MOCK APTITUDE TEST PAPER PRAXIS BUSINESS SCHOOL

Section 1

Question 1:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left
the fort. The number of days for which the remaining food will last, is:

Options

29 1/ 2

37 1/ 4

42

54

Question 2:

Companies A, B, C, D, E all manufacture and sell a similar product. The graph

compares the manufacturing cost and sales price per unit amount 5 companies. If
all 5 companies sold same number of units, which company has earned the greatest
profit from those sales?
 Options

Question 3:

A vessel is filled to its capacity with pure milk. Ten liters are withdrawn from
it and replaced by water. This procedure is repeated again. The vessel now has
32 litres of pure milk. Find the capacity of the vessel (in litres)?

Options
 50

52

55

45

Question 4:

Recently my brother and I played chess for chocolates. Whoever lost the game
gave the other a chocolate. After the last game we counted the chocolates. I had 20
more chocolates than I started with, although he won 7 games. There is no draw.
How many games did we play?

Options

27

34

37

54

None of the above

Question 5:
The accompanying graph shows how $250,000 is invested. Later 20% of the
amount invested in technology stocks is reinvested in health stocks. How much
money is invested in health stocks?

Options

$77,500

$65,000

$45,000

$39,000

$27,500

Question 6:
Inside a square plot, a circular garden is developed which exactly fits in the
square plot and the diameter of the garden is equal to the side of the square plot
which is 28 metres. What is the area of the space left out in the square plot after
developing the garden?

Options

98 m2

146 m2

84 m2

168 m2

None of above

Question 7:

There are two examinations rooms A and B. If 10 students are sent from A to B,
then the number of students in each room is the same. If 20 candidates are sent
from B to A, then the number of students in A is double the number of students
in B. The number of students in room A is:

Answer:
 Section 2

Question 1:

Suppose that rain is the only cause of thunder and grass getting wet. Then the
probability of hearing a thunder given it is raining is the same as the
probability of hearing a thunder given it is raining and the grass is wet.

Options

True

False

Question 2:

I toss a coin 2 times; then my friend tosses it 2 times. Find the chance that we get
the same number of heads

Options

1/8

2/8

3/8
 4/8

None of the above

Question 3:
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random.
What is the probability that none of the balls drawn is blue?

Options

10/21

11/21

2/7

5/7

Question 4:

In Orange county 51% of the adults are males. Also 9.5% of males smoke cigars
and 1.7% of females smoke cigars. One adult is picked at random and it is learned
that adult was smoking cigar. Find probability selected adult is male?

Options

0.04845

0.0083
 0.4845

0.853

None of the above

Question 5:

An anti- aircraft gun can take a maximum of four shots at an enemy plane
moving away from it. The probability of hitting the plane at the first, second,
third and fourth shots are 0.4, 0.3, 0.2 and 0.1 respectively.

What is the probability that the plane is hit when all the four shots are fired?

Answer:

Section 3

Question 1:

In statistics, when does moderation occur?

Options

When a relationship between two variables

depends on a third variable

When a relationship is statistically

significant, but does not depict a causal
Model
 When a relationship is statistically
significant, and also depicts a causal model

When two variables do not correlate

Question 2:

Which is most common problem while using decision tree C4.5?

Options

Handling continuous variable

Handling high cardinal categorical variable

Getting many rules with high accuracy with

very low coverage (Over fitting)

All of the above

Question 3:

The null hypothesis in an experiment would be

Options

there is a high correlation between the

independent and dependent variables
 changing the independent variable has no
significant effect on the dependent variable

changing the dependent variable causes a

significant change in the independent
variable

the standard error of the dependent

variable is greater than the mean of the
independent variable

None of the above

Question 4:

The plot representing frequency of occurrence of data in a dataset is termed as

Options

Scatterplot

Histogram

Lineplot

Question 5:

An ARMA (p,q) (p, q are integers bigger than zero) model will have?
 Options

An acf and pacf that both decline

geometrically

An acf that declines geometrically and a

pacf that is zero after p lags

An acf that declines geometrically and a

pacf that is zero after q lags

An acf that is zero after p lags and a pacf

that is zero after q lags

Question 6:

A scientist finds that regressing the y vs x data given below to y=7+a1x results in
the coefficient of determination for the straight-line model, r2 being zero.

