IBA Mock Test

Institute of Business Administration (IBA)

You have 95 Mcqs of Mathematics and English. Each Mcq is worth four marks. You are given 140 minutes to solve and submit the test.

You are not obliged to score well but to know which part you are lacking in your preparation.

Take a deep breath. Keep a glass of water or any kind of snack with you.

Good luck!

IBA Mock Test 2021

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Q 1: For what value of n is |n −1| +1 equal to 0?

0

1

2

there is no such value

2 / 89

If x− 1 /3 =k and k = 3, what is the value of x ?

2

4

9

10

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Q 3: On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

9mp

20mp

5+4mp

4+5mp

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For i = (−1)^1/2 , what is the sum (7 + 3i ) + (−8 + 9i ) ?

-1+12i

-1+6i

15+12i

15-6i

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Q 5: h= 3a + 28.6. a pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?

3

5.7

9.5

14.3

6 / 89

b=2.35 + 0.25x

c = 1.75 + 0.40x

In the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken?

$2.60

$2.85

$2.95

$3.35

7 / 89

Q 7: A line in the xy-plane passes through the origin and has a slope of 1 /7 . Which of the following points lies on the line?

(0,7)

(1,7)

(7,7)

(14,2)

8 / 89

3x + 4y = −23

2y − x= −19

What is the solution ( x,y) to the system of equations above?

(-5,-2)

(3,-8)

(4,-6)

(9,-6)

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Q 9: g(x ) = ax^2 +24 For the function g defined above, a is a constant and g(4) = 8. What is the value of g(−4) ?

8

0

-1

-8

10 / 89

If ( ax + 2)( bx + 7) = 15x^2 + cx+ 14 for all values of x, and a +b =8, what are the two possible values for c ?

3 and 5

6 and 35

10 and 21

31 and 41

11 / 89

Q 11: If 3x − y = 12x, what is the value of 8^x/2^y?

2^12

4^4

8^2

the value cannot be determined from the information given.

12 / 89

Q 12: Which of the following numbers is NOT a solution of the inequality 3x−5 ≥4x −3 ?

-1

-2

-3

-5

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Q 13:

y<-x + a

y>x + b

In the xy-plane, if (0, 0) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?

a>b

b>a

|a|>|b|

a=-b

14 / 89

A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck’s revenue from selling a total of 209 salads and drinks in one day was $836.50. How many salads were sold that day?

77

93

99

105

15 / 89

Q 15:

h = − 4.9t^2 + 25t

The equation above expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?

3.5

4.0

4.5

5.0

16 / 89

For a polynomial p(x), the value of

p(3) is −2.

Which of the following must be true about p(x)?

x-5 is factor of p(x)

x −2 is a factor of p(x).

x +2 is a factor of p(x).

The remainder when p(x) is divided by x −3 is −2.

17 / 89

Q 17: A website-hosting service charges businesses a one-time setup fee of $350 plus d dollars for each month. If a business owner paid $1,010 for the first 12 months, including the setup fee, what is the value of d?

25

35

45

55

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Q 18: The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?

6,700

7,690

55,000

76,000

19 / 89

Q 19: The growth rate of the sunflower from day 14 today 35 is nearly constant. On this interval, which of the following equations best models the height h, in centimeters, of the sunflower t days after it begins to grow?

h=2.1t-15

h=4.5t-27

h=6.8t-12

h=13.2t-18

20 / 89

A customer’s monthly water bill was $75.74. Due to a rate increase, her monthly bill is now $79.86. To the nearest tenth of a percent, by what percent did the amount of the customer’s water bill increase?

4.1%

5.1%

5.2%

5.4%

21 / 89

Q 21:

In the xy-plane, the graph of

2x^2 − 6x + 2y^2 + 2y = 45 is a circle. What is the radius of the circle?

5

6.5

sqrt40

sqrt50

22 / 89

A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and Fertilizer B contains 40% filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where x is the number of pounds of Fertilizer A and y is the number of pounds of Fertilizer B?

0.4x + 0.6y =240

0.6x + 0.4y = 240

40x + 60y = 240

60x + 40y = 240

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Q 23:

X	W(X)	T(X)
1	-1	-3
2	3	-1
3	4	1
4	3	3
5	-1	5

The table above shows some values of the functions w and t. For which value of x is

w(x) + t(x) = x ?

2

3

4

1

24 / 89

2x^2 − 4x = t

In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t?

-3

-1

1

3

25 / 89

Q 25: What is the sum of the solution to the equation (x − 6)(x + 0.7) = 0 ?

0.7

-5.3

5.3

6.7

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Q 26: A study was done on the weights of different types of fish in a pond. A random sample of fish was caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?

The majority of all fish in the pond weigh less than 2 pounds.

The average weight of all fish in the pond is approximately 2 pounds

Approximately 30% of all fish in the pond weigh more than 2 pounds.

Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds

27 / 89

Q 27:Two different points on a number line are both 3 units from the point with coordinate −4. The solution to which of the following equations gives the coordinates of both points?

|x+4|=3

|x-4|=3

|x+3|=4

|x-3|=4

28 / 89

Q 28:Between 1497 and 1500, Amerigo Vespucci embarked on two voyages to the New World. According to Vespucci’s letters, the first voyage lasted 43 days longer than the second voyage, and the two voyages combined lasted a total of 1,003 days. How many days did the second voyage last?

460

480

520

540

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Q 29: A bricklayer uses the formula n h = 7 A to estimate the number of bricks, n, needed to build a wall that is A feet long and h feet high. Which of the following correctly expresses A in terms of n and h ?

I=7/nh

I=h/7n

I=n/7h

I=n/(7+h)

30 / 89

Q 30: Which of the following is equivalent to (a+b/2)^2?

a^2+b^2/2

a^2+b^2/4

a^2+ab/2+b^2/2

a^2+ab+b^2/4

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Q 31: x^1/2+9^1/2=(64)1/2,

what is the value of x?

5^1/2

5

25

55

32 / 89

Q 32: The sum of three consecutive natural numbers is 3000. The smallest of these three numbers is

1002

1001

1000

999

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Q33 The marks obtained by 80 students in a Mathematics test are given below:

Marks 20 30 40 50 60 70 80

Number of Students 5 10 15 20 15 10 5

The Arithmetic Mean of marks is

30

40

50

60

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Q 34: Find the value of x if the median for 2, 3, 7, x, 10, 15 is 8

6

7

8

9

35 / 89

Q35 {1, 2, 3, 5, 7} ∆ {3, 5, 7, 9, 11}

{1, 2, 3, 5, 7, 9, 11}

{3, 5, 7}

{1, 2, 9, 11}

None of these

36 / 89

Q 36: The domain of the binary relation R = {(2, 1), (4, 3), (6, 5), (8, 7)} is

{1, 2, 3, 4, 5, 6, 7, 8}

{1, 3, 5, 7}

{2, 4, 6, 8}

None of these

37 / 89

Q 37:

A

B

C

D

38 / 89

Q 38:

A

B

C

D

39 / 89

Q 39:

A

B

C

D

40 / 89

Q 40:

A

B

C

D

41 / 89

Q 41:

A

B

C

D

42 / 89

Q 42:

A

B

C

D

43 / 89

Q 43:

A

B

C

D

44 / 89

Q 44:

A

B

C

D

45 / 89

Q 45:

A

B

C

D

46 / 89

Q 46:

A

B

C

D

47 / 89

Q 47:

A

B

C

D

48 / 89

Q 48:

A

B

C

D

49 / 89

Q 49:

A

B

C

D

50 / 89

A

B

C

D

51 / 89

Q 1-15 Fill in the blanks with the suitable words given at the end of the text.

If you work at a business where managers from different geographic locations meet on a regular basis, you _Q1____ your company a fortune in travel costs _Q2______ a really ingenious technology that you probably don't know about. The technology I am talking about is modern conference call technology.

should save, with using

have to save, for using

could save, by using

are to save, and using

52 / 89

Companies are spending _Q3_ sending managers from one location to another to meet regularly with executives and also other managers.

a ransom

a fortune

a lifetime

an eternity

53 / 89

This is an extremely costly process. _Q4______ do you have to consider the out-of-pocket costs of all that traveling, _Q5_ also need to consider the opportunity cost of those meetings as well.

however, then you

unfortunately, when you

not only, but you

therefore, if you

54 / 89

All of that time that these managers and executives are spending at airports, waiting in lines for rental cars, recovering lost luggage, checking into hotels, etc. could be time _Q6_ on business matters that provide value to the company. They could be looking over reports. managing employees or talking with customers. Wouldn't you agree that these tasks are more beneficial than having that person away for a day or two while he is traveling?

better spent

more spent

better spending

more spending

55 / 89

In case you haven't caught up on things recently, there are ways that you can _Q7_ those meetings without taking your manager out of town, without wasting all that travel time, and without wasting all of that money. You could start holding those less than vital meetings over the telephone or over the computer. The technology to do this has been around for a good long time. but it is still under-utilized

accommodate

acknowledge

accomplish

accentuate

56 / 89

These teleconferencing services _Q8_ dramatically over the years _Q9_ the internet as part of their service.

shall improved, with inducing

will improved, by inculating

have improved, by incorporating

has improved, with encouraging

57 / 89

You can _Q10 on projects by showing PowerPoint presentations _Q11_ internet while you are conducting your meeting.

compromise, for the

consolidate, by the

collaborate, over the

cooperate, with the

58 / 89

You can even record the whole thing so that if one person _Q12_ to attend the meeting, that person can view the meeting after the fact _Q13_ to their own schedule. How is that compared to the system you are using right now?

wasn't able, because

hasn't able, therfore

cant able, however

wont able, According

59 / 89

The other major advantage is the _Q14_ of it all. If you need to _Q15_ emergency meeting to respond to some major event, this kind of service gives you that opportunity without having to book a bunch of last-minute flights.

approachability, call to

congeniality, call an

rationality, call that

Flexibility, call for

60 / 89

Q16-25: Choose the best option.

