IBPS PO Prelims Quant MockTest-2 2016-17

1. A, B and C undertake a job for Rs 16000. A can complete the work in 4 days, B can complete the work in 8 days and C can complete the work in 16 days. With the help of a fourth man they complete the work in 2 days. Find fourth man's share ?

A. Rs 1000
B. Rs 2000
C. Rs 500
D. Rs 600
E. None of these

2. Two trains travels towards each other from stations X and Y respectively. The distance between X and Y is 260 km. If its given that the trains meet each other 2 hrs after starting from their respective stations, then find the sum of their speeds ?

A. 160
B. 260
C. 130
D. 75
E. None of these

3. How many kg of sugar at 42 paise/kg must a man mix with 25 kg of 24 paisa/kg so that on selling the mixture at 40 paise/kg he gains 25% profit ?

A. 20 kg
B. 15 kg
C. 10 kg
D. 18 kg
E. 12 kg

4. The average age of a man and his son is 30 years. The ratio of their ages is 7 : 3. What is the difference between the ages of the man and his son?

A. 24
B. 32
C. 16
D. 20
E. None of these

5. A car covers a distance of 960 km in 16 hours. What is the average speed of the train, if the speed of the train is 30% less than the speed of the car?

A. 45
B. 42
C. 50
D. 60
E. None of these

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

A. 4/7
B. 3/4
C. 4/5
D. 1/8
E. None of these

7. In simultaneous throw of two coins, the probability of getting at least one head is:

A. 1/2
B. 2/3
C. 3/4
D. 1/3
E. None of these

8. Sohan got 54 marks in Hindi, 65 marks in Science, 89 marks in Maths, 69 marks in Social Science and 68 marks in English. The maximum marks of each subject are 100. How much overall percentage of marks did he get? 

A. 74 
B. 69
C. 68
D. 72
E. None of these

9. Of the adult population in a certain city, 45% of men and 25% of women are married. If no man marries more than one woman, and vice versa, the percentage of total population of adults who are married, is:

A. 31.1%
B. 30%
C. 33.33%
D. 32.14%
E. None of these

10. In a test, A scored 10% more than B and B scored 5% more than C. If C scored 300 marks out of 400, then A’s marks are:

A. 350
B. 360
C. 310
D. 325
E. None of these

Directions(11-15): Study the pie-chart and answer the following questions.
The following pie-charts show the break-up of annual expenditures of two private-sector companies:

11. The amount spent on transport by Pam-Tech is what percentage of the amount spent by Ram-Tech on transport?

A. 30%

B. 35%

C. 40%

D. 45%

E. None of these

12. The expenditure on raw material for both companies taken together, is what fraction of the total expenditure in 2008?

A. 0.2 

B. 0.25

C. 0.3

D. 0.4

E. None of these

13. Both RamTech and PamTech spend the same amount on which category?

A. Rent

B. Transport

C. Salaries

D. Others

E. None of these

14. For which category the difference in expenditure is maximum?

A. Telephone & Electricity Bill

B. Transport

C. Salaries

D. Raw Material

E. None of these

15. The amount spent on salaries by PamTech is what percentage more than the amount spent by RamTech on trent?

A. 50%

B. 65%

C. 60%

D. 45%

E. None of these

Directions(16-20): What should come in place of the question mark in the following series:

16. 13,14,30,93, ?

A. 382
B. 376
C. 366
D. 327
E. 380

17. 9,11,16,33,98,?

A. 326
B. 336
C. 331
D. 340
E. 355

18. 8,14,25,46,82,?

A. 138
B. 153
C. 166
D. 139
E. 135

19. 8,14,25,46,82,?

A. 138
B. 153
C. 166
D. 139
E. 135

20. 14, 8, 7, 11.5, 22, ?

A. 54
B. 59
C. 56
D. 58
E. 51

21. A box contains 27 marbles some are blue and others are green. If a marble is drawn at random from the box, the probability that it is blue is 1/3. Then how many number of green marbles in the box?