The missing value for y at x=17 most nearly is

Options
 51

41

58

34

Question 7:

From the analysis of accidents on highways, it has been seen that 83% of accidents
happen when the speed of vehicles is above 100 mph. Which of the following is
true:

Options

Speeding above 100 mph causes

accidents

Speeding above 100 mph is a predictor of

accidents but it may or may not be the
cause

Speed and accidents have no relation

whatsoever

Not enough information to conclude

anything reliably
Question 8:

In Regression, if we use more than one predictor to predict our criterion at the
same time

Options

we are no longer doing statistics

we are conducting multiple regression and

there are no established ways of
determining which predictor is the best

we are conducting multiple regression and

there are established ways of determining
which predictor is the best

the predictors will always suffer from

heteroscedasticity

Question 9:

Suppose we build a prediction algorithm on a data set and it is 100% accurate on

that data set. Why might the algorithm not work well if we collect a new data set?

Options
 We are not asking a relevant question that
can be answered with machine learning.

We may be using bad variables that don't

explain the outcome.

Our algorithm may be overfitting the

training data, predicting both the signal and
the noise.

We have used neural networks which has

notoriously bad performance.

Question 10:

Given the numbers are 68, 83, 58, 84, 100, 64, the second quartile is

Options

74.5

75.5

75

74
Question 11:

The Pearsons correlation coefficient measures

Options

Order of equality between two discrete

distributions

Normality continuous distributions

Whether a cause and effect relation exists

between two variables

The strength of a linear relation between

two variables

Question 12:

Which one of these statistics is unaffected by outliers?

Options

Mean

Interquartile range
 Standard Deviation

Range

None of the above

Question 13:

In most cases while using decision tree or random forest, depth of the tree is
directly proportional to the over fitting problem?

Options

Yes

No

May be

Both a & c

Question 14:

Which of the following metric is important while selecting a classification model

Options

Accuracy of the model

Positive coverage of the model

 Area under the ROC curve

Business ROI of the model

Question 15:

You have been tasked to build a classifier for cancer diagnosis. It is of high
importance that patients with cancer can be diagnosed wrongly as negative but
patients without cancer should NEVER be diagnosed as positive. Which of the
following classification models would you prefer?

(Assuming: Positives = Cancer, Negatives = Not cancer)

Options

True Positive Rate [which is = True

Positive / Actual Positive]

True Negative Rate [which is = True

Negative / Actual Negative]

Positive Predictive Value [which is = True

Positive / Predicted Positive]

Total Accuracy [which is = (True Positive +

True Negative) / Total Population]
Question 16:
The correlation between a person's hair length and score on the midterm is nearly
zero. If your friend has a crewcut, your best guess as to what he got on the
midterm is

Options

the standard deviation of scores on the

Midterm

the mean minus the standard deviation

the mean plus the standard deviation

the mean score

Question 17:

Most common challenges faced while using K-Mean

Options

Selecting appropriate distance or similarity

measure

Interpretation of result

Selecting optimal number of clusters and

their initial values
 Both a & c

All of the above

Question 18:

True positive means correctly rejected.

Options

True

False
 Section 4
Each question presents a situation and asks you to make a judgment regarding that
particular circumstance. Choose an answer based on given information.
1. Eileen is planning a special birthday dinner for her husband's 35th birthday.
She wants the evening to be memorable, but her husband is a simple man
who would rather be in jeans at a baseball game than in a suit at a fancy
restaurant. Which restaurant below should Eileen choose?
Alfredo's offers fine Italian cuisine and an elegant Tuscan decor.
A
Patrons will feel as though they've spent the evening in a luxurious
.
Italian villa.

