The HCF and LCM of two numbers are 3 and 2730 respectively. If one of the numbers is 78, find the other number.

The volume of a cube is $$ 512{cm}^{3}$$. Its surface area (in sq cm) is 

$$ { \sqrt{(0.798)^2+0.404×0.798+(0.202)^2}+1=?} $$

A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.

A shopkeeper gives 12 percent additional discount along with a discount of 20 percent on the marked price of a radio. If the selling price of the radio is ₹ 704, the marked price is  

The number will be, whose square is equal to the difference between the squares of 975 and 585, is:

There are 1600 students in a college, whose average weight is 50 kg. If average weight of boys is 54 kg. and average weight of girls is 38 kg. Then find the number of girls in the school.

A shopkeeper marks an article 24% above its cost price and allows a 15% discount on the marked price. If he earns a profit of Rs. 27 by selling the article, then the selling price of the article is: