A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If t...
In AABC, P is a point on AB such that PB: AP = 3: 4 and PQ is parallel to AC. If AR and QS are perpendicular to PC and QS = 9 cm, what is the length (in...
B invests 30% of his monthly salary on Travelling and 20% of remaining on Food. Again, he invested 25% of the remaining (after travelling and food expen...
A circle is inscribed in a square of side 28 cm. The area of the remaining portion of the square which is not enclosed by the circle is.
If x4 + x2 y2 + y4 = 37 and x2 – xy + y2 = 5, then what is the value of xy ?
A solid metallic cone with a radius of 6 cm and height of 12 cm is melted and recast into smaller cones with a radius of 3 cm and a height of 4 cm. How ...
The diagonals of a rhombus measure 36 cm and 48 cm. A rectangle has a length of 32 cm, and its area is equal to the area of the rhombus. What is the per...
A hemispherical bowl with an internal radius of 18 cm is full of liquid. This liquid will be filled in cylindrical bottles each radius of 3 cm and heigh...
If the radius of a right circular cylinder is doubled (an increase of 100%), and its height is reduced by half (a decrease of 50%), what will be the ra...
The breadth of a rectangle is increased by 5 cm, it will become twice the length of the rectangle. If the new perimeter is 330 cm, then find the origina...