Q 16: When Saira called me I _____ that we _____ fishing soon.

remembered / had gone

was remembering / would be going

remembered / would go

had remembered / will go

61 / 89

Q 17: The predatory fossa of Madagascar resembles a cat, so scientists were surprised when genetic testing revealed that the animal is actually ______ to the mongoose

Akin

Dissimilar

Sovereign

Subordinate

62 / 89

Q 18: Just one misspelling, grammatical error, or typo makes you look foolish. It also makes you look disrespectful to the recipient.

What does the second sentence do?

It gives an example.

It reinforces the opinion.

It proposes a solution.

It states an effect

63 / 89

Q 19: I hope our services _____ your expectations.

Exceeds

Accedes

Have access

Broadens

64 / 89

Q 20: The police threatened to _____ the faulty goods.

Cease

Seize

Capture

Allow

65 / 89

Q 21: He may think of himself as ______, but all of his decisions today have been wrong.

Sagacious

Salacious

Malleable

Quiescent

66 / 89

Q 22: I will _____ their cat while they are away on holiday.

Be looking into

Be looking at

Be looking after

Be looking over

67 / 89

Q 23: In Sweden, public ______ of official documents is widespread.

A) Agony

B) Defy

C) Scrutiny

D) Litany

68 / 89

Q 24: For a year now, Mr. Zakir ______ charity balls to collect money for the homeless.

Had been organizing

Was organizing

Has been organizing

Organized

69 / 89

Q 25: A late fee will be applied to your account ____ payment is not received by March 31.

A) And

B) Whether

C) But

D) If

70 / 89

For questions 26-30, select the best version (A, B, C, or D) of the underlined part of the sentence.

Q 26: Oprah Winfrey, TV legend and CEO of Harpo Productions told graduates to dream big and always do the right thing.

Productions, told graduates to dream big and "always do the right thing."

Productions, told graduates to dream big and "always do the right thing"

Productions: told graduates to dream big and, always do the right thing.

Productions "told graduates to dream big and always do the right thing".

71 / 89

Q 27: Go to sleep with your blinds at least halfway open when the sun flows in your brain will slow its melatonin production and start generating adrenaline, so you'll be half-awake by the time.

at least halfway open, when the sun flows in your

at least halfway open. When the sun flows in, your

at least halfway open: When the sun flows in, your

at least halfway open when the sun flows in your

72 / 89

Q 28: Work that is not finished is not work at all, it is merely a botch, a failure.

all, it is merely a botch, a failure

all, it is a botch merely, and a failure

all; it is merely a botch, a failure.

all; the work merely is a botch and a failure.

73 / 89

Q 29: Alina bought 3 new pairs of shoes even though she had put herself on a tight budget just last week.

shoes, even though, she

shoes, even though she

shoes. Even though she

shoes; even though she

74 / 89

Q 30: The owners of the restaurant maintain that only organic ingredients are used in their kitchen.

maintain that only

maintain that, only

maintain: that only

maintain--- that only

75 / 89

From question 31 to 35 choose the suitable option.

Q 31: Ambreen wasn’t feeling well. _____ decided to stay home from work.

therefore

meanwhile

however

anyway

76 / 89

Q 32: The ticket said the concert would start at 8:00, but the curtains didn’t go up ____ 8:30.

less than

until

about

since

77 / 89

Q 33: The award is given to an individual who has made _____ contributions to the community through volunteer work

detailed

secure

significant

updated

78 / 89

Q 34: Health is _____ wealth

preferable to

more preferable than

more preferable to

most preferable then

79 / 89

Q 35) He ___ money.

has few

has little

have few

have little

80 / 89

From questions 36 to 45, find the most SIMILAR in meaning to the given word.

Q 36: Unprepossessing

ugly

arrogant

personable

didactic

81 / 89

Q 37: Tenuous

Playful

Dark

Weak

Unfathomable

82 / 89

Q 38: Undermine

Impose

Apprehend

Glorify

Weaken

83 / 89

Q 39: Parochial

Cosmopolitan

Xenophobic

Belligerent

84 / 89

Q 40: Destitute

Impoverished

Desolate

Affluent

Meticulous

85 / 89

Q 41: Tacit

Tenacious

Ostensible

Unspoken

Peaceful

86 / 89

Q 42: Palliative

Tyrannical

Overt

Curative

Festive

87 / 89

Q 43: Turbid

Shiny

Murky

Pellucid

Petrified

88 / 89

Q 44: Potable

Bland

Unsavory

Drinkable

Fertile

89 / 89

Q 45: Flagrant

Inauthentic

Unperturbed

Slanderous

Blatant

Your score is

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