Aptitude and Reasoning Questions

If cos 45° - sec 60° = x, then the value of x is

In a certain code language, "PEPPER" is written as "@#@@#!" and "AIM" is written as "^?*". How is "PAMPER" written in that code language?

Statement: It is estimated that about twenty lakh people will visit the city during the ensuing festival.
Courses of action:
a. The civic authority should monitor the crowd and restrict entry of the people beyond a manageable number.
b. The local police authority should be put on high alert to maintain law and order during the festival.
c. All the hospitals in the city should be put on high alert in case of any eventuality.

In a computer game, there are builders and destroyers. Together there are 20 of them. Some of them try to build a wall around a castle while the rest try to demolish it. Each of the builders can build the wall alone in 15 hours while any of the destroyers can demolish it in 10 hours. If all 20 builders and destroyers are made active when there is no wall and the wall gets built in 3 hours, how many of them are destroyers?

The average of four consecutive odd numbers is 40. What is the largest number?

There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.

Introducing a boy, Sia says, "He is the grandson of my father. I have no siblings." How is Sia is related to the boy?

Seven years from now Virat will be twice as old as Mohinder. Five years ago Mohinder's age was one year less than 2/5 of Virat's age. What is Virat's present age?