Let m and n be natural numbers such that n is even and 0.2 < m/20, n/m, n/11 < 0.5. Then m – 2n equals

If a, b, c are non-zero and 14ᵃ = 36ᵇ = 84ᶜ, then 6b(1/c − 1/a) is equal to

If f(x + y) = f(x)f(y) and f(5) = 4, then f(10) – f(-10) is equal to

If x₁ = −1 and xₘ = xₘ₊₁ + (m + 1) for every positive integer m, then x₁₀₀ equals

The points (2, 1) and (-3, -4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x + 9y + c = 0, then c is

A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?

Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and th…

In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and ∠BAD = 45°. If DC = 5 cm, BC = 4 cm, the area of the trapezium in sq.cm is

A man buys 35 kg of sugar and sets a marked price in order to make a 20% profit. He sells 5 kg at this price, and 15 kg at a 10% discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by p percent so as to make an overall profit…