# Genpact India - 100 Important Arithmetic Ability Questions

Posted on :04-02-2016

Q1. If it takes 10 days to dig a trench 100 m long, 50 m broad and 10 m deep, what length of trench, 25 m broad and 15 m deep can be dug in 30 days?

a) 400 m
b) 200 m
c) 100 m
d) 88(8/9) m

Q2. At the recent, downhill mountain bike race 4 entrants entered a challenging slalom event. Prem came first. The entrant wearing number 2 wore red. Whereas Kian did not wear yellow. The loser wore blue and Rahul wore number 1.Sanjay beat Rahul and the person who came second wore number 3.The entrant in yellow beat the entrant in green. Only one of the entrants wore the same number and the final position. Determine who finished 3rd, the number and the color they wore?

a) Rahul 1 green
b) Rahul 2 red
c) Kiran 4 blue
d) None of these

Q3. 2 friends X & Y walk from A to B at a distance of 39 miles at 3 miles/hr and 3.5 miles/hr respectively. Y reaches B, returns immediately and meets X at C. Find distance from A to C.

a) 38 km
b) 39 km
c) 35 km
d) 36 km
e) 34 km

Q4. The batting average for 40  innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is

a) 165 runs
b) 170 runs
c) 172 runs
d) 174 runs

Q5. 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) 200/7 years
b) 222/7 years
c) 225/7 years
d) None of these

Q6. 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
b) 6.5
c) 6.75
d) 7

Q7. 4 shepherds were watching over the flocks and they were commenting on how many sheep they each had. If Ram had 3 more sheep than he would have one less than Rahul. Whereas Akar has the same number as the other 3 shepherds put together. If John had 3 less sheep he would have exactly thrice the number of Ram. If they were evenly distributed if they would each have 11 sheep, how many sheep did Ram have?

a) 2
b) 3
c) 4
d) None of these

Q8. A rich aristocrat decided that he would give every man Rs.45 and every women Rs.60.Only one 9th of the man and only one twelfth of the women collected their dues. How much money that aristocrat spent if there were 3552 people in total?

a) 17760
b) 18540
c) 16320
d) 14640

Q9. 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) 35 years
b) 40 years
c) 50 years
d) None of these

Q10. A husband and wife has a combined age of 91.The husband is now twice as old as his wife was when he was as old as she is now. How old are they?

Q11. The average age of a group of 12 students is 20years. If 4 more students join the group,the average age increases by 1 year. The average age of the new student is?

Q12. The average of 6 quantities is 8. The average of 4 of them is 5. What is the average of the remaining 2 numbers?

Q13. A factory produce certain number of car a day, finds that increase in production efficiency by 12 1/2%, then they produce 20 cars per day. How many cars produced in a day when their efficiency is 20% less?

Q14. Sixty men can build a wall in 40 days. But they begin the work together,5 men quit after 10 days. The time needed to build the wall is?

Q15. A and B can do a work in 6 days.They both started the work and after three days A left the work. B finished the remaining work in 15 days. In how many days will A finish the work?

Q16. Milk contains 5% water. What quantity of pure milk should be added to 10 litres of milk to reduce this 2%?

Q17. In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?

Q18. If both the pipes are opened, how many hours will be taken to fill the tank?

I. The capacity of the tank is 400 litres.
II. The pipe A fills the tank in 4 hours.
III. The pipe B fills the tank in 6 hours.

A. Only I and II
B. Only II and III
C. All I, II and III
D. Any two of the three
E. Even with all the three statements, answer cannot be given.

Q19. How much time will the leak take to empty the full cistern?

I. The cistern is normally filled in 9 hours.
II. It takes one hour more than the usual time to fill the cistern because of leak in the bottom.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Q20. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?

Q21. Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?

Q22. A and B can do a piece of work in 21 and 24 days respectively. They started the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?

Q23. X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?

Q24. Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3rd day, how long will it take for them to complete the job?

Q25. Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?

Q26. Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?

Q27. Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

Q28. The present ages of Tim and Lee are in the ratio of 5:6 respectively. Seven years hence, the ratio of their ages will be 6:7 respectively. What is Tims present age?

a) 40 years
b) 32 years
c) 35 years
d) 34 years

Q29. Four years ago, the ratio of ages of Purple and Blue was 2:3, respectively. If the sum of their present ages is 28. Compute the ratio of their ages four years hence.

a) 1:5
b) 2:5
c) 3:5
d) 4:5

Q30. The age of a man is twice the sum of the ages of his two sons. Five years hence, his age will be 16 years more than the sum of the ages of his sons. What is the fathers present age?

a) 42 years
b) 40 years
c) 45 years

Q31. At present the sons age is same as was his fathers age at the time of his birth. If fathers age is 48. Find the sons age after 4 years from now.

