Problem Solving Test

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.

Consider the following line chart which shows the money invested by a company in production each year and the sales made by the company each year. If the pie chart shows the shareholding pattern of the company and the company gives 10% of the profit as dividends to its share holders then what is the average dividend received by retail investors from 2000 to 2004?

Given below is the list of laptop brands and their details in which some data is missing. If the cost price of Dell is 3/5 of the cost price of Lenovo, then what will be the %profit of Dell?

 Consider the following line chart which shows the sales of five different companies from 2000 to 2009. Which of the following companies has the maximum percentage increase in the median from 2000 to 2004 and 2005 to 2009.

Which of the following set of shapes can be assembled to create the shape displayed:

Shown below is a group of 4 objects, which might be rotated in different directions. One of the 4 objects is different from the other 3 in some way. Can you figure out which one?

The city has been divided into 4 blocks. Block 1 in the north and Block 4 in the east of the city.

A postman, who delivers the letter in the city is standing at the intersection of the two lines. The postman travels the city in the following order:

1. North-West 20 steps
2. South-West 30 steps
3. South-East 40 steps
4. North-East 50 steps
5. North-West 15 steps 

Now, find the location where the postman is standing?
A: Block 3
B: Block 2
C: Block 4
D: Block 1
E: On the line intersecting Block 1 and Block 4
F: On the line intersecting Block 3 and Block 4

Which of the following figures do you think would complete the pattern shown below?

Which of the following figures do you think would complete the pattern shown below?

A pharmaceutical company claims that their new drug, Xylanex, is highly effective in treating a specific medical condition. They provide statistical data from a clinical trial to support their claim. However, a group of scientists has raised concerns about the validity of the study design and potential bias in the data collection process. They argue that the results may be inflated and not truly representative of the drug's effectiveness.

Which of the following assumptions is necessary to support the pharmaceutical company's claim?

A: The clinical trial participants were randomly selected and representative of the target population.
B: The scientists raising concerns have a conflict of interest and are biased against the pharmaceutical company.
C: The statistical analysis of the clinical trial data was conducted by independent experts.
D: The medical condition being treated by Xylanex is widespread and affects a large number of individuals.
E: The pharmaceutical company has a proven track record of developing effective drugs for similar medical conditions.

Emma's cafe has been operating successfully for the last 6 years. Profits have been growing every year, with this year (2020) being their best year so far. As a thank you, Emma treated her staff to a meal at a Michelin star restaurant. 

Below are 3 statements about Emma, her staff and her cafe. Can you help us decide whether the 3 statements are "True", "Probably True", "Insufficient Data to Say True or False", "Probably False", or "False".

1. Emma's staff members are happy.
2. Emma's cafe did well in 2016.
3. Emma is rich.

A: True
B: False
C: Probably True
D: Probably False
E: Insufficient Data

Statement: Ivory started a new startup. We know for a fact that almost all startups fail within the first 2 years. 
Conclusion: Ivory's startup will fail.
Does the conclusion follow from the statement?