Free Printable Deloitte (Aptitude Test)

1.

Look at this series: 2, 1, (1/2), (1/4), …What number should come next?

a)

1/3

b)

1/8

c)

2/8

d)

1/16

2.

Look at this series: 2, 9, 28, 65,…. What number should come next?

a)

126

b)

125

c)

92

d)

67

3.

Look at this series: 6, 11, 8, 13, 10…. What number should come next?

a)

14

b)

15

c)

16

d)

13

4.

Fill the blank in the series: REF, SGH, -------, VKL.

a)

XJK

b)

TIJ

c)

YKL

d)

MNO

5.

Fill the blank in the series: KDL, LDK, MDN, NDM, -------,

a)

PDC

b)

ODP

c)

PDO

d)

NDP

6.

Choose the one which can be substituted for the given sentence: Extreme old age when a man behaves like a fool.

a)

a. Superannuation

b)

b. Dotage

c)

c. Senility

d)

d. Imbecility

7.

Choose the one which can be substituted for the given sentence: A person of good understanding knowledge and reasoning power.

a)

a. Intellectual

b)

b. Expert

c)

c. Literate

d)

d. Snob

8.

Choose the one which can be substituted for the given sentence: State in which the few govern the many.

a)

a. Monarchy

b)

b. Plutocracy

c)

c. Autocracy

d)

d. Oligarchy

9.

Statements:

I. The prices of petrol and diesel in the domestic market have remained unchanged for the past few months.

II. The crude oil prices in the international market have gone up substantially in the last few months.

a)

a. Statement I is the cause and statement II is its effect.

b)

b. Statement II is the cause and statement I is its effect.

c)

c. Both statements I and II are independent causes.

d)

d. Both statements I and II are effects of independent causes.

10.

Statements:

I. The government has recently fixed the fees for professional courses offered by the unaided institutions which are much lower than the fees charged last year.

II. The parents of the aspiring students launched a severe agitation last year protesting against the high fees charged by the unaided institutions.

a)

a. Statement I is the cause and statement II is its effect.

b)

b. Statement II is the cause and statement I is its effect.

c)

c. Both statements I and II are independent causes.

d)

d. Both statements I and II are effects of some common cause

11.

Statements: No women teacher can play. Some women teachers are athletes.

Conclusions:

I. Male athletes can play.

II. Some athletes can play.

a)

a. Only conclusion I follows.

b)

b. Only conclusion II follows.

c)

c. Either I or II follows

d)

d. Neither I nor II follows.

12.

Statements: All bags are cakes. All lamps are cakes.

Conclusions:

I. Some lamps are bags.

II. No lamp is a bag.

a)

a. Only conclusion I follows.

b)

b. Only conclusion II follows.

c)

c. Either I or II follows.

d)

d. Neither I nor II follows

13.

Tanya is older than Eric.

Cliff is older than Tanya.

Eric is older than Cliff.

If the first two statements are true, the third statement is

a)

TRUE

b)

FALSE

c)

UNCERTAIN

14.

A fruit basket contains more apples than lemons.

There are more lemons in the basket than there are oranges.

The basket contains more apples than oranges.

If the first two statements are true, the third statement is

a)

TRUE

b)

FALSE

c)

UNCERTAIN

15.

Which word does NOT belong with the others?

a)

a. Parsley

b)

b. Basil.

c)

c. Dill.

d)

d. Mayonnaise.

16.

Which word does NOT belong with the others?

a)

a. Inch

b)

b. Ounce

c)

c. Centimeter

d)

d. Yard

17.

Here are some words translated from an artificial language.

gorblflur means fan

beltpixngorbl means ceiling

fanarthtusl means tile roof

Which word could mean "ceiling tile"?

a)

a. gorbltusl

b)

b. flurgorbl

c)

c. arthflur

d)

d. pixnarth

18.

Here are some words translated from an artificial language.

hapllesh means cloudburst

srenchoch means pinball

resbosrench means ninepin

Which word could mean "cloud nine"?

a)

a. leshsrench

b)

b. ochhapl

c)

c. haploch

d)

d. haplresbo

19.

