# Genpact Arithmetic and Numerical Ability Questions

Posted on :04-02-2016

Q1. Square root of 64009 is equal to:

a) 803
b) 363
c) 347
d) 253

Q2. A man borrowed Rs. 800 at 10% per annum simple interest and immediately lent the whole sum at 10% per annum compound interest. What does he gain at the end of 2 years?

a) Rs. 6
b) Rs. 8
c) Rs. 10
d) Rs. 12

Q3. The population of a town has increased from 133575 to 138918. The percent increase in population is:

a) 2.5
b) 3
c) 3.5
d) 4

Q4. 5005 - 5005/10.00 = ?

a) 0.5
b) 50
c) 5000
d) 4505

Q5. On a Rs 10000 payment order, a person has a choice between 3 successive discounts of 10%, 10% and 30% and 3 successive discounts of 40%, 5% and 5%. By choosing the better offer, he can save:

a) Rs 200
b) Rs 255
c) Rs 400
d) Rs 433

Q6. If z2 + 4y2 = 4zy, then z:y is:

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

Q7. 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
b) Rs. 8
c) Rs. 8.50
d) Rs. 9

Q8. The value of 4.12 is:

a) 4(11/90)
b) 4(11/99)
c) 371/900
d) None

Q9. If a, b and g are the roots of the cubic equation (x - 1) (x2 + x + 3) = 0, then the value of (a3 + b3 + g3) is equal to:

a) -1
b) 9
c) 0
d) 3

Q10. We are given that @ (A, B) = A + B and # (A, B) = A/B
Which of the given choices is not equal to the following?
@ (@ (# (1, 2), 4), @ (4, # (2, 3)))

a) # (3, 1/7)
b) # (7, 1/3)
c) @ (7, # (2, 7))
d) @ (9, # (1, 6))

Q11. A sum of money at simple interest amounts to Rs.720 after 2 years and to Rs.1020 after a further period of 5 years. What is the sum?

Q12. The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 kmph?

Q13. A park square in shape has a 3 metre wide road inside it running along its sides. The area occupied by the road is 1764 square metres. What is the perimeter along the outer edge of the road?

Q14. A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq.ft. per day, then approximately what time will be taken by the cow to graze the whole field?

Q15. What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs.10 per square metre?

Q16. Hari invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate of 5 p.c.p.a. How much amount will Hari get on maturity of the fixed deposit?

Q17. A father is three times as old as his son. After 15 years the father will be twice as old as his sons age at that time. Hence the fathers present age is?

Q18. A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. What is the speed of the train?

Q19. A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of the journey.

Q20. If the man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.

Q21. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. What is the capacity of the tank?

Q22. A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. What was the number of days after which A left the work?

Q23. Karthik started a business investing Rs.9000. After 5 months, Shyam joined with a capital of Rs.8000. If at the end of the year, they earn a profit of Rs.6970, then what will be the share of Shyam in the profit?

Q24. Salaries of Ranjani and Sudha are in the ratio 2:3. If the salary of each in increased by Rs.4000, the new ratio becomes 40:57. What is the Sudhas present salary?

Q25. The profit earned by selling an article for Rs.832 is equal to the loss incurred when the same article is sold for Rs.448. What should be the sale price for making 50% profit?

Q26. Pranav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs.18400, how much money does he save every month?

Q27. The difference between the ages of two person is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. What is the present age of the elder person?

Q28. Present ages of Abi and Suji are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Sujis present age in years?

Q29. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. What is his new average?

Q30. From a group of boys and girls 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning.

Q31. Two pipes A and B can fill a tank in 36 min and 45 min respectively. A water pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. In how much time, the tank is full?

Q32. A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?

Q33. A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost of the article.

Q34. Kumar spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Find the percentage increase in his savings.

Q35. A pupils 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) 10
b) 20
c) 40
d) 73

Q36. 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) 53.33
b) 54.68
c) 55
d) None of these

Q37. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

a) 47.55 kg
b) 48 kg
c) 48.55 kg
d) 49.25 kg

Q38. The 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 what is the weight of B?

a) 17 kg
b) 20 kg
c) 26 kg
d) 31 kg

Q39. In Aruns opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Aruns weight is greater than 60 kg but less than 70 kg. His mothers view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?

a) 67 kg.
b) 68 kg.
c) 69 kg.
e) None of these

Q40. 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
b) Rs. 8
c) Rs. 8.50
d) Rs. 9

Q41. 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

Q42. 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

Q43. 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
b) Rs. 5991
c) Rs. 6001
d) Rs. 6991

Q44. 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

Q45. 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

Q46. Suresh borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?

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