A. 10
B. 15
C. 14
D. 18
E. None of these

22. An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio.


A. increases 20:21
B. decreases 21:20
C. increases 21:22
D decreases 22:21
E. None of these

23. Rs 6000 becomes Rs 7200 in 3 years at a certain rate of compound interest. What will be the amount received after 9 years? 

A. Rs 11,498
B. Rs 10,352
C. Rs 9,368
D. Rs 10,368
E. None of these

24. A pipe can fill a tank in 12 minutes and another pipe can fill it in 15 minutes, but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 min in the beginning and then third pipe is also opened. Time taken to empty the water tank is?


A. 30 mins
B. 25 mins
C. 45 mins
D. 50 mins
E. None of the Above

25. Two cars start together in the same direction from the same place. The first goes with uniform speed of 10 kmph. The second goes at a speed of 8 kmph in the first hour and increases its speed by 1/2 kmph each succeeding hours. After how many hours will the second car overtake the first, if both cars go non stop?


A. 8 hours
B. 7 hours
C. 6 hours
D. 9 hours
E. None of these

26. 1)  x² + 30x + 221 = 0
      2 ) y² – 53y + 196 = 0


A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established

27. 1) x² – 82x – 255 = 0
      2) y² – 29y + 208 = 0


A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established

28. 1) x² – 33x + 272 = 0
      2) y² – 30y + 224 = 0


A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established

29. 1) x² – 30x + 104 = 0
      2) y² – 53y + 702 = 0


A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established

30. 1) x² + 11x – 180 = 0
      2) y² + 20y + 91 = 0


A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established

Directions(31-35): What approximate value will come in the place of the question mark(?) in the following questions?(You are not expected to calculate the exact value.)

31. 1524.79 * 19.92 + 495.26 = ?

A. 31000
B. 32000
C. 33000
D. 34000
E. 36000

32. 1548.45 + 3065.15 ÷ 15.058 = ?

A. 1650
B. 1750
C. 1850
D. 1950
E. 1550

33. 25*3.25 + 50.4 ÷ 24 = ?

A. 77
B. 66
C. 55
D. 44
E. 60

34. (833.25 – 384.45) ÷ 24 = ?

A. 15.8
B. 16.5
C. 18.7
D. 17.9
E. 17.5

35. 5907 – 1296 ÷ 144 = ? * 8

A. 700.25
B. 658.25
C. 628.25
D. 737.25
E. 630.5

                                         ANSWERS

1. Let the fourth man can do the job in 'x' days.

   Togeher the fraction of work they complete in 1 day = (1/4 + 1/8 + 1/16 + 1/x) =      (7x+16)/16x

   So, they will complete the job in 16x/(7x+16) days.

   Now, according to the question,

   

   16x/(7x+16) = 2

   Solving, we get,

   x = 16 days.

   Thus fourth man's share will be = [(1/16)/(1/2)]*16000 = Rs 2000.

2. Lets assume distance travelled by X before meeting 'x'

    Then distance travelled Y will be (260-x).

   Now, for Train X, its given,

   Time = 2 hrs

   Distance = x km

   Thus, speed will be = x/2 km/hr

   Similarly for Train Y,

   Time = 2 hrs

   Distance = (260-x) km

   Thus speed will be = (260-x)/2 km/hr

Therefore the sum of the speeds of the trains will be,

    = x/2 + (260-x)/2

    = 260/2

    = 130 km/hr. 

3. Lets assume the amount to be mixed at 42 paise/kg be 'x'

    Amount of sugar at 24 paise/kg = 25 kg

Then, 

    Total cost price = Amount * Price = (x*42) + (25*24) = 42x + 600

    Total amount of sugar after mixing = (x+25) kg

    Price of mixed sugar = 40 paisa

Thus, selling price = Total amount * Price = (x+25)*40

Now profit % is 25%, so,

    25/100 = [(x+25)*40 - (42x+600)]/(42x+600)

Solving, we get,

    x = 20 kg.

