Aptitude and Reasoning Questions

A, B and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?

Two cars A and B travel from one city to another city, at speeds of 60 km/hr and 108 km/hr respectively. If car B takes 2 hours lesser time than car A for the journey, then what is the distance (in km) between the two cities?

I, II, III & IV. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

Statements:
1. All teachers are actors.
2. Some actors are women.

Conclusion:
I. All teachers are women.
II. Some women are teachers.
III. Some women are actors.
IV. All actors are teachers.

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?

27 x 3 ÷ 30 + 5 - 125 = ?

In a certain code language, “MAYOR” is written as “NBZPS”. How is “PLAYER” written in that code language?

If 310 × 272 = 92 × 3n then the value of n is

A rice trader buys 8 quintals of rice for Rs 3,600. 10% rice is lost in transportation. At what rate should he sell to earn 15% profit?

A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?