Two years ago, the ages of Rekha and Shruti were in the ratio \(2:3\). Three years hence, the ratio will become \(3:4\). How old will Shruti be after 8 years from now?

Aditya and Bipin entered into a partnership by investing ₹ 40,000 and ₹ 50,000, respectively. After 4 months, Aditya made additional investment equal to \(\left(\dfrac{1}{4}\right)^{\text{th}}\) of his investment and Bipin withdrew \(\left(\dfrac{1}{5}\right)^{\text{th}}\) of his…

Simplify: \(15+60\div15\times2-1\)

4 men can do a work in 5 days and 5 women can do it in 6 days. How many women should work with 2 men to complete the work in 5 days?

What smallest number should be subtracted from 81025 to get a perfect square number?

Four men can do \(60\%\) of a work in 6 days, whereas 6 women can do \(50\%\) of the same work in 5 days. How many days will 2 men and 3 women take to do the work if they work together?

If the adjacent sides of a rectangle are increased by \(35\%\) and \(20\%\), respectively, then by what percent will its area increase?

The average weight of 11 persons in a group of 12 persons is 64 kg. The weight of the 12th person is 22 kg more than the average weight of all the 12 persons. The weight of the 12th person (in kg) is:

In an election between two candidates, \(12\%\) votes did not cast their vote. \(\left(\dfrac{1}{6}\right)^{\text{th}}\) of the votes casted were found to be invalid. The winner obtained \(55\%\) of the valid votes and won the election by 36542 votes. Find the total number of vot…