4. Let the age of father and son be x and y respectively. 

    x + y = 30*2 = 60

    3x = 7y

    x = 7y/3

Putting this in above equation, we get,

    y = 18, thus x = 42

    x – y = 42 – 18 = 24.

5. Speed of train = (960/16)*(70/100) = 42 km/hr.

6. Probability = 8/14 = 4/7.

7. n(E)=HT,TH,HH

    P(E)=3/4

8. Marks in all subjects = 54 + 65 + 89 + 69 + 68 = 345 

   Total maximum marks = 5 * 100 = 500 

   Required percentage =(345/500)*100=69%   

9. Let no of men = x & total population be 100

    Total women = (100-x) 

    Married man = 45x /100    … (i) 

    & married women = 25/100 (100-x)  … (ii)

    From (i) = (ii) 

    x = 500/14

   So, married man = 225 /14

   Married woman = 225/14

   Total married population = men + women = 450/14

   Required % = (450/14)/100 *100 = 450/14% = 32.14%

10. Given, C's marks= 300

      C's % marks = 300*100/400=75%

      B 's% marks = 80%

      A 's% marks =90%

      A 's marks = 90% of 400 = 360

11. Amount spent by PamTech on transport = 5% of Rs. 80000 = Rs. 4000

      Amount spent by RamTech on transport = 10% of Rs. 100000 = Rs. 10000

      Hence, (4000 × 100)/10000 = 40%

12. (45 + 35)/ 200 = 0.4

13. Others for both the companies = Rs. 4000

14. For the category, raw material the difference is maximum 

      = 45000 – 28000 = Rs. 17000.

15. Amount spent by PamTech on salaries = 20% of Rs. 80000 = Rs. 16000

      Amount spent by RamTech on rent = 10% of Rs. 100000 = Rs. 10000

      Required % = 6000/10000*100=60% More

16. 13 * 1 + 1 = 14

      14 * 2 + 2 = 30

      30 * 3 + 3 = 93

17. 11 – 9 = 2

      16 – 11 = 5

      33 – 16 = 17;( 5 – 2 = 3; 17 – 5 = 12(3*4))….

18. 14 – 8 = 6

      25 – 14 = 11

      46 – 25 = 21; 11 – 6 = 5, 21 – 11 = 10….

  

19. 65 – 63 = 2

      74 – 70 = 4

      63 – 61 = 2…..

20. 14 * 0.5 + 1 = 8

      8 * 1 – 1 = 7

      7 * 1.5 + 1 = 11.5 

21. Lets assume no. of blue marbles is 'x'

      xc1/27c1 = 1/3

      x/27=1/3

      x= 27/3 =9

      No of green marbles = Total – (no. of blue marbles) = 27-9 = 18

22. Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y

      so total wage = 21xy initially and then 20xy

      so wages decreases and ratio = 21:20.

23. 6000[1 + r/100]^3 = 7200

      So [1 + r/100]^3 = 6/5

      So 6000[1 + r/100]^9 = 6000*(6/5)*(6/5)*(6/5) = Rs 10,368.

24. x/6 – (x+5)/12 – (x+5)/15 = 0

      x = 45 mins

25. The second car overtake the first car in x hours

      Distance covered by the first car in x hours = Distance covered by the second car         in  x hours

      10x = x/2[2a + (x-1)d] 

      10x = x/2[2*8 + (x-1)1/2] 

      x = 40 -31 = 9   

26. (x + 13) (x + 17) = 0

      x = – 13, – 17

      y² – 53y + 196 = 0

      y = 49, 4

27. x² – 82x – 255 = 0

      x = 85, -3

      y² – 29y + 208 = 0

      y = 13, 16

28. x² – 33x + 272 = 0

      x = 16, 17

      y² – 30y + 224 = 0

      y = 16, 14

29. x² – 30x + 104 = 0

      x = 26, 4

      y² – 53y + 702 = 0

      y = 26, 27 

30. x² + 11x – 180 = 0

      x = -20, 9

      y² + 20y + 91 = 0

      y = -13, -7

31. A. 31000

32. B. 1750

33. A. 77

34. C. 18.7

35. D. 737.25

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IBPS PO Prelims Quant Mock Test 2016-17

Directions (1-5): Study the given bar graph carefully to answer the questions.

