Aptitude and Reasoning Questions

X and Y start from the same point. X walks 40 m north, then turns West and walks 80 m, then turns to his right and walks 50 m. At the same time, Y walks 90 m North. Where is Y now with respect to the position of X?

From the top of a platform 5 m high, the angle of elevation of a tower was 30 deg. If the tower was 45 m high, how far away from the tower was the platform positioned?

If Tan A = 15/8 and Tan B = 7/24, then Tan (A - B) = ?

From the top of a platform 5 m high, the angle of elevation of a tower was 30 deg. If the platform was positioned 40√3 m away from the tower, how tall was the tower?

The value of sec2θ + 2tanθcotθ - tan2θ is

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements 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, follows from the given statements.

Statement I: Some razors are blades

Statement II: All knives are razors

Conclusion I: Some razors are knives

Conclusion II: No knives are blades

Which of the answer figure is exactly the water image of the given figure? 

The pie chart shows the number of students enrolled in the various engineering courses that a certain college offers. Study the diagram and answer the following questions.

The measure of the central angle of the sector representing the Electrical course is ________ degrees.