AAO and AAAO MATHS TEST

Welcome to your AAO and AAAO MATHS TEST

1. The cash difference between the selling price of an article at a profit of 2% and 12% is Rs. 3. The ratio of two selling prices is:

(A) 51:56

(B) 51:53

(C) 52:53

(D) 55:56

(a)

(b)

(c)

(d)

Mr. Devesh borrowed Rs. 4,500 at 4% per annum compound interest. The compound interest compounded annually for 2 years is:
(A) Rs. 367.2
(B) Rs. 4,867.2
(C) Rs. 4,876.2
(D) Rs. 376.2

(a)

(b)

(c)

(d)

Ms. Alina borrowed Rs. 650 at 6% per annum simple interest. What amount will she pay to clear her debt after 4 years?
(A) Rs. 165
(B) Rs. 860
(C) Rs. 806
(D) Rs. 156

(a)

(b)

(c)

(d)

4. Mr. Akshar sold a bus for Rs. 20,400 with a loss of 15%. At what price should the bus be sold to get a profit of 15%?

(A) 27,400

(B) 27,300

(C) 27,500

(D) 27,600

(a)

(b)

(c)

(d)

5.Find the difference between the simple interest and the compound interest at 5% per annum for 2 years on principal of Rs. 2000.

(A) 5

(B) 10.5

(C) 4.5

(D) 5.5

(a)

(b)

(c)

(d)

6.Find the rate of interest if the amount after 2 years of simple interest on a capital of Rs. 1200 is Rs. 1440.

(A) 8%

(B) 9%

(C) 10%

(D) 11%

(a)

(b)

(c)

(d)

7. By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:

(A) Rs. 2600

(B) Rs. 2700

(C) Rs. 2800

(D) Rs. 3000

(a)

(b)

(c)

(d)

8. A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

(A) A neither losses nor gains

(B) A makes a profit of 11%

(C) A makes a profit of 20%

(D) B loses 20%

(a)

(b)

(c)

(d)

9. A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is:

(A) 21%

(B) 20%

(C) 18%

(D) 17%

(a)

(b)

(c)

(d)

10. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

(A) Rs. 45

(B) Rs. 50

(C) Rs. 55

(D) Rs. 60

(a)

(b)

(c)

(d)

11. A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:

(a)

(b)

(c)

(d)

12. A sum of Rs. 15000 amount gave Rs. 4500 as interest in 5 year. What is rate of interest?

(A).3%

(B) 4%

(C) 5%

(D) 6%

(a)

(b)

(c)

(d)

12. If the cost price of 12 oranges is equal to selling price of 10 oranges, then the percentage of profit is = ?

(A) 16%

(B) 20%

(C) 18%

(D) 25%

(a)

(b)

(c)

(d)

14. A sum of money becomes Rs. 1100 in 2 years and Rs. 1400 in 6 years at S.I. Find the rate percent.

(A) 7 17/19

(B) 1

(C) 2

(D) 5

(a)

(b)

(c)

(d)

15.What would be the C.I. on Rs. 17500 at the rate of 12 p.c.p.(A) after 2 years?

(A) Rs. 4442

(B) Rs. 4452

(C) Rs. 4462

(D) Rs. 4482

(a)

(b)

(c)

(d)

16. What is the cost of fencing a semicircular field of radius 42 metres at the rate of Rs. 2 per metre? (AAO)

(A) Rs. 240

(B) Rs. 264

(C) Rs. 420

(D) Rs. 432

(a)

(b)

(c)

(d)

17. A cube of side 6cm is painted black on two opposite sides, yellow on the other two opposite sides and red on the left over sides. It is then cut into a cube of side 2cm each. How many cubes have just one side painted?

(A) 8

(B) 6

(C) 4

(D) 10

(a)

(b)

(c)

(d)

18. A wall with dimension is to be constructed using blocks of wood having as dimension. How many blocks will be required?

(A) 5000

(B) 6600

(C) 7500

(D) 7000

(a)

(b)

(c)

(d)

19. If 18% of of a number is 54, then the number is-

(A) 464

(B) 175

(C) 280

(D) 360

(a)

(b)

(c)

(d)

20. What is the ratio of 1:4 converted to percentage?

(A) 50 %

(B) 25 %

(C) 75 %

(D) 4 %

(a)

(b)

(c)

(d)

21. In an election between two candidates, the winner got 65% of the total votes cast and won the election by a majority of 2748 votes. What is the total number of votes cast if no vote is declared invalid?

(A) 8580

(B) 8720

(C) 9000

(D) 9160

(a)

(b)

(c)

(d)

22. Narayan spends 30% of his income on education and 50% of the remaining on foo(D) He gives Rs. 1000 as monthly rent and now has Rs. 1800 left with him. What is his monthly income?