The production of wheat (in tones) by different companies for three years 2013, 2014 and 2015 respective.

1. The total production of five companies in 2015 is approx. what percent of the total production by Company E and C together in 2013?
(a) 198%
(b) 256%
(c) 275%
(d) 292%
(e) 248%

2. What is the ratio of the production by Company A in the given three years to the production by Company D in the given three years?
(a) 16:25
(b) 18:25
(c) 17:25
(d) 5:12
(e) None of the above

3. For which company was the rise or fall in the production of tea from 2013 to 2014 the maximum?
(a) A
(b) B
(c) C
(d) D
(e) E

4. The production of tea of Company B in the year 2013 is approximately what percent of the total production of Company D in all the given years? (a) 36%
(b) 40%
(c) 38%
(d) 45%
(e) None of the above

5. The ratio of the average production of all companies in 2014 to the average production of 'C' in all the years is
(a) 38:37
(b) 37:35
(c) 37:39
(d) 39:37
(e) None of the above

Directions(6-10): What should come in place of the question mark(?) in the given questions.

6. 5, 30, ?, 780, 3905
(a) 150
(b) 155
(c) 175
(d) 160

7. 121, 127, ?, 154, 192
(a) 135
(b) 136
(c) 132
(d) 130

8. 24, 69, 204, 609, ?
(a) 1800
(b) 1832
(c) 1828
(d) 1824

9. 5, -4, 9, -13, 22, -35, ?
(a) 55
(b) 54
(c) -57
(d) 57

10. 5, 10, ?, 26, 37
(a) 15
(b) 16
(c) 17
(d) 18

Directions (11-15): Study the following graph to answer the given questions.

11. If the income of Company X in 1998-99 was equal to the expenditure of Company Y in 2001-2002, what was the ratio of their respective profits?
(a) 13:15
(b) 15:26
(c) 13:26
(d) Cannot be determined
(e) None of these

12. For Company X, its income in 2001-2002 was equal to its expenditure in 2002-2003, what was the ratio of its respective incomes in these two years?
(a) 4:5
(b) 3:4
(c) 2:3
(d) Cannot be determined
(e) None of these

13. For Company Y, in which year is the percent of increase in percent profit over that of previous year the highest?
(a) 2002-03
(b) 1999-2000
(c) 2001-02
(d) Cannot be determined
(e) None of these

14. In 1997-98, the expenditure of Company Y was Rs. 40 crores. What was its income in that year?
(a) Rs. 50 crore
(b) Rs. 48 crore
(c) Rs. 46 crore
(d) Cannot be determined
(e) None of these

15. What was the difference in the expenditures of the two companies in 2001-02?
(a) 10
(b) 100
(c) 1000
(d) Cannot be determined
(e) None of these

16. If i borrow money at 5 % p.a.payable yearly and lend it immediately at 7% p.a. payable half-yearly and gain thereby at the en of the year Rs 636.75, then the borrowed sum was:
(a) Rs 35,000
(b) Rs 30,000
(c) Rs 40,000
(d) Rs 45,000
(e) None of these

17. In a society of 50 members, 10 speaks both english and hindi, 15 speak both english and punjabi and 5 speak both hindi and punjabi. There are 5 members who speak all 3 languages. Then what is the probability of choosing a member who speaks only one of the languages ?
(a) 3/10
(b) 2/5
(c) 1/5
(d) 1/10
(e) None of these

18. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of number of boys to the number of girls in the class is:
(a) 1 : 2
(b) 3 : 4
(c) 3 : 5
(d) 2 : 3
(e) None of these

Directions (19-22): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer:
(a) 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 questions.
(b) 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.
(c) If the data in statement I alone or in statement II alone are not sufficient to answer the question.
(d) If the data in both the statements I and II are not sufficient to answer the question.
(e) If the data in both the statements I and II together are necessary to answer the question.