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

a)

a. 16

b)

b. 17

c)

c. 18

d)

d. 25

20.

The cost price of 3 units is equal to the selling price of 2 units. What is the profit as a percentage of cost price?

a)

a. 25%

b)

b. 40%

c)

c. 45%

d)

d. 50%

21.

If the profit is 25% of the cost price, what is the profit as a percentage of the selling price?

a)

a. 10%

b)

b. 15%

c)

c. 20%

d)

d. 30%

22.

If the selling price is doubled, the profit triples. What is the profit as a percentage of cost price?

a)

a. 60%

b)

b. 70%

c)

c. 100%

d)

d. 120%

23.

Ram secured 49% marks in an examination. His score was 294. His sister secured 372 marks in the same examination. What is Ram’s sister's score in percent?

a)

a. 72%

b)

b. 62%

c)

c. 58%

d)

d. 64%

24.

If 16 persons shake hands with each other, how many shake hands will be there?

a)

a. 130

b)

b. 120

c)

c. 80

d)

d. 100

25.

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

a)

a. 3

b)

b. 4

c)

c. 5

d)

d. 6

26.

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

a)

a. 30%

b)

b. 70%

c)

c. 100%

d)

d. 250%

27.

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

a)

a. Rs. 2000

b)

b. Rs. 2200

c)

c. Rs. 2400

d)

d. Data inadequate

28.

A shopkeeper expects a gain of 30% on his cost price. If in a week, his sale was of Rs. 390, what was his profit?

a)

a. Rs. 100

b)

b. Rs. 180

c)

c. Rs. 90

d)

d. Rs. 80

29.

A man buys a cycle for Rs. 1800 and sells it at a loss of 10%. What is the selling price of the cycle?

a)

a. Rs. 1700

b)

b. Rs. 1620

c)

c. Rs. 1520

d)

d. Rs. 1800

30.

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

a)

a. 30%

b)

b. 42%

c)

c. 44%

d)

d. 46%

31.

A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

a)

a. 40%

b)

b. 45%

c)

c. 50%

d)

d. 60%

32.

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

a)

a. 39, 30

b)

b. 41, 32

c)

c. 42, 33

d)

d. 43, 34

33.

A fruit seller had some apples. He sells 70% apples and still has 390 apples. Originally, he had:

a)

a. 1000 apples

b)

b. 1200 apples

c)

c. 1400 apples

d)

d. 1300 apples

34.

What percentage of numbers from 1 to 70 have 2 or 8 in the unit's digit?

a)

a. 16%

b)

b. 18%

c)

c. 20%

d)

d. 22%

35.

If 20% of a = b, then b% of 20 is the same as:

a)

a. 5% of a.

b)

b. 4% of a

c)

c. 6% of a

d)

d. 10% of a

36.

It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

a)

a. Saturday

b)

b. Monday

c)

c. Friday

d)

d. Wednesday

37.

Today is Monday. After 61 days, it will be:

a)

a. Tuesday

b)

b. Thursday

c)

c. Friday

d)

d. Saturday

38.

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

a)

a. 120 metres

b)

b. 150 metres

c)

c. 180 metres

d)

d. 210 metres

39.

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

a)

a. 60 km/hr

b)

b. 45 km/hr

c)

c. 50 km/hr

d)

d. 70 km/hr

40.

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

a)

a. 200 metres

b)

b. 245 metres

c)

c. 235 metres

d)

d. 250 metres

41.

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

a)

a. 3:2

b)

b. 4:1

c)

c. 3:1

d)

d. 5:2

42.

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

a)

a. 180 metres

b)

b. 200 metres

c)

c. 240 metres

d)

d. 280 metres

43.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

a)

a. 1/5

b)

b. 2/5

c)

c. 7/15

d)

d. 8/15

44.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

a)

a. 10 days

b)

b. 20 days

c)

c. 15 days

d)

d. 18 days

45.

