A batsman played n + 2 innings and got out on all occasions. His average score in these n + 2 innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first n innings. In these n innings, his average score was 30 runs and lowest score was x runs. The smallest possible value of x is

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at

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

How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?

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?

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

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

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