Mathematics Tes...

For acute angle θ, find value of sec²θ − tan²θ

The average weight of 45 passenger on board an aircraft is 50 kg. If the weight of 5 members of the crew is added, the average is reduced by half kilogram . What is the average weight of the crew members?

A gardener had a number of shrubs to plant in rows . At first he tried to plant 8, then 12 and then 16 in a row but he always had 3 shrubs left with him . On trying 7 shrubs he was left with none.Find the total number of shrubs.

If tan ⁡α/3 = 1/2, then the value of tan ⁡α + cot ⁡α is:

A box contains 5 black and 4 white balls. A ball is drawn at random and its colour is noted. The ball is then put back in the box along with two additional balls of its opposite colour. If a ball is drawn again from the box, then the probability that the ball drawn now is black, is

Let a, b, c, d and e be distinct positive numbers. If a, b, c and 1/c, 1/d, 1/e both are in A.P. and b, c, d are in G.P. then

A code word of length 4 consists of two distinct consonants in the English alphabet followed by two digits from 1 to 9, with repetition allowed in digits. If the number of code words so formed ending with an even digit is 432 k, then k is equal to :

If f is a function of real variable x satisfying f (x + 4) – f (x + 2) +f(x) = 0, then f is a periodic functionwith period:

One of the two events, A and B must occur. If P (A) = (2/3) P(B), the odds in favour of B are:

Find the least number of five digits which is exactly divisible by 12, 15 and 18.