There are two numbers; the difference between them is equal to twice the smaller number. The sum of the two numbers is $68$. Find the product of the two numbers.

A student painted a circular region of certain area such that ${\frac{4}{7}}^{th}$ of the area was pink, ${\frac{1}{10}}^{th}$ area was green, and ${\frac{2}{7}}^{th}$ was yellow. The remaining area of $6 m^2$ was white. Find the area of the region which is painted pink (in sq. units).

In a two-digit number, tens digit is a multiple of the units digit. The sum of the number and the number formed by reversing the digits is $132$. Which of the following can be the product of the two digits?

There are three house-hold articles. The cost of the first article is two-fifth the cost of the third article and the cost of the third article is twice the cost of second article. If the total cost of the three articles is $₹228$, then find the cost of the first article (in $₹$).

 In an isosceles triangle, the difference between one of the equal sides and the unequal side (longest of the three) is $\frac{3}{10}$ of the sum of the equal sides. If the perimeter of the triangle is $90 cm$, then find the length of unequal side in centimetres.

Mr Anthony travelled 4/9 of a certain distance by bus. 1/3 by car, and the remaining 6 km by scooter. Find the distance travelled by bus (in km).

Which of the following is a solution of $\frac{-2x-5}{3}>\frac{3x+3}{4}?$

The unit digit of a two-digit number is $6$. If $9$ is added to the number, then the number obtained is $5/4th$ of the number itself. Find the sum of the digits.

A purse contains a certain number of coins of denominations $1 and 50 paise$. The total value of the coins (in) is $14$ less than the total number of coins. Find the number of $50 paise$ coins.