a) 30 years
b) 24 years
c) 28 years

Q32. In 6 years, A will be thrice as old as B was 4 years ago. If A is now 6 years older than B, find the present age of B.

a) 16 years
b) 24 years
c) 8 years
d) 12 years

Q33. The difference between the ages of A and B is 10 years. Ten years ago, A was twice as old as B. Find the age of A, 10 years hence.

a) 20 years
b) 30 years
c) 40 years
d) 50 years

Q34. The Julies fathers age is two more than thrice Julies age. If Julie will be 15 after 4 years, what is her fathers present age?

a) 35 years
b) 33 years
c) 32 years
d) 34 years

Q35. Eight years ago, Rhea was half of Rick in age. If the ratio of their present ages is 3:4, what is the total of their present ages?

a) 25 years
b) 28 years
c) 32 years
d) 26 years

Q36. The ages of X and Y are in the ratio of 3:8 respectively and product of their ages is 384. Compute the ratio of their ages three years hence.

a) 3:5
b) 2:5
c) 3:7
d) 3:4

Q37. Rocky is 22 and his brother Ronnie is 25 years old. How many years ago was the ratio of their ages 2:5?

a) 20 years
b) 2 years
c) 10 years
d) 22 years

Q38. A year ago, the ratio of Bettys and Chis age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Betty?

a) 34 years
b) 29 yeras
c) 25 years
d) 30 years

Q39. The present ages of Lewis and Brown are in the ratio 1:2. Three years from now, the ages will be in the ratio 3:5. Find the present ages of Lewis and Brown.

Q40. At present Allen is 10 years younger than Scott. Ten years from now, Scotts age will be 3 times the present age of Allen. Find the present age of Allen and Scott.

Q41. The sum of the ages of Tony and Teddy equals thrice their mothers age. Tony is two years younger than Teddy. If the age of the mother is 42, find the ages of Tony and Teddy?

Q42. The ages of Peter, Margaret and Jack are consecutive odd numbers. The sum of the ages of Peter and Margaret equals Jacks age before 5 years. Find the ages of Peter, Margaret and Jack.

Q43. The ages of Ashley and Mary are in the ratio 4:7. The sum of their ages is 22. Find the ages of Ashley and Mary.

Q44. Nick and Kane were born on consecutive years and on same date. Nick is younger. The sum of their ages is 11. Find the age of the brothers.

Q45. Miguel is 46 years old. He is 6 years older than thrice his sons age. Find the age of his son.

Q46. Margaret is 8 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages.

Q47. The sum of present age of Abe and the age before 7 years is 31. Find the present age of Abe. What will be his age after 7 years?

Q48. Kate is 12 years old. His age is 4 times the age of Robbie. Find the age of Robbie.

Q49. Mrs. Smith is 8 years more than twice the age of his son. The ages of son is 12. Find the age of mother and find the difference between their ages.

Q50. Devon is 12 years old. His age is 2 more than half the age of Steven. Find the age of Steven.

Q51. George is 8 years more than Christopher and Ford is 2 years younger than Christopher. The sum of their ages is 60. Find the ages of George, Christopher and Ford.

Q52. Tina is 3 years younger than Tom. The ages are in the ratio 2:3. Find their ages.

Q53. Ana is 5 years more than Jack. The sum of their ages is 29. Find the ages of Ana and Jack.

Q54. Pete, Bryan and Philip are cousins. Petes age is one-third of Bryan and Philip is five years elder than Bryan. If the sum of the age of the cousins is 40, find the ages of each.

Q55. Miguel is 46 years old. He is 4 years older than thrice his sons age. Find the age of his son.

Q56. A man said to his friend, I am three times as old as my son. Five years later I shall be two and a half times as old as my son.What is my age?

Q57. Gregs father is 30 years older than Greg. In 15 years the sum of their ages will be 130. What are their current ages?

Q58. Nona is one-third as old as her mother. Five years ago, she was only one-fifth of the age of her mother. How old is Nona now?

Q59. A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age of the wife was six-sevenths that of her husbands age. Find the age of each.

Q60. Bob is one third the age of his father. In 12 years he will be half the age of his father. How old is each now?

Q61. Pol is 10 years younger than Greg. In 7 years, he will be 10 years more than one half as old as Greg. Find their age at present.

Q62. A man is 27 years older than his son and 10 years from now, he will be twice as old as his son. How old is each now?

Q63. Jason is 4 times older than Bob at present. 8 years ago Jason was 12 times older. How old are Jason & Bob?

Q64. Bob is currently twice as old as Steve. Twenty years ago Bob was 6 times as old as Steve. What are their current ages?

Q65. A persons 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) 32 years
b) 36 years
c) 40 years
d) 48 years

Q66.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) 8,20,28
b) 16,28,36
c) 20,35,45
d) None of these

Q67. The age of father 10 years ago was thrice the age of his son. Ten years hence, fathers age will be twice that of his son. The ratio of their present ages is:

a) 5:2
b) 7:3
c) 9:2
d) 13:4

Q68. One-half of Heathers age two years from now plus one-third of her age three years ago is twenty years. How old is she now?

