A sum of money was divided into 2 parts in the ratio 2:5. First part was invested for 2 years at the annual interest rate of 20% compounded annually. At what rate of simple interest per annum the second part must be invested for 2 years, so that the interest earned in both cases is the same?

A number which, when increased by 15% becomes 161. What is the original number?

The number of 3-digit integers that are multiple of 6 which can be formed by using the digits 1,2,3,4,5,6 without repetition is

If a number is increased by 30% and then decreased by 20%, what is the net change?

A two digit number is such that the product of its digits is 12. If 36 is added to the number, the digits interchange their places. What is the number?

At an IIM entrepreneurship summit, two young founders - Karan and Deepak - introduced their startup. In their quirky opening, they said: "The product of our ages is 240. And just like in our startup strategy, twice Deepak's age is 4 years more than Karan's age." How old was Deepak two years ago?

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

If 1 man or 2 women can finish a job in 20 days, how may days will 3 men and women take to finish the same job?

If 1st January 2022 was a Saturday, what day of the week will 1st January 2023 be?

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° degree and 45° repectively. If the lighthouse is 100 m high, the distance between the two ships is

There are 40 female and 20 male students in a class. If the average heights of female and male students are 5.15 feet and 5.66 feet, respectively, then the average height (in feet) of all the students in the class equals

Let $x$ be a positive real number such that $x^{(8\log_5x-24)}=5^{-4}$. Then the product of all possible values of x is =

Number of three digit numbers that can be formed using 0, 1, 2, 3 and 5 where these digits are allowed to repeat any number of times, is equal to

The percentage change in area of a rectangle by decreasing its length and increasing its breadth by 5% is

Ten years ago, Ram was twice as old as Shyam. Ten years from now, the ratio of their ages will be 3:2. What is Ram's present age?