Pancho's Mexican Buffet is an all-you-can-eat family style

B.
smorgasbord with the best tacos in town.

The Parisian Bistro is a four-star French restaurant where guests are

C
treated like royalty. Chef Dilbert Olay is famous for his beef
.
bourguignon.

Marty's serves delicious, hearty meals in a charming setting

D
reminiscent of a baseball clubhouse in honor of the owner,Marty
.
Lester, a former major league baseball all-star.

2.
The film director wants an actress for the lead role of Lucy who perfectly fits the
description that appears in the original screenplay. He is not willing to consider
actresses who do not resemble the character as she is described in the screenplay,
no matter how talented they are. The screenplay describes Lucy as an average-
sized, forty something redhead, with deep brown eyes, very fair skin, and a
brilliant smile. The casting agent has four actresses in mind.
Actress #1 is a stunning red-haired beauty who is 5'9" and in her mid-twenties.
Her eyes are brown and she has an olive complexion.
Actress #2 has red hair, big brown eyes, and a fair complexion. She is in her mid-
forties and is 5'5".
Actress #3 is 5'4" and of medium build. She has red hair, brown eyes, and is in
her early forties.
Actress #4 is a blue-eyed redhead in her early thirties. She's of very slight build
and stands at 5'.
 A
1, 2
.

B. 2, 3

C
1, 4
.

D
2, 4
.

3.
Which word does NOT belong with the others?
A
inch
.

B. ounce

C
centimeter
.

D
yard
.

4.
Which word does NOT belong with the others?
A
tulip
.

B. rose

C
bud
.

D
daisy
.
5. Find the minimum number of straight lines required to make the given figure.

A
16
.

B. 17

C
18
.

D
19
.

6. Find the number of triangles in the given figure.

A
18
.

B. 20

C
24
.

D
27
.

7. A train covers a distance in 50 min, if it runs at a speed of 48kmph on an

average. The speed at which the train must run to reduce the time of journey to
40min will be
 A. 45 min

B. 60 min

C. 55 min

D. 70 min

8. Two persons starting from the same place walk at a rate of 5kmph and 5.5kmph
respectively. What time will they take to be 8.5km apart, if they walk in the same
direction?
A. 17 hrs

B. 22 hrs

C. 25 hrs

D. 12 hrs

9. Two trains 126 m and 114 m long are running in opposite directions, one at the
rate of 30kmph and another one at 42kmph. From the moment they meet will cross
each other in
A. 12 s
 B. 14 s

C. 16 s

D. 18 s

10. 12 men can complete a piece of work in 4 days, while 15 women can complete
the same work in 4 days. 6 men start working on the job and after working for 2
days, all of them stopped working. How many women should be put on the job to
complete the remaining work, if it is to be completed in 3 days?
A. 16

B. 15

C. 18

D. 19

11. Direction for the questions:

Study the following information carefully and answer the given questions.
Seven friends A. B. C. D. E. F and G studied in colleges X, Y and Z and are
currently in different professions namely, Medicines, Fashion designing,
Engineering, Business, Acting, Teaching and architecture (not necessarily in the
same order).
At least two and not more than three friends had studied in the same college.
C is an architect and studied in college Y.
E is not a businessman.
Only Gamongst the seven friends studied in college X along with E.
F is an engineer and did not study in college Y.
B is an actor and did not study in the same college as F.
A did not study in college Z.
Those who studied in college X are neither Fashion Designers nor teachers.
None of those studied in college Y is a teacher.

Question 1: Who amongst the following have studied in college Z?

(a) B, A
(b) C, F
(c) B, D, F
(d) A, D
(e) D, F

Question 2: Which of the following groups represents the students of college Y?

(a) C, E, G
(b) A, C, D
(c) A, B, C
(d) D, B, C
(e) None of these

Question 3: What is the profession of F?

(a) Engineering
(b) Business
(c) Medicines
(d) Acting
(e) None of these

Question 4: Who amongst the followings is in the profession of medicines?