(A) Rs. 8000

(B) Rs. 7000

(C) Rs. 9000

(D) Rs. 6000

(a)

(b)

(c)

(d)

23. P is 6 times greater than Q then by what per cent is Q smaller than P?

(A) 84%

(B) 85.5%

(C) 80%

(D) 83.33%

(a)

(b)

(c)

(d)

24. The population of village is 1,00,000. The rate of increase is 10% per annum. Find the population at the start of the third year?

(A) 1,33,100

(B) 1,21,000

(C) 1,18,800

(D) 1,20,00

(a)

(b)

(c)

(d)

25. x * 12 =75% of 336.find x

(A) 27

(B) 25

(C) 21

(D) 19

(a)

(b)

(c)

(d)

26. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

(A) 16 cm

(B) 18 cm

(C) 24 cm

(D) Data inadequate

(a)

(b)

(c)

(d)

27. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206m, then its area is:

(A) 1520 m²

(B) 2420 m²

(C) 2480 m²

(D) 2520 m²

(a)

(b)

(c)

(d)

28. The sides of a triangle are consecutive integers. The perimeter of the triangle is 120 cm. Find the length of the greatest side :

(A) 39 cm

(B) 40 cm

(C) 41 cm

(D) 42 cm

(a)

(b)

(c)

(d)

29. The area of a triangle is 216 cm2 and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is :

(A) 6 cm

(B) 12 cm

(C) 36 cm

(D) 72 cm

(a)

(b)

(c)

(d)

30. Which of the following figures has the longest perimeter ?

(A) A square of side 10 cm

(B) A rectangular of sides 12 cm and 9 cm

(C) A circle of radius 7 cm

(D) A rhombus of side 9 cm

(a)

(b)

(c)

(d)

31. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

(A) 344.35 cm²

(B) 462 cm²

(C) 498.35 cm²

(D) None of these

(a)

(b)

(c)

(d)

32. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

(A) 5600

(B) 6000

(C) 6400

(D) 7200

(a)

(b)

(c)

(d)

33. The surface area of a cube is 150 cm2. Its volume is :

(A) 64 cm³

(B) 125 cm³

(C) 150 cm³

(D) 216 cm³

(a)

(b)

(c)

(d)

35. The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is :

(A) 2 : 3

(B) 4 : 9

(C) 12 : 9

(D) None of these

(a)

(b)

(c)

(d)

DIRECTIONS for questions 35-39: Refer to the pie chart given below and answer the questions that follow.

The given pie chart shows the marks scored by a student in different subjects- English, Hindi, Mathematics, Science and Social Science in an examination. The values given are in degrees.

Assumption: Total marks obtained in the examination are 900

35. If the total marks were 3000, then marks in Mathematics would be

(A) 800

(B) 750

(C) 850

(D) 900

(a)

(b)

(c)

(d)

36. The Marks scored in English and Mathematics is less than the marks scored in Science and Hindi by

(A) 5%

(B) 4.33%

(C) 3.33%

(D) 6%

(a)

(b)

(c)

(d)

37. If the marks scored by the student are 137.5, then the subject is

(A) English

(B) Hindi

(C) Mathematics

(D) Science

(a)

(b)

(c)

(d)

38. Total marks scored in Social Science and English is

(A) 400

(B) 350

(C) 500

(D) 300

(a)

(b)

(c)

(d)

39. The difference of marks scored in Social Science and Science is

(A) 37.5

(B) 40

(C) 20

(D) 15

Directions (40 – 44): Study the following bar-graph carefully and answer the questions given below:

40. In how many years was the export above average for the given period?

(A) 2 years

(B) 4 years

(C) 5 years

(D) 3 year

(a0

(b)

(c)

(d)

What was the percentage increase in export from 2006 to 2007

(a)

(b)

(c)

(d)

42. The average export of pearls for the given period (in Rs. crores) was?

(A) 8.7 crores

(B) 8.73 crores

(C) 9.73 crores

(D) 8.85 crores

(a)

(b)

(c)

(d)

43. In which of the following pairs of years was the average export of pearls around Rs. 9 crores?

(A) 2002 and 2003

(B) 2003 and 2004

(D) 2005 and 2006

(a)

(b)

(c)

(d)

44. In which year was there maximum percentage increase in export of pearls to that in the previous year?

(A) 2002

(B) 2007

(D) 2004

(a)

(b)

(c)

(d)

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

(a)

(b)

(c)

(d)

46. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

(A) Rs. 51.25

(B) Rs. 52

(C) Rs. 54.25

(D) Rs. 60

(a)

(b)

(c)

(d)

47. The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

(A) Rs. 2.50

(B) Rs. 3

(C) Rs. 3.75

(D) Rs. 4

(a)

(b)

(c)

(d)

48. A wire is looped in the form of a circle of radius 14 cm. The same wire is bent into a square form. What must be the length of the side of the square?

