For the following questions answer them individually
P, Q and R can complete a work independently in 15 hours, 12 hours and 10 hours respectively. P and R started the work andafter 5 hours Q joined them and completed the work. The time (in minutes) Q worked is
If the circumference of a circle is increased by 50% then the percentage increase in its area is
In the figure given below both the semicircles have radius 7 units each and AB is a tangent to these semicircles. The area (in sq. units) of the portion
in the figure is
The maximum possible length (in cms) of a rod that can be kept in the rectangular box with dimensions 5 cm X 4 cm X 3 cm is
The radius of a sphere and the radius of the base of a right circular cylinder are equal to r. If the ratio of the volume of the sphere to that of the cylinder is 8 : 3 then the height of the cylinder is
The radius of a roller is 35 cmand its length of 3 meters. The area (in sq.mts) it covers in 25 rounds is (Take $$\pi = \frac{22}{7}$$).
The perimeter of a rhombus is 40 cms and one of its diagonal is 16 cms long. The length (in cms) of the other diagonal is
The number of revolutions made by a wheel of 42 cms diameter in covering a distance of 1.32 km is (Take $$\pi = \frac{22}{7}$$)
For integers a and b; and for integer m > 0 we write $$a \equiv b$$ (mod m) if m divides a - b, if $$8^{2017} \equiv n (mod 13)$$ and $$0 \leq n \leq 13$$ then n =