There are 56 people in party. They all shake hands with each other and no person shakes hands with the other person more than once. How many handshakes will be done?
A tank is filled with water at the rate of 10 liters/hr in the first hour, 20 liters/hr in the second hour, 40 liters/hr in the third hour and so forth. If the time taken to fill 1/4th of the tank is 6 hrs, what is the time required to fill up the complete tank.
In T’nagar, many buildings are under residential category, which are numbered from 1 to 100. Commercial buildings like shops, corporations etc. are numbered from 150 to 200 by only prime numbers. How many times will 6 appear in the numbering of the buildings?
A pizza shop, there were 2 kinds of pizzas available. But now they have introduced 8 more types. A person buys two different types of pizzas of the new type. In how many ways can he select the two pizzas?
We all know that Aryabhatta is the greatest mathematics who belongs to India. When his daughter Mayabati was in her teenage, he discovered a problem. Aryabhatta was able to solve that problem with the help of his daughter Mayabati. At that time the age of Mayabati is a prime number, say A. After some years, her age becomes B. If B – A = 5 and the product of A and B is 21, then what is the sum of the squares of A and B?
A man whose age is 45 yrs has 3 sons named John, Jill and Jack. He went to a park twice weekly. He loves his sons very much. On a certain day he finds a shopkeeper selling different things. An apple costs 1 penny, 2 chocolates cost 1 penny and 3 bananas cost 1 penny. He has bought an equal number of apple, chocolate and banana for each son. If the total amount he invested is 7 penny then how many of each piece has he bought for his sons?
Priyanka wants to make a design which looks like an old monument in Africa. She needs to make a cube of 5cm × 5cm × 5cm using red colored wooden blocks of size 1cm × 1cm × 1cm. After completing the design she finds that the design has become too heavy. She decides to make a hollow cube of same size by using the same size small wooden blocks. How many wooden blocks does she need?
The Fashion College of Engineering starts everyday at 10:37 am and ends at 5:45. Students always use either Motor Cycles or Cars to come to the College. On Tuesday, there are 55 vehicles in the parking and there are 182 wheels. What is the difference between the number of cars and motor cycle?
Middle–Earth is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round half of the teams get eliminated from the tournament. If there are 8 rounds played in a knock–out tournol how many matches were played?
Swaty lies on Monday, Tuesday and Wednesday and speaks truth on the other days. Sweety lies on Thursday, Friday and Saturday and speaks truth on the remaining day. One day Swaty said “Yesterday was one of the days when I lied.” and Sweety said “Yesterday was one of the days when I lied too”. What is the day today?