Q69. In three more years, Miguels grandfather will be six times as old as Miguel was last year. When Miguels present age is added to his grandfathers present age, the total is 68. How old is each one now?

Q70. Johns father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages will be 58. How old is John now?

Q71. John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will be three times as old as Alice. How old is Peter now?

Q72. Five years ago, Johns age was half of the age he will be in 8 years. How old is he now?

Q73. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

a) 0
b) 1
c) 10
d) 19

Q74. A man performs 2/15 of total journey by train, 9/20 by car and the remaining 10 kms on foot. Then total journey is?

a) 30
b) 20
c) 24
d) 21
e) 23

Q75. A truck departed from city A at 11:40 am and arrived in city B, 240 miles away, at 4.28 pm on the same day. What was the approximate average speed of the truck in this trip?

a) 50 miles/hr
b) 55 miles/hr
c) 62 miles/hr
d) 60 miles/hr
e) 52 miles/hr

Q76. One of the two buses completes a journey of 300 miles in 7 1/2 hours and the other journey of 450 miles in 10 hours. What is the ratio of their average speed?

a) 2:3
b) 4:5
c) 3:4
d) 8:9
e) 5:6

Q77. Walking at 4/5 of his usual speed a man is 10 mins too late. Find his usual time.

a) 81 mins
b) 64 mins
c) 52 mins
d) 40 mins
e) None

Q78. Two trains started from the same point. At 8:00 am the first train traveled East at the rate of 80 mph. At 9:00 am, the second train traveled West at the rate of 100 mph. At what time were they 530 miles apart?

Q79. Two trains started at 10 pm, from the same point. The first train traveled North at the rate of 80 mph and the second train traveled South at the rate of 100 mph. At what time were they 450 miles apart?

Q80. Two cars started at the same time, from the same point, driving along the same road. The rate of the first car is 50 mph and the rate of the second car is 60 mph. How long will it take for the distance between the two cars to be 30 miles?

Q81. Gary started driving at 9:00 am from city A towards city B at a rate of 50 mph. At a rate that is 15 mph higher than Garys, Thomas started driving at the same time as John from city B towards city A. If Gary and Thomas crossed each other at 11 am, what is the distance between the two cities?

Q82. By Car, John traveled from city A to city B in 3 hours. At a rate that was 20 mph higher than Johns, Peter traveled the same distance in 2 hours. Find the distance between the two cities.

Q83. Two cars left, at 8 am, from the same point, one traveling east at 50 mph and the other travelling south at 60 mph. At what time will they be 300 miles apart?

Q84. Linda left home and drove for 2 hours. She stopped for lunch then drove for another 3 hours at a rate that is 10 mph higher than the rate before she had lunch. If the total distance Linda travelled is 230 miles, what was the rate before lunch?

Q85. John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?

Q86. Two trains, traveling towards each other, left from two stations that are 900 miles apart, at 4 pm. If the rate of the first train is 72 mph and the rate of the second train is 78 mph, at what time will they pass each other?

Q87. At 9 am a car (A) began a journey from a point, traveling at 40 mph. At 10 am another car (B) started traveling from the same point at 60 mph in the same direction as car (A). At what time will car B pass car A?

Q88. Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?

Q89. To qualify for a race, you need to average 60 mph driving two laps around a 1-mile long track. You have some sort of engine difficulty the first lap so that you only average 30 mph during that lap; how fast do you have to drive the second lap to average 60 for both of them?

Q90. A spike is hammered into a train rail. You are standing at the other end of the rail. You hear the sound of the hammer strike both through the air and through the rail itself. These sounds arrive at your point six seconds apart. You know that sound travels through air at 1100 feet per second and through steel at 16,500 feet per second. How far away is that spike? (Round to one decimal place.)

Q91. With the wind, an airplane travels 1120 miles in seven hours. Against the wind, it takes eight hours. Find the rate of the plane in still air and the velocity of the wind.

Q92. A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boats speed in calm water? How far did the boat travel one way?

Q93. Two cyclists start at the same time from opposite ends of a course that is 45 miles long. One cyclist is riding at 14 mph and the second cyclist is riding at 16 mph. How long after they begin will they meet?

Q94. A passenger train leaves the train depot 2 hours after a freight train left the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train, if the passenger train overtakes the freight train in three hours.

Q95. A car and a bus set out at 2 p.m. from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours, the car is 20 miles ahead of the bus. Find the rate of the car.

Q96. An executive drove from home at an average speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire distance was 150 miles; the entire trip took three hours. Find the distance from the airport to the corporate offices.

Q97. A 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up, and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?

Q98. A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.

Q99. Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?

Q100. Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?

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