time allotted: 30 minutes no. of questions: 50 …skilltest.co.in/previouspaper/quantitative...

Time Allotted: 30 minutes No. of Questions: 50 Maximum marks: 50

Marking Pattern: The test is of 50 marks. Each question carries 1 mark. Wrong answer will fetch -1/4 of marks allotted for that question. Unattempted questions do not carry any penalty.

Direction (Q.1 to 10): Choose the correct answer (in place of?) out of the five choices given in each of the following questions.

1. 243.5 ÷ 24 = 24?

(a) 2.5 (b) 3.5 (c) 2 (d) 3 (e) None of these

2. (399.98)2 =?

(a) 160000 (b) 15999 (c) 1600 (d) 1599 (e) 16000

3.

(a) 6 (b) 50 (c) 10 (d) 125 (e) 15

4.

(a) 346 (b) 317 (c) 339 (d) 325 (e) None of these

5.


6. In a rectangle ratio of length & breadth is 5:4 and its area is 1280 sq.cm. What is the ratio breadth & area of rectangle?

(a) 1:38 (b) 1:24 (c) 1:42 (d) 1:34 (e) None of these

7. What approximate value will come in place of the question mark (?) in the following equation?

33 % of 768.9 + 25% of 161.2 – 58.12 = ?


8.

(a) 8.83 (b) 1.54 (c) 9.32 (d) 1.89 (e) None of these

9. 81.3 × 40.6 × 160.2 = 2?


10.

(a) (b) (c) (d) (e)

Direction (Q. 11 to 15): What will come in place of the question mark in the following number series?

11. 114 115 107 134 70 ?


12. 64 128 92 220 148 404 ?


13. 24 14 26 17 28 16 30

(a) 14 (b) 17 (c) 36 (d) 16 (e) 28

14. 5 6 16 57 248 1245 7506

(a) 6 (b) 16 (c) 57 (d) 248 (e) 1245

15. 3 16 113 673 3361 13441 40321

(a) 13441 (b) 673 (c) 16 (d) 3361 (e) 113

16. P, Q, R, S, and T are 5 consecutive even numbers. If the sum of P and S is 150, what is the sum of all the numbers?


17. One tenth of fourth–fifth of a number is 1000. What is the 50% of that number?


18. If then

(a) (b) (c) 2 (d) 5 (e) None of these

19. A man has Rs.728 in denomination of 2Rs. Notes, 5 Rs. Notes and 10 Rs. Notes in the ratio 3:2:4 respectively what is the total number of notes he has?


20. Find out the price at which Mahesh buy the suitcase if he bought a suitcase with 15% discount on the labeled price and he sold the suitcase with 20% profit on the labeled price for Rs.2880?

(a) Rs.2040 (b) Rs.2400 (c) Rs.2604 (d) 2640 (e) None of these

21. Find out the maximum marks obtained if Vidhi secured 50% marks in test and failed by 6 marks and Suman secured 60% marks and got 8 marks more than minimum pass marks.


22. Find out the % change that will occur in area if the length of rectangle is increase by 30% and the width is decrease by 15%


23. Find out the average speed of the car if a person covers the first 60 km of its journey in 15 minutes and the remaining 65 km in 35 minutes?

(a) 42 km/hr (b) 50 km/hr (c) 125 km/hr (d) 120 km/hr (e) None of these

24. Find out the days men would be required to do the work in 15 days if 20 men can reap 30 hectares in 30 days?


25. Find out the ratio of the height of the cone to that of the cylinder, if both of them have the same radius and the same volume.


26. What will be the age of the elder brother if the sum of the present ages of 2 brothers is 50 years and after 7 years the ratio of their ages will be 3:5?


27. Find out the approximate amount of compound interest that will be obtained at the end of 5 years if Mr. Deepak invests a sum of Rs.10000/– at the rate of 10%?


28. Find out the amount invested by Vidhi if she obtained an amount of Rs.9000/– as simple interest on a certain amount at 8% after 10 years.


29. In how many different ways can the letters of the word “TELEVISION” be arranged?


30. For the two events A and B, P (A) = 0.38, P(B) = 0.41, then the value of is


Direction (Q. 31 to 35). Answer these questions after studying the following table carefully.

Number of workers employed in six units of a factory over the years.

Unit Year P Q R S T U

2008 145 88 115 120 140 136

2009 128 76 122 112 152 132

2010 136 96 132 124 158 140

2011 183 92 125 135 166 126

2012 160 107 140 118 170 146

2013 152 110 148 128 175 150

31. In the year 2010 the number of workers employed by unit ‘R’ is what per cent of the total number of workers employed by all the units in the same year (rounded off to two places of decimal)?