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?

a)

a. Rs. 300

b)

b. Rs. 400

c)

c. Rs. 450

d)

d. Rs. 500

46.

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)

a. 7 days

b)

b. 5 days

c)

c. 8 days

d)

d. 4 days

47.

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:

a)

a. Rs. 625

b)

b. Rs. 650

c)

c. Rs. 620

d)

d. Rs. 600

48.

What is the equivalent rate of interest per annum, compounded annually for the rate of interest of 12% per annum, compounded semi-annually?

a)

a. 11.36%

b)

b. 13.36%

c)

c. 12.36%

d)

d. 13%

49.

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 10,000 after 3 years at the same rate?

a)

a. Rs. 3310

b)

b. Rs. 3320

c)

c. Rs. 3330

d)

d. Rs. 3340

50.

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

a)

a. 5 years

b)

b. 3 years

c)

c. 4 years

d)

d. 6 years

51.

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

a)

a. 3:5

b)

b. 4:5

c)

c. 6:7

d)

d. 7:8

52.

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

a)

a. Rs. 500

b)

b. Rs. 1000

c)

c. Rs. 2000

d)

d. Rs. 4000

53.

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?

a)

a. 2:3:4

b)

b. 3:4:5

c)

c. 4:5:6

d)

d. 5:6:7

54.

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)

a. 50 litres

b)

b. 70 litres

c)

c. 80 litres

d)

d. 60 litres

55.

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

a)

a. 21:22

b)

b. 22:23

c)

c. 23:24

d)

d. 24:25

56.

The cube root of 0.000216 is:

a)

a. 0.6

b)

b. 0.06

c)

c. 0.006

d)

d. 0.0006

57.

The value of 100²- 99² is

a)

a. 1

b)

b. 199

c)

c. 299

d)

d. 390

58.

$\frac{x}{\sqrt{128}}=\ \frac{\sqrt{162}}{x}$ What is the value of x in the equation

a)

a. 15

b)

b. 14

c)

c. 13

d)

d. 12

59.

$\sqrt{4a^2\ +\ 4a\ +\ 1+\ a}$

If a = 2, then the value of the above eqaution is equal to:

a)

a. 5

b)

b. 6

c)

c. 7

d)

d. 8

60.

If x + y =3 and ,xy = 2 then value of x²+ y² is equal to:

a)

a. 4

b)

b. 5

c)

c. 3

d)

d. 6

61.

$\left(7+3\sqrt{5}\right)\left(7\ -\ 3\sqrt{5}\right)$ The square root of the given equation is equal to

a)

a. 4

b)

b. 1

c)

c. 2

d)

d. 8

62.

62. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

a)

a. 7

b)

b. 5

c)

c. 4

d)

d. 2

63.

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

a)

a. 14

b)

b. 15

c)

c. 16

d)

d. 18

64.

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

a)

a. 9

b)

b. 10

c)

c. 11

d)

d. 12

65.

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

a)

a. 21

b)

b. 22

c)

c. 23

d)

d. 24

66.

66. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

a)

a. 1,53,600 sqm

b)

b. 58,000 sqm

c)

c. 72,000 sqm

d)

d. 80,000 sqm

67.

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

a)

a. 2%

b)

b. 3%

c)

c. 2.2%

d)

d. 4.04%

68.

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)

a. 16

b)

b. 17

c)

c. 18

d)

d. 19

69.

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

a)

a. 40%

b)

b. 44%

c)

c. 45%

d)

d. 30%

70.

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

a)

a. 25%

b)

b. 26%

c)

c. 28%

d)

d. 30%

71.

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)

a. 3991

b)

b. 4991

c)

c. 5991

d)

d. 6991

72.

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

a)

a. 0

b)

b. 1

c)

c. 5

d)

d. 19

73.

The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

a)

a. 78 kg

b)

b. 84 kg

c)

c. 85 kg

d)

d. 89 kg

74.

