Logical Reasoning 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.