(a) E
(b) G
(c) A
(d) D
(e) None of these
 Question 5: What is the profession of A?
(a) Teaching
(b) Medicines
(c) Business
(d) Fashion Designing
(e) None of these

Question 6: Which of the following combinations of person, college and

profession is definitely correct?
(a) E-X-Fashion Designing
(b) F-X-Engineering
(c) A-Y-Businessman
(d) D-Z-Teaching
(e) None of these

Question 7: Who amongst the following is a teacher?

(a) A
(b) D
(c) E
(d) G
(e) None of these

12. Directions to Solve

In each of the following questions two statements are given and these statements
are followed by two conclusions numbered (1) and (2). You have to take the given
two statements to be true even if they seem to be at variance from commonly
known facts. Read the conclusions and then decide which of the given conclusions
logically follows from the two given statements, disregarding commonly known
facts.
Give answer:
(A) If only (1) conclusion follows
(B) If sonly (2) conclusion follows
(C) If either (1) or (2) follows
(D) If neither (1) nor (2) follows and
 (E) If both (1) and (2) follow.
1. Statements: Some actors are singers. All the singers are dancers.
Conclusions:
1. Some actors are dancers.
2. No singer is actor.
A
Only (1) conclusion follows
.

B. Only (2) conclusion follows

C
Either (1) or (2) follows
.

D
Neither (1) nor (2) follows
.

E. Both (1) and (2) follow

2. Statements: All the harmoniums are instruments. All the instruments are
flutes.
Conclusions:
1. All the flutes are instruments.
2. All the harmoniums are flutes.
A
Only (1) conclusion follows
.

B. Only (2) conclusion follows

C
Either (1) or (2) follows
.

D
Neither (1) nor (2) follows
.

E. Both (1) and (2) follow

3. Statements: Some mangoes are yellow. Some tixo are mangoes.
Conclusions:
1. Some mangoes are green.
2. Tixo is a yellow.
A
Only (1) conclusion follows
.

B. Only (2) conclusion follows

C
Either (1) or (2) follows
.

D
Neither (1) nor (2) follows
.

E. Both (1) and (2) follow

4. Statements: Some ants are parrots. All the parrots are apples.
Conclusions:
1. All the apples are parrots.
2. Some ants are apples.
A
Only (1) conclusion follows
.

B. Only (2) conclusion follows

C
Either (1) or (2) follows
.

D
Neither (1) nor (2) follows
.

E. Both (1) and (2) follow

5. Statements: Some papers are pens. All the pencils are pens.
Conclusions:
1. Some pens are pencils.
2. Some pens are papers.
A
Only (1) conclusion follows
.

B. Only (2) conclusion follows

C
Either (1) or (2) follows
.

D
Neither (1) nor (2) follows
.

E. Both (1) and (2) follow

13.

14.
15. SUNDAY
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
SATURDAY
What day comes three days after the day which comes two days after the day
which comes immediately after the day which comes two days after Monday?

16. A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17
identical red. The lights are fused and he is completely in the dark. How many
socks must he take out to make 100 per cent certain he has a pair of black socks?
17. The following Contingency Table shows the number of Females and Males
who each have a given eye color. Note that, for example, the table show that 20
Females have Black eyes and that 10 Males have Gray eyes. Also notice that the
Table shows the totals. We have 85 Females in the dataset. We have 82 Males in
the dataset. We have a total of 167 People in the dataset. Finally, this table also
shows the totals for eye color. For example, 45 People have Black eyes.

Q1. Given this Contingency Table, what is the Probability that a randomly
selected person will have Black eyes?
Q2. Given this Contingency Table, what is the Probability that a randomly
selected Female will have Black eyes? In other words, what is the probability of a
person having black eyes GIVENthat they are female?
Q3. Given this Contingency Table, what is the Probability that a randomly
selected person will have Blue eyes OR will be Male?
Q4. Using the Contingency Table, determine if being Male and having Green eyes
areINDEPENDENT?