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

a)

a. Rs. 4000

b)

b. Rs. 5000

c)

c. Rs. 6000

d)

d. Rs. 7000

75.

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)

a. 30 years

b)

b. 35 years

c)

c. 40 years

d)

d. 45 years

76.

$\left(\frac{a}{b}\right)^{x-1}=\left(\frac{b}{a}\right)^{x-3}$ If this is the equation, then what is the value of x:

a)

a. 1

b)

b. 2

c)

c. 3

d)

d. 4

77.

If 5^a = 3125, then the value of 5^(a-3) is equal to:

a)

a. 122

b)

b. 15

c)

c. 625

d)

d. 25

78.

If 3^(x-y)=27 and, 3^(x+y)=243 then the value of x is equal to:

a)

a. 2

b)

b. 3

c)

c. 4

d)

d. 5

79.

What is the value of (625)^0.08* (625)^0.17?

a)

a. 15

b)

b. 25

c)

c. 5

d)

d. 35

80.

What is the value of { 20⁵⁰- 20⁴⁶} ?

a)

a. 1,60,000

b)

b. 80,000

c)

c. 40,000

d)

d. 3,20,000

81.

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

a)

a. 36

b)

b. 54

c)

c. 48

d)

d. 57

82.

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

a)

a. 12

b)

b. 13

c)

c. 14

d)

d. 15

83.

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

a)

a. 4

b)

b. 5

c)

c. 6

d)

d. 7

84.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

a)

a. 21

b)

b. 22

c)

c. 23

d)

d. 24

85.

The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

a)

a. 19

b)

b. 20

c)

c. 30

d)

d. 40

86.

Find the odd man out in the series: 27, 64, 100, 125, 216, 343

a)

a. 100

b)

b. 125

c)

c. 64

d)

d. 216

87.

Find the odd man out in the series: 495, 275, 385, 176, 693, 265

a)

a. 495

b)

b. 275

c)

c. 693

d)

d. 265

88.

Find the odd man out in the series: 16, 72, 24, 48, 52, 56

a)

a. 16

b)

b. 72

c)

c. 52

d)

d. 56

89.

Find the odd man out in the series: 4, 16, 81, 45, 121, 169

a)

a. 45

b)

b. 16

c)

c. 81

d)

d. 4

90.

Find the odd man out in the series: 3, 6, 11, 13, 18, 27

a)

a. 3

b)

b. 13

c)

c. 27

d)

d. 18

91.

What is the exact opposite of the word “ENORMOUS”

a)

a. Soft

b)

b. Average

c)

c. Tiny

d)

d. Weak

92.

What is the exact opposite of the word “COMMISSIONED”92. What is the exact opposite of the word “COMMISSIONED”

a)

a. Started

b)

b. Closed

c)

c. Finished

d)

d. Terminated

93.

What is the exact opposite of the word “EXODUS”

a)

a. Restoration

b)

b. Home-Coming

c)

c. Influx

d)

d. Return

94.

What is the exact opposite of the word “EXPAND”

a)

a. Convert

b)

b. Congest

c)

c. Condense

d)

d. Conclude

95.

What is the exact opposite of the word “QUIESCENT”

a)

a. Dormant

b)

b. Active

c)

c. Unconcerned

d)

d. Weak

96.

Choose the one which can be substituted for the sentence: “That which cannot be corrected”

a)

a. Incorrigible

b)

b. Indelible

c)

c. Unintelligible

d)

d. Illegible

97.

Find the correctly spelt word:

a)

a. Treatmeant

b)

b. Beterment

c)

c. Employd

d)

d. Efficient

98.

Odometer is to mileage as compass is to

a)

a. direction

b)

b. speed

c)

c. hiking

d)

d. needle

99.

The window is to pane as the book is to

a)

a. novel

b)

b. cover

c)

c. page

d)

d. glass

100.

Cup is to coffee as the bowl is to

a)

a. soup

b)

b. spoon

c)

c. food

d)

d. dish

Deloitte (Aptitude Test)

Total questions: 100

Worksheet time: 33mins

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