90) From a full barrel containing 729 liters of honey we put off 'a' liter and add water to fill up the barrel. After stirring the solution thoroughly, we pour off 'a' liter of the solution and again add water to fill up the barrel. After the procedure is repeated 6 times, the solution in the barrel contains 64 liters of honey. Find a. Show Answer

Q91) In two alloys, the ratios of nickel to tin are 5 : 2 and 3 :4 (by weight). How many kilogram of the first alloy and of the second alloy should be alloyed together to obtain 28 kg of a new alloy with equal contents of nickel and tin? Show Answer

Q92) In two alloys, aluminum and iron are int the ratios of 4 : 1 and 1 : 3. After alloying together 10 kg of the first alloy, 16 kg of the second and several kilograms of pure aluminum, an alloy was obtained in which the ratio of aluminum to iron was 3 : 2. Find the weight of the new alloy. Show Answer

Q93) There are two alloys of gold, silver and platinum. The first alloy is known to contain 40 per cent of platinum and the second alloy 26 per cent of silver. The percentage of gold is the same in both alloys. Having alloyed 150 kg of the first alloy and 250 kg of the second, we get a new alloy that contains 30 per cent of gold. How many kilogram of platinum is there in the new alloy? Show Answer

Q94) Two alloys of iron have different percentage of iron in them. The first one weighs 6 kg and second one weighs 12 kg. One piece each of equal weight was cut off from both the alloys and the first piece was alloyed with the second alloy and the second piece alloyed with the first one. As a result, the percentage of iron became the same in the resulting two new alloys. What was the weight of each cut-off piece? Show Answer

Q95) Two liters of a mixture of wine and water contain 12% water. They are added to 3 liters of another mixture containing 7% water, and half a liter of water is than added to whole. What is the percentage of water in resulting concoction? Show Answer

Q96) Three vessels having volumes in the ratio of 1 : 2 : 3 are full of a mixture of coke and soda. In the first vessel, ratio of coke and soda is 2 : 3, in second, 3 : 7 and in third, 1 : 4. If the liquid in all the three vessels were mixed in a bigger container, what is the resulting ratio of coke and soda? Show Answer

Q97) Two types of tea are mixed in the ratio of 3 : 5 to produce the first quality and if they are mixed in the ratio of 2 :3, the second quality is obtained. How many kilograms of the first quantity has to be mixed with 10 kg of the second quality so that a third quality having the two varieties in the ratio of 7 : 11 may be produced? Show Answer

Q98) A toy weighing 24 grams of an alloy of two metals is worth Rs. 174, but if the weights of metals in alloy be interchanged, the toy would be worth Rs. 162. If the price of one metal be Rs. 8 per gram, find the price of the other metal in the alloy used to make the toy. Show Answer

Q99) The weight of three heaps of gold are in the ratio 5 : 6 : 7. By what fractions of themselves must the first two be increased so that the ratio of the weights may be changed to 7 : 6 : 5? Show Answer

Q100) An alloy of gold, sliver and bronze contains 90% bronze, 7% gold and 3% silver. A second alloy of bronze and silver only is melted with the first and the mixture contains 85% of bronze, 5% of gold and 10% of silver. Find the percentage of bronze in the second alloy. Show Answer

Q101) Gunpowder can be prepared by saltpetre and nitrous oxide. Price of saltpetre is thrice the price of nitrous oxide. Notorious gangster Kallu Bhai sells the gunpowder at RS. 2160 per 10 g, thereby making a profit of 20%. If the ratio of saltpetre and nitrous oxide in the mixture be 2 : 3, find the cost price of saltpetre. Show Answer

Q102) Two boxes A and B were filled with a mixture of rice and dal - in A in the ratio of 5 : 3, and in B in the ratio of 7 : 3. What quantity must be taken from the first to form a mixture that shall contain 8 kg of rice and 3 kg of dal? Show Answer

Q103) A person buys 18 local tickets for Rs. 110. Each first class ticket costs Rs. 10 and each second class ticket costs Rs. 3. What will another lot of 18 tickets in which the number of first class and second class tickets are interchanged cost? Show Answer

Q104) Two jars having a capacity of 3 and 5 liters respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 liter cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask. Show Answer

Q105) Two cubes of bronze have their total weight equivalent to 60 kg. The first piece contains 10 kg of pure zinc and the second piece contains 8 kg of pure zinc. What is the percentage of zinc in the first piece of bronze if the second piece contains 15 per cent more zine than the first? Show Answer

Q106) Sonu gets a jewellery made of an alloy of copper and silver. The alloy with a weight of 8 kg contains p per cent of copper. What piece of a copper-silver alloy containing 40 per cent of silver must be alloyed with the first piece in order to obtain a new alloy with the minimum percentage of copper if the weight of the second piece is 2 kg? Show Answer

