**1.A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?**

A.150 metres

**2.A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:**

A.50 km/hr

**3.The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:**

A.245 m

**4.Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:**

A.3 : 2

**5.A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?**

A.240 m

**6.A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?**

A.89 sec

**7.Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:**

A.50 m

**8.A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?**

A.40 sec

**9.Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:**

A.48

**10.A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?**

A.36 sec

**11.A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?**

A.230 m

**12.A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?**

A.270 m

**13.Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:**

A.60 km/hr

**14.Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:**

A.10.8

**15.A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?**

A.6 sec

**16.A train travelling at a speed of 75 mph enters a tunnel 31/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?**

A.3 min

**17.A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:**

A.500

**18.A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?**

A.350 m

**19.A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:**

A.150 m

**20.A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?**

A.79.2 km/hr

**21.How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?**

A.30

**22.Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.**

A.24 sec

**23.Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:**

A.36

**24.Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?**

A.12

**25.A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:**

A.82 km/hr

**26.Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?**

A.27 7/9m

**27.A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:**

A.50 m

**28.A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?**

A.81 km/hr

**29.A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is**

A.400 m

**30.Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?**

A.10 a.m.

**31.Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:**

A.4 : 3

**32.A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :**

A.8/15

**33.A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:**

A.9 3/5 days

**34.A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?**

A.15 days

**35.A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:**

A.22 1/2 days

**36.A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?**

A.Rs. 400

**37.If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:**

A.4 days

**38.A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?**

A.12 hours

**39.A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:**

A.25 days

**40.A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?**

A.37 1/2

**41.A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?**

A.1:00 P.M

**42.A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?**

A.6

**43.4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?**

A.40

**44.A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?**

A.60

**45.P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?**

A.5 5/11

**46.10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?**

A.7

**47.X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?**

A.10 days

**48.A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?**

A.13 days

**49.Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?**

A.8 hours 15 minutes

**50.A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:**

A.3 3/7 days

**51.Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:**

A.16

**52.A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:**

A.6 days

**53.A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :**

A.12 days

**54.A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?**

A.18 days

**55.A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :**

A.4 days

**56.Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?**

A.4 : 3

**57.A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :**

A.8 days

**58.A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:**

A.10 days

**59.X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?**

A.13 1/3 days

**60.A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :**

A.11 days

**61.A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?**

A.60 days

**62.Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:**

A.5 5/11%

**63.The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:**

A.16

**64.If selling price is doubled, the profit triples. Find the profit percent.**

A.100

**65.In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?**

A.70%

**66.A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?**

A.5

**67.The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?**

A.Rs. 2000

**68.A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?**

A.Rs. 72

**69.A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?**

A.Rs. 1190

**70.Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?**

A.5.6

**71.Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?**

A.2 times

**72.The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?**

A.4 years

**73.A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:**

A.14 years

**74.A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?**

A.10

**75.Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?**

A.24

**76.A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:**

A.22 years

**77.Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?**

A.16 years

**78.The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:**

A.20 years

**79.At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?**

A.15 years

**80.Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?**

A.24.5 years

**81.The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).**

A.16, 28, 36

**82.Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?**

A.6 years

**83.A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?**

A.40 years

**84.Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?**

A.Data inadequate

**85.The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:**

A.7 : 3

**86.In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?**

A.6.25

**87.A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?**

A.31 5/7 years

**88.A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?**

A.Rs. 4991

**89.The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?**

A.19

**90.The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?**

A.85 kg

**91.The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?**

A.23 years

**92.The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:**

A.4000

**93.The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:**

A.40 years

**94.A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?**

A.Rs. 7.98

**95.In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?**

A.67 kg.

