Tilak Nagar – 9311566241/Karol Bagh – 8376934681/Pitampura - 8376934648/Munirka - 9650549487

Practice Paper – IBPS PO Maths

Directions (Q. 1 – 5): What will come in place of question mark (?) in the following questions?

1. 49133

+ 349 =? ÷ 21

1) 7600 2) 7650 3) 7860 4) 7686 5) 7680

2. (23.1)² + (48.6)² - (39.8)² =? + 1147.69

1) (13.6)² 2) 12.82

3) 163.84 4)12.8 5) None of these

3. [(3 82

+ 82

) x (8 82

+ 7 82

)] - 98 = ?

1) 2 82

2) 8 82

3) 382 4) 386 5) None of these

4. 114492

× 62412

- (54)² = ?2

+ (74)²

1) 3844 2) 3721 3) 3481 4) 3638 5) None of these

5. 60 ÷ 12 × 6 =?

1) 10 2) 50 3) 30 4) 70 5) 90

Directions (Q. 6 – 10): In the following number series only one number is wrong. Find out the

wrong number

6. 7 12 40 222 1742 17390 208608 1) 7 2) 12 3) 40 4) 1742 5) 208608 7. 6 91 584 2935 11756 35277 70558 1) 91 2) 70558 3) 584 4) 2935 5) 35277 8. 9050 5675 3478 2147 1418 1077 950 1) 3478 2) 1418 3) 5673 4) 2147 5) 1077 9. 1 4 25 256 3125 46656 823543 1) 3125 2) 823543 3) 46656 4) 25 5) 256 10. 8424 4212 2106 1051 526.5 263.25 131.625 1) 131.625 2) 1051 3) 4212 4) 8424 5) 263.25 11. The ratio of the present age of Manisha and Deepali is 5 : X . Manisha is 9 years younger than Parineeta. Parineeta’s age after 9 years will be 33 years. The difference between Deepali’s and Manisha’s age is the same as the present age of Parineeta. What should come in place of X? 1) 14 2) 16 3) 15 4) Cannot be determined 5) None of these

12. In how many ways can we arrange 6 books on different subjects, in a shelf?

1) 6 2) 60 3) Infinite 4) 720 5) 120

Tilak Nagar – 9311566241/Karol Bagh – 8376934681/Pitampura - 8376934648/Munirka - 9650549487

13. Mr A is 7 times as old as his son. 10 years hence he will be 3 times as old as his son. What are

their present ages (in years)?

1) 4, 28 2) 5, 35 3) 3, 21 4) 6, 42 5) 7, 49

14. In an entrance examination, Ritu scored 56 percent marks, Smita scored 92 percent marks and

Rina scored 634 marks. The maximum marks of the examination are 875. What is the average mark

scored by all the three girls together?

1) 1929 2) 815 3) 690 4) 643 5) None of these

15. A certain sum of money doubles in 10 years at simple interest. What is the rate of interest?

1) 20% 2) 30% 3) 10% 4) 5% 5) 12%

Directions (Q. 16 – 20): Study the following graph and answer the questions that follow:

No. of students (in thousands) who opted for three different specializations during the given five years

in a university

16. Out of the total number of students who opted for the given three subjects, in the year 2009, 38%

were girls. How many boys opted for Mathematics in the same year?

1) 1322 2) 1332 3) 1312 4) Cannot be determined 5) None of these

17. If the total number of students in the university in the year 2007 was 455030, the total number of

students who opted for the given three subjects was approximately what percent of the students?

1) 19 2) 9 3) 12 4) 5 5) 23

18. What is the total number of students who opted for Hindi and Mathematics in the years 2006, 2007

and 2009 together?

1) 97000 2) 93000 3) 85000 4) 96000 5) None of these

Tilak Nagar – 9311566241/Karol Bagh – 8376934681/Pitampura - 8376934648/Munirka - 9650549487

19. The total number of students who opted for Mathematics in the years 2005 and 2008 together is

approximately what percent of the total number of students who opted for all three subjects in the same

year?

1) 38 2) 28 3) 42 4) 32 5) 48

20. What is the ratio of the number of students who opted for English in the year 2006 and 2008

together to the number of students who opted for Hindi in the year 2005 and 2009 together?

1) 11 : 5 2) 12 : 7 3) 11 : 7 4) 12 : 5 5) None of these

21. 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:

1) 50 km 2) 56 km 3) 70 km 4) 80 km 5) None of these

22. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same

distance in 12

3 hours, it must travel at a speed of:

1) 300 kmph 2) 360 kmph 3) 600 kmph 4) 720 kmph 5) None of these

23. 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?

1) 5 2) 10 3) 15 4) 20 5) None of these

24. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a

total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

1) 4 2) 5 3) 6 4) 10 5) None of these

25. The difference between simple and compound interests compounded annually on a certain sum of

money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

1) 625 2) 630 3) 640 4) 650 5) None of these

Directions (Q 26 – 30) : Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

Give answer (1) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

Give answer (2) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

Give answer (3) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

Give answer (4) if the data even in both Statements I and II together are not sufficient to answer the question.

