At what angle the hands of a clock are inclined at 15 minutes past 5 ?

In a flat race, A beats B by 15 m and C by 29 m. When B and C run over the same course together, B wins by 15 m. The length of the course is

The odd term out in the series 15, 16, 34, 105, 424, 2124, 12756 is

One cubic meter of iron weighs 7.800 kg. The weight of iron in a pipe of length 4 m, whose interior and exterior diameters measure 10 cm and 12 cm respectively, is nearly

ABC is right angled triangle at C. Let BC = a, CA = b and AC = c and let p be the length of perpendicular from C on AB, then cp is equal to

The length of canvas 1.1 m wide required to build a conical tent of height 14m and the floor area \(346.5\ m^2\) is

The radius of two concentric circle are 13 cm and 8 cm. AB is a diameter of the bigger circle. BD is tangent to the smaller circle touching it at D. The length AD is [Figure: two concentric circles with centre O; AB is a diameter of the bigger circle; BD is drawn from B touching…

In a rhombus, the length of the two diagonals are 40m and 30m respectively. Its perimeter will be

The minimum value of \((2\sin^2\theta + 3\cos^2\theta)\) is