Quantitative Aptitude

22 Pages·2017·0.24 MB·English

Quantitative Aptitude # 1
Questions Time Points
20 30 Minutes 500
Section 1: Problem Solving (Questions 1 to 10)
Question 1 (15 Points)
The cost of making certain number of smartphones for a company was
`83,000. The selling price of each smartphone is ₹7000.How many
smartphones should the company sell to make a profit?
A. 8
B. 9
C. 10
D. 11
E. 12
Question 2 (25 Points)
A man deposited ₹10,000 to open a new savings account. He earns 5 %
annual interest compounded yearly. There are no other transactions in his
savings account. What will be the amount of money in his savings account
after 2 years?
A. ₹ 10,500
B. ₹ 11,000
C. ₹ 11,025
D. ₹ 11,040
E. ₹ 11.075
Question 3 (25 Points)
There are 5 stakeholders in a company. A certain investment fetched `50
Lakhs profits and the 5 stakeholders will receive their share value based on
the percentage of their ownership. The 1st stakeholder owns 20% of the
company. The 2nd stakeholder owns 25% of the company. The 4th and the
5th stakeholder together earned `20 Lakhs from that investment. How much
did the 3rd stakeholder earn from the investment?
A. `5 Lakhs
B. `7.5 Lakhs
C. `12.5 Lakhs
D. `15 Lakhs
E. `20 Lakhs
Question 4 (35 Points)
A group of members who wanted a separate region landed on a small island
(with no accommodations) in 2010. The area of the circular island in 2010 was
9π kilometers. They decided to transform the small island into an attractive
tourist spot. However, they started “land reclamation” (creating new land from
ocean) to expand the island and to construct resorts. Tourists must stay only
in resorts. Each resort can accommodate exactly 50 tourists, and all the
resorts in the island will be alike and have the same capacity. According to
the “Island Expansion” plan, 5 resorts will be constructed for every 3 Km
increase in radius of the island. There are 500 tourists on March 31st,
2012 and each resort is operating on full capacity (50 tourists each resort).
What is the area of the island as of March 31st, 2012?
A. 16π Km
B. 36π Km
C. 64π Km
D. 81π Km
E. 100π Km
Question 5 (30 Points)
A paleontologist is stuck in an abandoned Jurassic Park. He is being chased
by a T-Rex Dinosaur. The chase begins at the coordinates (20,50) i.e. 20
degrees latitude and 50 degrees longitude. However, there are 5 rescue
missions at 5 different coordinates. The 1st rescue mission: Alpha Cross is
at (50,90). The 2nd rescue mission: Beta-Cross is at (40,80). The 3rd rescue
mission: Theta Cross is at (70,50). The 4th rescue mission: Delta cross is at
(25,50). The 5th rescue mission: Gamma cross is at (30,40). The distance
between any coordinate is in kilometers. The paleontologist is running at a
speed of 5km per hour (faster than that of T-rex). He can only run for one
more hour. Which rescue mission should he target to reach to be saved?
A. Alpha Cross (50,90)
B. Beta-Cross (40,80)
C. Theta Cross (70,50)
D. Delta Cross (25,50)
E. Gamma Cross (30,40)
Question 6 (15 Points)
A group of Currency traders is presented with loaded cash box with number of
different currencies that are of random values. Currency traders will start their
trading activity based on the currency they randomly select. There 2000 US
Dollar notes, 1600 Rupee Notes, 1200 Japanese Yens and 800 Mexican
Pesos. Each currency trader will be blindfolded and asked to pick a currency
note. What is the probability that a currency trader will select an Indian
Rupee Note?
A. 2/7
B. 3/14
C. 4/7
D. 5/14
E. 1/2
Question 7 (15 Points)
The total revenue earned by a company in the first 6 months of a year is `80
Lakhs. The average monthly revenue for the first 4 months is `7 Lakhs. What
is the revenue earned by the company in the 5th month?
A. ₹ 44 Lakhs
B. ₹ 46 Lakhs
C. ₹ 48 Lakhs
D. ₹ 50 Lakhs
E. ₹ 52 Lakhs
Question 8 (35 Points)
An oil cartel from a “Territory C” is on its way to supply Oil to a “Country A”.
The Oil vehicle started with 1100 Liters of Oil in its container. The Oil Vehicle
must use its Oil container as a primary fuel to travel. However, it must cross 3
borders to reach the country A. Therefore, it should provide some amount of
oil at each border point to avoid paying heavy tariffs. The 2 borders are along
a straight road to the east from the “Territory C”. It takes 1200 km to cross
the first 2 borders. After crossing the first 2 borders, the vehicle must travel
500 km north along a straight road to reach the 3rd border. The liters of oil
provided to the 3 borders are 150 ,300 and 420 respectively. Now, there are
only 130 liters of oil left in the container, and the distance to travel to the “Big
Country” is more than 2000 km. The oil cartel has given its hope to supply oil
to the “Big Country A”, and now it wants to take the shortest route along a
straight road to travel to its own “Territory C” to avoid all the border checking
points. The fuel consumption of Oil Vehicle 13 liters per Kilo meter. How
many liters of oil will be left by the time the Oil Vehicle reaches its own
“Territory C”?
A. 30
B. 40
C. 50
D. 60
E. 70
Question 9 (15 Points)
A company earned a revenue of `50 Crores. There are only 2 expenses for
this company: Operating and Non-Operating. The profit earned by the
company was `15 Crores and its Non-Operating expenses were `20 Crores.
What is the company’s ratio of the operating expenses to the Revenue?
A. 1/5
B. 3/10
C. 4/11
D. 2/5
E. 3/5
Question 10 (30 Points)
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A circle is embedded in an equilateral triangle (AB=BC=AC=10 units). The