19. In how many days will five women complete a work?
I. Two women, five boys and three men together complete the work in six days.
II. Eight women complete the same work in twelve days.

20. What will be Shyam’s age after 6 years?
I. The ratio between Ram’s and Shyam’s present age is 4 : 3 respectively.
II. Ram is seven years older than Shyam.

21. What is the average speed of a car?
I. The average speed of the car is five times the average speed of a truck whereas the average speed of a bus is 45 km/hr. II. The average speed of the truck is half the average speed of a train whereas the average speed of a jeep is 40 km/hr. 17:25
(d) 5:12
(e) None of the above

22. By selling a product at 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40/-
II. The selling price is 120% of the cost price.

23. 30 women can do a work in 10 days and 45 children can do the same work in 12 days, then what is the ratio of amount of work done by 15 women in 1 day to work of 30 children in 1 day.
(a) 2:5
(b) 3:5
(c) 1:3
(d) 2:3
(e) None of these

24. In a certain gym, 20% of members are below 22 years of age. The number of students above 22 years of age is 2/3rd of the number of students of 22 years of age which is 48. What is the total number of members in the gym?
(a) 72
(b) 80
(c) 120
(d) 100
(e) None of these

25. A, B and C are in a parternship with capitals in the ratio 3:2:1. A leaves after 4 months and B leaves after 4 more months but C continues till the end of the year. If C takes an additional 10% for managing it, Then what profit % does C takes ?
(a) 37%
(b) 36%
(c) 25%
(d) 28%
(e) None of these

26. Twelve years ago A was half of B’s age. If the ratio of their present ages is 3 :5, what will be the sum of their present age?
(a) 76 years
(b) 46 years
(c) 106 years
(d) 96 years
(e) None of these

Directions (27 to 31): What approximate value should come in place of the question mark (?) in the following questions? (Note: You are not expected to calculate the exact value)

27. 25.05 * 123.95 + 388.999 * 15.001 = ?
(a) 900
(b) 8950
(c) 8935
(d) 8975
(e) 8995

28. 9999 ÷ 99 ÷ 9 = ?
(a) 10
(b) 1
(c) 6
(d) 11
(e) 20

29. 23.001 * 18.999 * 7.998 = ?
(a) 4200
(b) 3000
(c) 3500
(d) 4000
(e) 2500

30. (78700 ÷ 1748) + (3.79 * 121.24) = ?
(a) 305
(b) 415
(c) 525
(d) 635
(e) 745

31. 434.43 + 43.34 + 3.44 + 4 + 0.33 = ?
(a) 421.45
(b) 455.54
(c) 485.54
(d) 447.45
(e) 485.23

32. A alone would take 27 hrs more to complete the job than if both A and B would together. If B worked alone, he took 3 hrs more to complete the job than A and B worked together. What time, would they take if both A and B worked together ?
(a) 8 hours
(b) 10 hours
(c) 9 hours
(d) 6 hours
(e) None of these

33. Find the area of a triangle whose sides measure 14 cm, 18 cm and 24 cm.
(a) 56v5 sq cm
(b) 15v15 sq cm
(c) 25v5 sq cm
(d) 28v15 sq cm
(e) None of these

34. Rice worth Rs. 120 per kg and Rs. 130 per kg are mixed with a third variety in the ratio 1 : 1 : 3. If the mixture is worth Rs. 150 per kg, the price of the third variety per kg will be:
(a) Rs. 166.67
(b) Rs. 170.67
(c) Rs. 175.67
(d) Rs. 180.67

35. Ramesh and Suresh start from X and Y respectively with uniform velocities. Ramesh is going to Y and Suresh towards X and both cities are 600 km apart. Ramesh rests whenever Suresh is on the move and Suresh rest whenever Ramesh is on the move. The speed of Ramesh and Suresh is 25 km/h and 30 km/h respectively. If Ramesh starts first and reaches Y in 36 hours, then find the least time that Suresh would take to reach his destination after Ramesh makes a start.
(a) 36 h
(b) 44 h
(c) 20 h
(d)18 h
(e) None of these

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