A bike consumes 20 mL of petrol per kilometre, if it is driven at a speed in the range of 25-50 km/hour and consumes 40 mL of petrol per kilometre at any other speed. How much petrol is consumed by the bike in travelling a distance of 50 km, if the bike is driven at a speed of 40 km/hour for the first 10 km, at a speed of 60 km/hour for the next 30 km and at a speed of 30 km/hour for the last 10 km

What is the maximum value of m, if the number N = 90×42×324×55 is divisible by3^m

Under what condition on p and q, one of the roots of the equation x²+px+q= 0 is the square of the other

In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicularly at P. If AP > BP, then AP is equal to 

A clock strikes once at 1 o'clock, twice at 2 o'clock and thrice at 3 o'clock, and so on. If it takes 8 seconds to strike at 5 o'clock, the time taken by it to strike at 10 o'clock is

Let S be a set of first fourteen natural numbers. The possible number of pairs (a,b), where a, b ∈ s and a ≠ b such that ab leaves remainder 1 when divided by 15, is