diameter of the circle is 6. What is total area of the shaded regions?
A. 36 Sq.units
B. 24 Sq.units
C. 25√3 - 36π
D. 25√3 - 12π
E. 25√3 - 9π
Section 2: Scenario - Based Problem-Solving Questions
Questions 11 & 12 are based on the following scenario
There are 5 companies (A, B, C, D & E) competing in a specific frontier.
Company A has the highest market share of 41 % and Company B has the
2nd highest market share of 26 %. Companies C, D & E are competing to
take the 3rd spot in that frontier in terms of market share. According to the
rules of that frontier economy, the market share of the company that takes the
3rd spot should be greater than market shares of the 2 other companies.
Question 11 (15Points)
What is the minimum market share that should be attained by a company to
take the 3rd spot?
A. 11%
B. 12%
C. 13%
D. 15%
E. 20%
Question 12 (15 Points)
Companies C, D & E have merged to form a conglomerate. The conglomerate
has achieved a market share of 45 %, thereby taking the 1st spot. However,
the market share of company A remains unchanged. What is the change in
the market share of Company B?
A. 10%
B. 11%
C. 12%
D. 13%
E. 14%
Question 13,14,15 & 16 are based on the following Scenario:
A spacecraft has been constructed for an expedition to Planet Mars from
Earth. There are 5 cockpits in the Spacecraft. The distance between Earth’s
orbit and Mars orbit is 56 Million Kilometers. 5 Humans and 3 Robots will
be operating the Spacecraft. Robots and Humans will operate the Spacecrafts
at different speeds and the speed of the Spacecraft is also dependent on
the usage of cockpits. Each robot utilizing 1 cockpit will operate the
Spacecraft at 0.8 Million Km/Day. Each Human utilizing 1 cockpit will operate
the Spacecraft at 0.2 Million Km / Day. Each Robot can operate exactly for 5
days. There are no limits for operational capacity for Humans.
Question 13 (30 Points)
What will be the speed of the Spacecraft if 3 Humans and 2 Robots use all the
5 cockpits?
A. 1 Million Km/Day
B. 2 Million Km/Day
C. 2.2 Million Km/ Day
D. 2.35 Million Km/Day
E. 2.4 Million Km/Day
Question 14 ( 30 Points)
All the 5 Human will be in cryo-sleep for the first 5 days. Approximately, what
percent of the expedition will be completed in terms of distance if all the 3
Robots operate 3 cockpits for the first 5 days?
A. 21%
B. 25%
C. 30%
D. 33%
E. 35%
Question 15 (35 Points)
According to the plan, 2 more Robots with same operational capacity will be
sent through a voyager after the 3 Robots are completely utilized for the first
5 days. From the 6th day, what would be the minimum number of days to
reach the Mars orbit assuming the 2 more robots and 5 humans work together
without any break using all the 5 available cockpits?
A. 33 Days
B. 35 Days
C. 38 Days
D. 40 Days
E. 42 Days
Question 16 (25 Points)
Consider a hypothetical situation, in which, there were no limits to the
operational capacities for Robots. Approximately ,how many days would it
take to reach Mars Orbit if there was no human intervention and 5 Robots
operated the spacecraft utilizing all the 5 cockpits ?
A. 3 Days
B. 5 Days
C. 8 Days
D.10 Days
E. 12 Days
Section 3: Data Interpretation (Question 17 to 20)
Question 17,18,19 &20 are based on the following Data:
There were certain number of films made by Splurge production company.
There are number of genres (types of films) made under Splurge production
company, but any movie belongs to only one of 3 categories when it comes to
financial results: Flop (unprofitable), Hit (Profitable) and Breakeven
(Neither unprofitable nor profitable). 40 % of the films made belong to Sci-
Fi movies and 20 % of the films made fall into comedy genres. 40 % of the
films made belong to Other genre movies.
!
20 % OF THE Sci-fi movies were flops (unprofitable). 10 % of the comedy
movies were Hits (profitable) and 40 % of the comedy movies were Break-
evens. 50 % of Other genre movies were Break evens
Question 17 (25 points)
What percent of the comedy movies made were flops (unprofitable)?
A. 10 %
B. 20 %
C. 30 %
D. 40 %
E. 50 %
Question 18 (30 points)
50 % of the Sci-Fi movies turned out to be Hits (Profitable). What percent of
the total number of movies made under Splurge Production Company
were Break-Evens (Neither Profitable nor Unprofitable)?
A. 20 %
B. 30 %
C. 40 %
D. 50 %
E. 60 %
Question 19 (25 Points)
The total number of Comedy movie genres made were 140. What were the
total number of movies made by the Splurge Production company?
A. 280
B. 420
C. 560
D. 700
E. 840
Question 20 (30 points)
A quarter of the Other genre movies were Flops (Unprofitable). How many of
the films made by Splurge Production company were Hits (Profitable) (Use
the data from the above Questions)?
A. 196
B. 224
C. 280
D. 350
E. 420
Verbal Aptitude # 1
Questions Time Points
25 40 Minutes 500
Section 1
For Questions 1 to 4, spot the grammatical error. There are 4 underlined words
or phrases. Identify the one that must be changed to make the sentence free of
grammatical errors. If you find No Error, select Choice E.
Question 1 (25 Points)
While many physical-first objects can be tagged using digital tools and
technologies, such as RFID, it typically does not provide the same level of data
and similar level of insight.
A While
B can be tagged
C such as RFID
D it typically does
E No Error

Question 2 (15 points)
The cartoonist is an integral part of the team but are sometimes ignored by the
Marketing Department.
A an integral part
B the team
C are
D ignored by
E No Error