Aptitude and Reasoning Questions

An army recruit is training. He starts and runs 2 km East, then 3 km South, then 5.5 km West, then 4 km North, then 3.5 km East, where is he now with reference to the starting position?

By selling a used phone for Rs.6,160 Rajan got 44% less than what it cost him to buy it a few years ago. At what price should Rajan have been able to sell it to make a profit of 5%?

If sum of Rs.1000 amount to Rs.1331 in 3 years, compounded annually. Then, find the rate of interest per annum?

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

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

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

The angles of elevation of top and bottom of a flag kept on a flag post from 30 metres distance, are 45 and 30 deg respectively. Height of the flag is [taking √3 = 1.732]

If Sin θ = 20/29 , then what is the value of Sec Sin θ ?