32. For all the given years what is the difference between the average number of workers in units S and T?

(a) 37 (b) 33 (c) (d) (e) None of these

33. In which year percentage increase/decrease in the number of workers employed the minimum for unit ‘U’?


34. For all the given years, in which unit the average number of workers employed was the maximum?

(a) S (b) P (c) R (d) T (e) None of these

35. What is the approximate ratio of the number of workers employed in all the units in 2008 to that in 2009?

(a) 13:14 (b) 37:36 (c) 10:9 (d) 13:11 (e) 4:3

Direction (Q.36 to 40): Answer the questions after studying the following graph carefully.

Number of bikes sold by two companies A and B over the years

36. Sales of bike in the year 2001 for company A forms what per cent of total sales of Company A for all the years together? (Rounded off to two decimal points)


37. Which of the following combinations of year and percentage rise in sales of bike from the previous year for company A is correct? (Percentage rounded off to two decimal points)

(a) 2000 – 99.85 (b) 2001 – 83.33 (c) 1998 – 43.21 (d) 2003 – 7.68 (e) None of these

38. Total sales of bikes of Company B for the years 1997, 1998 and 2001 together is what percent of the total sales of bikes of company B for all the years together? (rounded off to two decimal points)


1400 1200 1000

800 600 400 200

0 1997 1998 1999 2000 2001 2002 2003

Company A Company B

Nu

mb

er o

f b

ike

s so

ld

sold

39. What is the ratio of total sales of bike of company A to the total sales of bikes of company B over the years?


40. During which year was the percentage rise/fall in sales of bikes from the previous year the highest for Company A?


Direction (Q.41 to 45): Answer the following questions after Studying the the pie–chart carefully .

Percentage of students studying different courses in a management institute

Total number of students = 4500

Ratio of men to women in each specialization

Courses Men Women

HR 2 3

Marketing 7 5

International Business 5 1

Banking 17 10

IT 1 2

Finance 5 4

Finance

11%

HR

22% IT

21%

Banking

12%

International

Business

18%

Marketing

16%

41. What is the total number of men studying in the institute?


42. The number of women studying Marketing is approximately what percent of the total number of students in the institute?

(a) 5 (b) 12 (c) 15 (d) 7 (e) 2

43. What is the total number of men studying Banking and International Business?


44. The number of women studying Finance is what percent of the number of men studying the same?


45. In which course do the maximum number of women study?

(a) HR (b) IT (c) Marketing (d) Finance (e) None of these

Directions (Q. 46-50) Study the graph carefully to answer the questions that follow.

Preferences of People (In thousands)

In Using Different Modes of Transport Over the Years

46. From 2001 to 2006, the total number of people who preferred to travel by rail, was how many thousands?


47. What is the respective ratio of the number of people preferring to travel by rail in 2006 to the number of people preferring to travel by rail in 2002?

(a) 31 : 27 (b) 31 : 23 (c) 23 : 31 (d) 27 : 31 (e) None of these

48. In the year 2003, if all the buses reduced their rates by 40% and 50% of the people who preferred to travel by rail, now preferred buses, then how many people (in thousands) prefer to travel by bus?


49. What is the respective ratio of the number of people preferring to travel bus to the number of people preferring to travel by rail in the year 2005?

(a) 29: 27 (b) 9 : 10 (c) 27 : 29 (d) 23 : 27 (e) None of these

50. In 2003, the people preferring to travel by bus represented approximately what per cent of the people preferring to travel by own vehicles, buses and rails together in the year?

(a) 46 (b) 54 (c) 22 (d) 14 (e) 37

(Answers)

1. (a)

2. (a)

3. (c)

4. (c)

5. (b)

6. (e)

7. (b)

8. (d)

9. (c)

10. (d)

11. (c)

12. (d)

13. (b)

14. (d)

15. (c)

16. (d)

17. (a)

18. (c)

19. (b)

20. (a)

21. (c)

22. (a)

23. (c)

24. (c)

25. (c)

26. (b)

27. (b)

28. (a)

29. (a)

30. (b)

31. (e)

32. (d)

33. (d)

34. (d)

35. (b)

36. (a)

37. (b)

38. (c)

39. (e)

40. (d)

41. (b)

42. (d)

43. (c)

44. (a)

45. (b)

46. (a)

47. (b)

48. (d)

49. (c)

50. (e)

Explanation:

1. 243.5 ÷ 24 = 243.5–1 = 242.5

? = 2.5

2. (399.98)2 4002 160000

3. We have

? (25 + 25) 10

4.

5.

? = 144

6. Let the length is 5x and breadth is 4x

area = (5x)(4x) = 1280

x2 = 64 x = 8

length = 40; breadth = 32

required ratio =

7. ? =

? = 256.3 + 40.3 – 58.12 = 238.18 240

8. 215.36–3.47 = 21(?)

211.89 = 21?

