Quantitative Aptitude Online Test

The CEO of Snipr. Inc wants to grow monthly gross profit by 4%. If costs stay the same, what does the sales turnover need to be in February to achieve this goal?

Alex’s uncle is a magician who gave them a magic bag in which coins get doubled each time you put those coins into it. Initially, Alex had few coins with them. So, Alex put all the coins, and the coins got doubled. Alex took out all the coins and gave a few to their friend and then again put the remaining coins back in the bag. The coins doubled again; Alex took out all the coins again and gave a few coins to their second friend. Alex then put the remaining coins in the bag and the coins doubled again. Alex took out all the coins and gave a few coins to their third friend. 

There were no coins left with Alex when Alex gave coins to the third friend and Alex gave an equal number of coins to each friend. What is the minimum number of coins Alex had initially and how much did Alex give to each friend?

A: Started with 3 coins
B: Started with 5 coins
C: Started with 6 coins
D: Started with 7 coins
E: Started with 9 coins
F: Gave 3 coins in every turn
G: Gave 4 coins in every turn
H: Gave 5 coins in every turn
I: Gave 7 coins in every turn
J: Gave 8 coins in every turn
K: Gave 9 coins in every turn

In my house, there are three clocks of different shapes – a round clock, a square clock, and a rhombus clock. The rhombus clock is always accurate whereas the round clock gains 2 minutes every day and the square clock loses 2 minutes every day. I checked the clocks on July 22nd, 2007 at 10 PM, and they were showing different times.

Two hours later, when I checked, the clocks were showing the same time, then on which date will all three clocks show the same time again?

A: 17 July 2008 
B: 23 Sep 2007
C: 25 July 2009
D: 19 Aug 2008
E: 26 July 2008
F: 28 Nov 2007
G: 11 June 2008
H: 15 Aug 2007

You are tasked with adjusting the budget for a year-long research project that involves three sequential phases:

1. The Initial Research (IR) phase has an allocated annual budget of $200,000. By the end of the first quarter, $80,000 has already been spent.
2. The Data Analysis (DA) phase is scheduled to begin after the completion of the IR phase, with a planned quarterly budget of $50,000.
3. The Final Reporting (FR) phase, which follows the DA phase, has a fixed budget of $100,000, irrespective of its duration.

The project encounters a few changes:

1. The IR phase is projected to need an additional $20,000 for each of the remaining three quarters due to increased research complexity.
2. The DA phase is anticipated to extend into an additional quarter, meaning it will now take three quarters instead of the initially planned two.
3. The FR phase will not incur any additional costs and will not be affected by the DA phase extension.

Calculate the additional budget required by the end of the project in light of these changes.

A company is working on three projects: Alpha, Beta, and Gamma. The resource allocation for these projects over four quarters is shown in the table below. The table represents the percentage of total company resources allocated to each project in each quarter. Calculate the average percentage of resources allocated to each project over the four quarters.

Galactic Express, an interstellar delivery company, has three space routes to deliver packages from Earth to Planet X. Route A has a 60% success rate of on-time delivery, Route B has a 75% success rate, and Route C has an 80% success rate. To maximize efficiency, the company decides to send two shipments via different routes simultaneously. If at least one shipment needs to arrive on time for the delivery to be considered successful, what is the probability that Galactic Express will succeed in its delivery?

A tennis coach was trying to put together a team of 4 players for a tennis championship out of 7 players. R, S, T are the male players, and W, X, Y, Z are the female players. Note that all players have equal ability, and the team needs to have atleast 2 male players. While selecting the team we need to keep in mind that all 4 players should be able to play with each other. 

We also need to keep the following restrictions in mind:
- R cannot play with Y
- S cannot play with W
- T cannot play with Z

Which of the following are true:

A: S and Z cannot be in the team together.
B: T and Y cannot be in the team together.
C: T and X cannot be in the team together.

A code ("EIG AUC REO RAI COG") was sent to the criminal office by a CID agent named Batra.  However, four of the five words are fake, with only one containing the information. They also included a clue in the form of a sentence: "If I tell you any character of the code word, you will be able to tell how many vowels there are in the code word." Are you able to figure out what the code word is?

A: RAI 
B: EIG
C: AUC
D: REO
E: COG
F: None

Myra is working on her thesis for which she created a scatter plot of the number of teachers and the number of college graduates for cities in Australia. She noticed a positive correlation. Which of these do you think is the probable explanation for this correlation?

A: Teachers encourage people to go to college, so an increase in the number of teachers leads to an increase in the number of college graduates. 

B: Some college graduates choose teaching as a profession after graduating, so an increase in the number of college graduates also leads to an increase in the number of teachers.

C: There are more college graduates and teachers in higher income cities, so income is a confounding variable here, make it difficult to prove causation between number of teachers and number of college graduates. 

D: Cities with a higher population have more teachers and more college graduates, so the correlation is due to a third variable (population of city).

E: The provided data is insufficient, so it is extremely difficult to establish the reason for the correlation.

F: Most college students choose non-teaching professions after graduating, which explains the correlation. 

G: In Australia, college students are encouraged by their teachers to choose teaching as a profession after graduating.