**96.he average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:**

A.31 kg

**97.The average weight of 16 boys in a class is 50.25 kg and that of the remaini**

A.48.55 kg

**98.A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:**

A.285

**99.If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:**

A.54.68

**100.A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:**

A.40

**101.From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?**

A.756

**102.In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?**

A.720

**103.In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?**

A.50400

**104.Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?**

A.25200

**105.In how many ways can the letters of the word 'LEADER' be arranged?**

A.360

**106.In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?**

A.209

**107.How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?**

A.20

**108.In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?**

A.11760

**109.A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?**

A.64

**110.In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?**

A.36

**111.In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?**

A.63

**112.How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?**

A.5040

**113.In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?**

A.120960

**114.In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?**

A.720

**115.Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.**

A.4

**116.The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:**

A.322

**117.Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?**

A.16

**118.Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:**

A.4

**119.The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:**

A.9600

**120.The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:**

A.111

**121.Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:**

A.40

**122.The G.C.D. of 1.08, 0.36 and 0.9 is:**

A.0.18

**123.The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:**

A.2

**124.The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:**

A.364

**125.Find the lowest common multiple of 24, 36 and 40.**

A.360

**126.The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:**

A.23

**127.The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:**

A.1683

**128.A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?**

A.46 minutes and 12 seconds

**129.The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:**

A.308

**130.What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?**

A.630

**131.The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:**

A.48

**132.The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:**

A.1015

**133.252 can be expressed as a product of primes as:**

A.2 x 2 x 3 x 3 x 7

**134.The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:**

A.35 cm

**135.Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:**

A.85

**136.Find the highest common factor of 36 and 84.**

A.12

**137.The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:**

A.548

**138.The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:**

A.127

**139.Which of the following has the most number of divisors?**

A.176

**140.The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:**

A.40

**141.The cube root of .000216 is:**

A..06

**142.The least perfect square, which is divisible by each of 21, 36 and 66 is:**

A.213444

**143.A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:**

A.77

**144.How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?**

A.10

**145.The square root of 64009 is:**

A.253

**146.3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?**

A.12

**147.Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?**

A.1800

**148.A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:**

A.42

**149.39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?**

A.13

**150.If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?**

A.48 paise

**151.In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?**

A.40

**152.A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:**

A.9

**153.If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?**

A.7

**154.A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:**

A.12.5 m

**155.In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?**

A.30

**156.An industrial loom weaves 0.128 meters of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meters of cloth?**

A.195

**157.36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?**

A.24

**158.4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?**

A.16

**159.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?**

A.1/5

**160.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 per kg will be:**

A.Rs. 175.50

**161.A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 liters of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?**

A.21

**162.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 liters of milk such that the ratio of water to milk is 3 : 5?**

A.6 litres, 6 litres

**163.In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?**

A.7 : 3

**164.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:**

A.20%

**165.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?**

A.63 kg

**166.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?**

A.29.16 litres

**167.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:**

A.2/3

**168.In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?**

A.1 : 6

**169.Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.**

A.2 : 3

**170.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%?**

A.3 : 2

**171.8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?**

A.24 litres

**172.A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:**

A.600 kg

**173.In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:**

A.Rs. 6240

**174.A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:**

A.15%

**175.Which is better investment: 11% stock at 143 or 9 3/4% stock at 117?**

A.9 3/4% stock at 117

**176.A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:**

A.Rs. 15

**177.A 6% stock yields 8%. The market value of the stock is:**

A.Rs. 75

**178.A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:**

A.Rs. 648

**179.Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:**

A.Rs. 5000

**180.A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:**

A.16 : 15

**181.By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:**

A.Rs. 96

**182.A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:**

A.8%

**183.A 12% stock yielding 10% is quoted at:**

A.Rs. 120

**184.Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?**

A.Rs. 4000

**185.The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:**

A.Rs. 400

**186.The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:**

A.4 months

**187.The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:**

A.Rs. 600

**188.The banker's discount on a sum of money for 1 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:**

A.12%

**189.The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:**

A.Rs. 1020

**190.The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:**

A.Rs. 360

**191.The certain worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is:**

A.Rs. 16

**192.The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:**

A.Rs. 37.62

**193.The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:**

A.Rs. 50

**194.The banker's gain on a certain sum due 1 1/2 years hence is 3/25 of the banker's discount. The rate percent is:**

A.9 1/11%

**195.The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is:**

A.Rs. 96

**196.The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:**

A.Rs. 108

**197.A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?**

A.7.2

**198.If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:**

A.50 km

**199.A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:**

A.120 kmph

**200.Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?**

A.10

**201.In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:**

A.1 hour

**202.A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.**

A.224 km

**203.The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:**

A.87.5 km/hr

**204.A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:**

A.71.11 km/hr

**205.In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:**

A.5 kmph

**206.Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?**

A.12 kmph

**207.It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:**

A.3 : 4

**208.A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:**

A.16 km

**209.A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:**

A.40

**210.A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:**

A.Rs. 698

**211.Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?**

A.Rs. 6400

**212.A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?**

A.Rs. 8925

**213.How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?**

A.4 years

**214.Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?**

A.6

**215.A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?**

A.6%

**216.An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:**

A.10.25%

**217.A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:**

A.10%

**218.A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?**

A.6%

**219.A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:**

A.Rs. 15,000

**220.A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:**

A.12%

**221.What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?**

A.2 : 3

**222.A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?**

A.Cannot be determined

**223.A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.**

A.Rs. 112.50

**224.A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:**

A.Rs. 1500

**225.A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.**

A.Rs. 2660

**226.A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:**

A.Rs. 14,700

**227.Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?**

A.20 : 49 : 64

**228.A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?**

A.Rs. 9000

**229.A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?**

A.6 : 10 : 5

**230.A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?**

A.Rs. 45

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