Q107) From a vessel filled up with pure spirit to the brim, two liters of spirit was removed and 2 liters of water were added. After the solution was mixed, 2 liters of the mixture was poured off and again 2 liters of water was added. The solution was stirred again and 2 liters of the mixture was removed and 2 liters of water was added. As a result of the above operations, the volume of water in the vessel increased by 3 liters than the volume of spirit remaining in it. How many liters of spirit and water were there in the vessel after the above procedure was carried out? Show Answer

Q108) There are two qualities of milk - Amul and Sudha having different prices per liter, their volumes being 130 liters and 180 liters respectively. After equal amounts of milk was removed from both, the milk removed from Amul was added to Sudha and vice-versa. The resulting two types of milk now have the same price. Find the amount of milk drawn out from each type of milk. Show Answer

Q109) Assume that the rate of consumption of coal by a locomotive varies as the square of the speed and is 1000 kg per hour when the speed is 60 km per hour. If the coal costs the railway company Rs. 15 per 100 kg and if the other expenses of the train be Rs. 12 per hour, find a formula for the cost in paise per kilometer when the speed is S km per hour. Show Answer

Q110) The cost of a diamond varies directly as the square of its weight. A diamond fell and broke into four pieces whose weights were in the ratio 1:2:3:4. As a result the merchant had a loss of Rs. 700000. Find the original price of the diamond. Show Answer

Q111) From each of two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is five times as large as the smaller one. What is the ratio of the two number? Show Answer

Q112) A man buys spirit at Rs. 600 per liter, adds water to it and then sells it at Rs. 750 per liter. What is the ratio of the spirit's weight to the weight of the water if his profit in the deal is 37.5%? Show Answer

Q113) What was the worth of the total property? Show Answer

Q114) What was Cumar's original share? Show Answer

Q115) What was the ratio of the property owned by the widow of the three sons, in the end? Show Answer

Q116) A servant is paid Rs. 100 plus one shirt for a full year of work. He works for 6 months and gets Rs. 30 plus the shirt. What is the cost of the shirt? (in Rupees)? Show Answer

Q117) A supply of water lasts for 150 days if 12 gallons leak off every day, but only for 100 days if 15 gallons leak off daily. What is the total quantity of water in the supply? Show Answer

Q118) If a dealer were to diminish the selling price of his wares by 10% he would double his sale making the same profit as before. In what ratio would his profit diminish if he were to increase his selling price by 10% and thereby halve his sale? Show Answer

Q119) A can is full of paint. Out of this 5 liters are removed and a thinning liquid substituted. The process is repeated. Now the ratio of paint to thinner is 49 : 15. What is the full capacity of the can? Show Answer

Q120) One man can do as a woman can do in 2 days. A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of days work, what must the daily wages of a child be, if the wages are proportional to the amount of work done? Show Answer

Q121) A water tank has three taps, A, B and C. A fills four buckets in 24 mins, B fills 8 buckets in 1 hours and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 liters of water, what is the capacity of the tank? Show Answer

Q122) A man buys spirit at Rs. 60 per liter, adds water to it and then sells it at Rs. 75 per liter. What is the ratio of spirit of water if his profit in the deal is 37.5%? Show Answer

Q123) The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 15 kmph, 16, 17 kmph and 18 kmph respectively. What is the ratio of the time taken by B to that taken by D? Show Answer

Q124) A dealer buys oil at Rs. 100, Rs. 80 and Rs. 60 per liter. He mixes them in the ratio 5 : 6 : 7 by weight and sells them at a profit of 50%. At what price does he sell oil? Show Answer

Q125) In the famous Harrods museum, the value of each of a set of gold coins varies as the square of its diameter, if its thickness remains constant and it varies as the thickness, if the diameter remains constant. If the diameters of the two coins are in the 4 : 3, what should the ratio of their thickness be if the value of the first is 4 times that of the second? Show Answer

Q126) The village of Hara Kiri has two-thirds of its male population married to 90% of its women population. Each of such man is married to exactly two of such women. What is the minimum possible 4 digit population of the village (Children are not counted as part of the population unless they are married)? Show Answer

Q127) Tingal and Sagar practice in the local Gomati Nagar stadium daily. One day, they started running around the circular track simultaneously from the same point in opposite directions. Thereafter they met a total of ten times when the practice session was terminated. If they meet at a point diametrically opposite to the starting point when they meet for the second time, what could be ratio of their speed? Show Answer

Q128) Divyansh Awasthi buys some apples and Chikoos from the market at a rate such that a Chikoos is two times costlier than an apple and he sells them such that a Chikoo is sold at thrice the cost price of an apple. By selling the apple at twice its cost price, he makes 150% profit. Find the proportion of Chikoos to the apples. Show Answer

Q129) Arundhati bets a certain portion of her total money on betting. On a particular day, when she won, the betting rate was 12 : 1 (i. e. if you bet 1 rupee you stand to gain 12 rupees if you win the bet) and her total money become 8 times the initial total money. What is the proportion of her initial total money to the money she put on bet? Show Answer