? = 1.89

9. 81.3 × 40.6 × 160.2

= 23(1.3) × 22(0.6) × 24(0.2)

= 2(3.9+1.2+0.8) × 25.9

= ? = 5.9

10.

11. 114 115 107 134 70 ?

+ 13 – 23 +33 –43 +53

Hence, question mark (?) will be replaced by 195.

12. 64 128 92 220 148 404 ?

See the bold part. It makes a series as follows:

64 92 148 ?

+28 +56 +112

Hence, ? will be replaced by 260.

13. Here the series consists of two series S1 and S2:

S1: 24 26 28 30

+2 +2 +2

S2: 14 15 16

+1 +1

Hence, 17 should be replaced by 15.

14. Here the series is 5 × 1 + 12 = 6;

6 × 2 + 22 = 16;

16 × 3 + 32 = 57;

57 × 4 + 42 = 244;

244 × 5 + 52 = 1245;

1245 × 6 + 62 = 7506


15. Here the series is 3 × 8 – 7 = 17

17 × 7 – 6 = 113

113 × 6 – 5 = 673

673 × 5 – 4 = 3361

3361 × 4 – 3 = 13441

13441 × 3 – 2 = 40321


16. P = P

Q = P + 2

R = P + 4

S = P + 6

and T = P + 8

According to question: P + S = 150

P + P + 6 = 150

2P = 144

P = 72

Sum of all numbers = P + Q + R + S + T = 72 + 74 + 76 + 78 + 80 = 380

17. Let the number is x

x = 12500

50% of 12500 = 6250

18. Let a = 5k, b = 10k, c = 15k

19. Let the numbers of 2 Rs. Notes, 5 Rs. Notes and 10 Rs. Notes are 3x, 2x & 4x

3x × 2 + 2x × 5 + 4x × 10 = 728

x = 13

Total number of notes = 3 × 15 + 2 × 15 + 4 × 15

= 135

20. Let labeled price be Rs. X. Then, 120% of x = 2880

C.P. = 85% of Rs.2400 = Rs. = Rs. 2040.

21. Suppose maximum marks is x

x = 140

22. Length and width be 100 cm & 100 cm respectively

Area = 10000 sq.cm.

After change length by 30% new length = 130 cm.

New width = 85 cm.

Area = 130 × 85 sq.cm.

Percentage change in area =

= 10.5%

23. Average speed =

Required average speed km/hr

24. Use formula m1w1 = m2w2

20 × 30 = m2 × 15

Required men (m2) = 40

25. Let the height of the cone be h and that of cylinder be H.

Then,

Or,

26. The age of elder brother = x

Age of younger brother = 50 – x

250 – 5x + 35 = 3x + 21

8x = 285 – 21

x = 33

27. C.I=

=

=

= = Rs. 6105 (approx.)

28. Required amount =

=

= 11250 Rs.

29. Total letters in word 10

T 1 E 2

L 1 I 2

V 1 N 1

O 1 S 1

Required no. of ways =

= 907200

30.

31. The number of workers employed by Unit R in year 2010 = 132

The number of workers employed by all the units in the same year

= 136 + 96 + 132 + 124 + 158 + 140 = 786

Hence, the required percentage

= = 16.79

32. Average number of workers in unit S

=

Average number of workers in unit T

=

Hence, required difference =

=

33. In 2009, decrease% =

In 2010, increase% =

In 2011, decrease% =

In 2012, increase% =

In 2013, increase% = (minimum)

34. The unit which shows the number of total workers the highest must have average number of workers employed maximum.

Unit: P Q R S T U

Total workers: 904 569 782 737 961 830

Hence average number of workers in Unit T is the maximum.

35. The number of workers in 2008 = 145 + 88 + 115 + 120 + 140 + 136 = 744

The number of workers in 2009 = 128 + 76 + 122 + 112 + 152 + 132 = 722

Required ratio = 744: 722 37:36

Q.36 to 40

Year Company A Company B

1997 600 700

1998 900 400

1999 300 1200

2000 600 1200

2001 1100 600

2002 1000 900

2003 1100 900

5600 5900

36. Required percentage =

37. The correct combinations should be as follows:

(i) 2000 – 100%

(ii) 1998 – 50%

(iii) 2003 – 10%

38. The required percentage =

39. The required ratio = 5600 : 5900 = 56 : 59

40. It is obvious from the graph

Q.41 to 45

Courses Total Number of

students Male Female

1. HR 990 396 594

2. Marketing 720 420 300

3. International Business 810 675 135

4. Banking 540 340 200

5. IT 945 315 630

6. Finance 495 275 220

4500 2421 2079

41. It is obvious from the chart given above.

42. The required percent =

43. The required number of men = 675 + 340 = 1015

44. The required percent

45. It is obvious from the chart given above.

time allotted: 30 minutes no. of questions: 50 …skilltest.co.in/previouspaper/quantitative...

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