Calculate the value of ∡OBC + ∡BAC, if O is the circum-center of the triangle ABC inscribed in the circle.
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If 60 boys can finish a work in 15 days by working 8 hours a day, then how many hours a day should 72 boys work to finish that work within 20 days?
Find the maximum area of a rectangle field which is surrounded by a rope of 400 m.
Which of the following numbers is completely divisible by 99?
The volume of a right circular cone, with a base radius the same as its altitude, and the volume of a hemisphere are equal. The ratio of the radii of the cone to the hemisphere is
The lengths of the two diagonals of a rhombus are 7 cm and 24 cm. Find the length of its perimeter (in cm).
ΔABC is right angled at B. BD is the altitude. AD is 8 cm and DC is 50 cm. What is the length of BD?
Find the volume (in cm3) of a right circular cylinder of diameter 42 cm and height 14 cm.