(A) 44 cm

(B) 66 cm

(C) 33 cm

(D) 22 cm

(a)

(b)

(c)

(d)

49. The monthly income of a person is Rs. 5000. If his income is increased by 30%, then what is his monthly income now?

(A) Rs. 7000

(B) Rs. 5500

(C) Rs. 4500

(D) Rs. 6500

(a)

(b)

(c)

(d)

50. A man losses 20% of his money. After spending 25% of the remainder, he has Rs. 480 left. What is the amount of money he originally had?

(A) Rs. 600

(B) Rs. 720

(C) Rs. 530

(D) None of these

(a)

(b)

(c)

(d)

51. The digits of a two-digit number differ by 3. If digits are interchanged and the resulting number is added to the original number, we get 121. Find the original number.

(A) 77

(B) 74

(C) 57

(D) 11

(a)

(b)

(c)

(d)

52. Seven bells ring at intervals of 2,3,4,6,8,9 and 12 min respectively. They started ringing simultaneously at 5:00 in the morning. What will be the next time they all ring simultaneously?

(A) 1:12a.m.

(B) 6;00 am

(C) 6:12a.m

(D) 7: 12a.m.

(a)

(b)

(c)

(d)

53. The smallest five-digit number which is exactly divisible by 45 is

(A) 10004

(B) 10475

(C) 10035

(D) 10045

(a)

(b)

(c)

(d)

54. The difference in the place values of both the 6’s in 964362 is

(A) 59940

(B) 599400

(C) 5994

(D) 59944

(a)

(b)

(c)

(d)

55. By which smallest number 294 should be multiplied so that resultant number is a perfect square

(A) 2

(B) 3

(C) 6

(D) 24

(a)

(b)

(c)

(d)

56. Which smallest number must be subtracted from 13218 so that the resultant is perfect square

(A) 111

(B) 222

(C) 333

(D) 444

(a)

(b)

(c)

(d)

57. The greatest among the numbers

(a)

(b)

(c)

(d)

58. (4x4x4x4x4x4)⁵X (4x4x4)⁸ (4)³= (64)^?

(A) 17

(B) 10

(C) 16

(D) 11

(a)

(b)

(c)

(d)

The value of

(a)

(b)

(c)

(d)

(A) 0.9306

(B)1.0009

(C)1.0050

(D)1

(a)

(b)

(c)

(d)

61. Out of three numbers first is twice the second and second is twice the thir(D) If the average of the three numbers is 77, the third number is

(A) 33

(B) 66

(C) 132

(D) 231

(a)

(b)

(c)

(d)

62. There was a certain average scores of 6 players in a cricket match. Seventh player scores 112 runs and their average is increased by 10. The total runs scored by six players was

(A)22

(B) 250

(C) 252

(D) 258

(a)

(b)

(c)

(d)

63. The average of eleven results is 50. If the average of the first six results is 49, and that of the last six is 52, the sixth result is?

(A) 48

(B) 50

(C) 52

(D) 56

(a)

(b)

(c)

(d)

64. The average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is

(A) 25

(B) 27

(C) 30

(D) 35

(a)

(b)

(c)

(d)

65. Mean of 10 numbers is 30. Later on it was observed that numbers 15 and 23 are wrongly taken as 51 and 32 respectively. The correct mean is

(A) 25.5

(B) 32

(C) 30

(D) 34.5

(a)

(b)

(c)

(d)

66. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

(A) 20 litres

(B) 30 litres

(C) 40 litres

(D) 60 litres

(a)

(b)

(c)

(d)

67. If 0.75 : x:: 5 : 8, then x is equal to:

(A) 1.12

(B) 1.2

(C) 1.25

(D) 1.30

(a)

(b)

(c)

(d)

68. Anaesthetics refer to
(a) the substance that cures a patient
(b) the substance that makes a patient immune to pain
(c) the system of operation
(d) one’s physical strength

(a)

(b)

(c)

(d)

69. The fourth proportional to 5, 8, 15 is:

(A) 18

(B) 24

(C) 19

(D) 20

(a)

(b)

(c)

(d)

70. Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

(A) 27

(B) 33

(C) 49

(D) 55

(a)

(b)

(c)

(d)

71. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

(A) 50

(B) 100

(C) 150

(D) 200

(a)

(b)

(c)

(d)

72. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

(A) 5 : 7 : 8

(B) 20 : 49 : 64

(C) 38 : 28 : 21

(D) None of these

(a)

(b)

(c)

(d)

73. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of (B) In what proportion should the profit at the end of one year be distributed among A, B and C?