Give answer (5) if the data in both Statements I and II together are necessary to answer the question.

Tilak Nagar – 9311566241/Karol Bagh – 8376934681/Pitampura - 8376934648/Munirka - 9650549487

26. What is Sonia's present age?

I. Sonia's present age is five times Deepak's present age.

II. Five years ago her age was twenty-five times Deepak's age at that time.

27. 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 la leak in the bottom.

28. Ravi, Gagan and Nitin are running a business firm in partnership. What is Gagan's share in the profit earned by them?

I. Ravi, Gagan and Nitin invested the amounts in the ratio of 2 : 4 : 7.

II. Nitin's share in the profit is Rs. 8750.

29. What is the number?

I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3.

II. The product of the two digit of a number is 12. The quotient of two digits is 3.

30. Is a given rectangular block, a cube?

I. At least 2 faces of the rectangular block are squares.

II. The volume of the block is 64.

31. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

1) 3

4 2)

4

7 3)

1

8 4)

3

7 5) None of these

32. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

1) 2 : 3 : 4 2) 6 : 7 : 8 3) 6 : 8 : 9 4) 4 : 3 : 2 5)None of these

33. 8 liters 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?

1) 18 liters 2) 24 liters 3) 32 liters 4) 42 liters 5) None of these

34. The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

1) 4 2) 8 3) 16 4) 12 5) None of these

Tilak Nagar – 9311566241/Karol Bagh – 8376934681/Pitampura - 8376934648/Munirka - 9650549487

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

1) 12 2) 16 3)24 4) 48 5) None of these

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?

1) Rs. 375 2) Rs. 400 3) Rs. 600 4) Rs. 800 5) None of these

37. 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:

1) 4 days 2) 6 days 3) 8 days 4) 12 days 5) None of these

38. Nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and

the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent

by them?

1) 117 2) 120 3) 100 4) 105 5) None of these

39. Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km

per hour and returns back to A with a uniform speed of 56 km per hour. Find the average speed of the

train during the whole journey.

1) 67.2 kmph 2) 65 kmph 3) 80 kmph 4) 62.2 kmph 5) None of these

40. In the new budget, the price of kerosene oil rose by 25%. By how much percent must a person

reduce his consumption so that his expenditure on it does not increase?

1) 25% 2) 33.33% 3) 20% 4) 10% 5) None of these

Directions for Q41 – 45 : Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001. Initial Strength of school in 1995 = 3000

Tilak Nagar – 9311566241/Karol Bagh – 8376934681/Pitampura - 8376934648/Munirka - 9650549487

41. The strength of school increased/decreased from 1997 to 1998 by approximately what percent? 1) 10% 2) 1.7% 3) 3% 4) 5% 5) None of these 42. The number of students studying in the school during 1999 was? 1) 3150 2) 3000 3) 3100 4) 3050 5) None of these 43. During which of the following pairs of years, the strength of the school was same? 1) 1999 & 2000 2) 2000 & 2001 3) 1996 & 2000 4) 1998 & 2000 5) None of these 44. The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001? 1) 93% 2) 93.75% 3) 94% 4) 92% 5) None of these 45. Among the given years, the largest number of students joined the school in the year? 1) 1997 2) 1998 3) 1999 4) 2001 5) 2000 46. 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 days Rachel can complete the work alone? 1) 50 days 2) 100 days 3) 150 days 4) 200 days 5) None of these 47. Two trains running at 40 km/hr and 35 km/hr start from two opposite stations and move towards each other on parallel tracks. When they meet the faster train has covered 45 km more than the slower train. Then the distance between both the stations will be? 1) 650 km 2) 675 km 3) 600 km 4) 625 km 5) None of these 48. By selling an article for Rs. 19.50 a dealer makes a profit of 30%. By how much should he increase his selling price so as to make a profit of 40%? 1) 1.5 2) 2.5 3) 0.5 4) 2 5) None of these 49. A shopkeeper purchased a chair marked at Rs. 800, at two successive discounts of 10% and 15% respectively. He spent Rs. 28 on transportation and sold the chair for Rs. 800. His gain percent is? 1) 20% 2) 25% 3) 30% 4) 33.33% 5) None of these 50. If the sum of two numbers is 42 and their product is 437, then find the absolute difference between the numbers 1) 4 2) 10 3) 6 4) 2 5) None of these

Tilak Nagar – 9311566241/Karol Bagh – 8376934681/Pitampura - 8376934648/Munirka - 9650549487

Answer Key

1. 4 11. 5 21. 1 31. 2 41. 2

2. 3 12. 4 22. 4 32. 1 42. 1

3. 3 13. 2 23. 4 33. 2 43. 3

4. 2 14. 4 24. 2 34. 2 44. 2

5. 3 15. 3 25. 1 35. 4 45. 4

6. 4 16. 4 26. 5 36. 5 46. 2

7. 3 17. 2 27. 5 37. 2 47. 2

8. 5 18. 5 28. 5 38. 1 48. 1

9. 4 19. 4 29. 3 39. 1 49. 2

10. 2 20. 1 30. 4 40. 3 50. 1