If the area of a circle, inscribed in a equilateral triangle is 4 π cm², then what is the area of the triangle?

Radhe buys two TVs at the same cost price, one of them is sold at $$11 {1\over 9}\% $$ profit and the other at   $$14{2\over 7}\% $$ profit, then the difference between their selling price is Rs $${200\over 7}$$. Find the cost price of the TV.

A sum of money doubles itself at compound interest in 15 years. In how many years it  will become eight times?

According to the will the wealth of Rs. 21,25,000 was to be divided between the son and the daughter in the ratio $$ {7\over6}:{5\over3}$$. How much did the son get (in Rs.)?

ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ΔABC= x cm², then what is the area (in cm²) of ΔDBC?

What is the value of 4² -3² + 6² – 5² + 8² + 7² +…………….92² – 91² ?

The ratio of the sides of a triangle is 3: 4: a and the area of this triangle is 216 square cm. And the perimeter of this triangle is 72 cm. Then the value of a will be -

The areas of the three adjacent faces of a cuboid are 32 cm², 24 cm² and 48cm². What is the volume of the cuboid?