All of the students at a college are majoring in psychology, business, or both. 73% of the students are psychology majors and 62% are business majors. If there are 200 students, how many of them are majoring in both psychology & business ?

If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other.

On an escalator it took me 30 seconds and 26 steps to reach the bottom. However if I am able to step down 34 stairs, I would only require 18 seconds to go to bottom. How many steps were there in escalator when it was idle?

Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 for 30 cows . How many cows can eat away the same in 96 days?

Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively

In a mixture of 63 liters, the milk and water are in the ratio 7:2. If 7 liters of water is added to the mixture, find the ratio in the resulting mixture.

There is a certain four digit number whose fourth digit is twice the first digit.Third digit is three more than second digit. Sum of the first and fourth digits twice the third number.What was that number ?

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

A thief steals half the total no of loaves of bread plus \(1\over2\)  loaf from a bakery. A second thief steals half the remaining no of loaves plus \(1\over2\)  loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total no of loaves did the bakery have at the beginning?

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work ?