(A) 3 : 5 : 2

(B) 3 : 5 : 5

(C) 6 : 10 : 5

(D) Data inadequate

(a)

(b)

(c)

(d)

74. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

(A) Rs. 45

(B) Rs. 50

(C) Rs. 55

(D) Rs. 60

(a)

(b)

(c)

(d)

75. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

(A) Rs. 7500

(B) Rs. 9000

(C) Rs. 9500

(D) Rs. 10,000

(a)

(b)

(c)

(d)

76. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

(A) 4 days

(B) 5 days

(C) 6 days

(D) 7 days

(a)

(b)

(c)

(d)

77. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

(A) 8 hours

(B) 10 hours

(C) 12 hours

(D) 24 hours

(a)

(b)

(c)

(d)

78. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the jo(B) In how many days, A alone can finish the remaining work?

(a)

(b)

(c)

(d)

79. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

(A) 35

(B) 40

(C) 45

(D) 50

(a)

(b)

(c)

(d)

80. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

(A) 40

(B) 50

(C) 54

(D) 60

(a)

(b)

(c)

(d)

81. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

(A) 3.6

(B) 7.2

(C) 8.4

(D) 10

(a)

(b)

(c)

(d)

82. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

(A) 220 km

(B)224 km

(C) 230 km

(D)234 km

(a)

(b)

(c)

(d)

83. A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

(A) 35.55 km/hr

(B) 36 km/hr

(C) 71.11 km/hr

(D)71 km/hr

(a)

(b)

(c)

(d)

84. A tank is filled in 5 hours by three pipes A, B and (C) The pipe C is twice as fast as B and B is twice as fast as (A) How much time will pipe A alone take to fill the tank?

(A) 20 hours

(B) 25 hours

(C) 35 hours

(D) Cannot be determined

(a)

(b)

(c)

(d)

85. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

(A) 12min

(B) 15 min

(C) 25 min

(D) 50 min

(a)

(b)

(c)

(d)

86. In how many different ways can the letter of the word ‘FINISH’ be arranged?

(A) 80

(B) 120

(C) 360

(D) 720

(a)

(b)

(c)

(d)

87. In how many different ways can the letters of the word ‘WATCH’ be arranged?

(A) 120

(B) 360

(C) 60

(D)180

(a)

(b)

(c)

(d)

88. In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand together and all the girls stand together?

(A) 75

(B) 576

(C) 288

(D) 24

(a)

(b)

(c)

(d)

89. In how many different ways can the letters of the word ‘PRAISE’ be arranged?

(A) 720

(B) 610

(C) 360

(D) 210

(a)

(b)

(c)

(d)

90. On a shelf there are 4 books on economics , 3 books on management and 4 books on statistics . In how many different ways can the book be arranged so that the books on Economics are kept together?

(A) 967680

(B)120960

(C) 5040

(D) 40320

(a)

(b)

(c)

(d)

91. The number of words which can be formed from the letters of the word ‘MAXIMUM’ , if two consonants cannot occur together is?

(A) 4!

(B) 3!x4!

(C) 7!

(D) none of these

(a)

(b)

(c)

(d)

92. In how many ways can 5 boys and 5 girls sit in a circle , so that no two boys sit together?

(A) 3870

(B) 2880

(C) 1440

(D) 1550

(a)

(b)

(c)

(d)

93. In a party of 10 persons, total number of handshakes possible is?

(A) 10

(B) 90

(D) 50

(D) 45

(a)

(b)

(c)

(d)

How many numbers of four digits can be formed with the digits 1,2,3,4 and 5? (Repetition not allowe(D)

(A) 240

(B) 120

(C) 625

(D) 450

(a)

(b)

(c)

(d)

95. In how any ways 5 girls can be seated in a row?

(A) 5

(B)10

(C) 120

(D) 240

(a)

(b)

(c)

(d)

96. The ratio of two numbers is 4:7. On subtracting 10 from each number, the ratio becomes 1:2, then the greater number is

(A) 40

(B) 70

(C) 80

(D)100

(a)

(b)

(c)

(d)

97. Largest 5 digits number which is a perfect square?

(A) 99999

(B) 99856

(C) 99225

(D) none of these

(a)

(b)

(c)

(d)

(A) 625

(B) 50

(C) 2500

(D) 1378

(a)

(b)

(c)

(d)

99. What is the least number to be added to 8200 to make it a perfect square?

(A) 81

(B) 100

(C) 264

(D) 154

(a)

(b)

(c)

(d)

100.

(A) 16

(B) 8

(C) 10

(D) 2/5

(a)

(b)

(c)

(d)

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