Mathematics Tes...

If tan 9°=p/q, then the value of $\frac{se{c}^{2}81°}{1+co{t}^{2}81°}$ is ?

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?

If log₁₀ 2 = 0.3010, then log₂ 10 is equal to:

In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is weight of new comer?

If 7sin²θ + 3cos²θ = 4, (0° ≤ θ ≤ 90°), then the value of θ is?

If log₁₀5+log₁₀(5x+1)= log₁₀(x+5)+1,then x is equal to :

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

If a² + b² + 4c² = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a² + b² + c²) is?

The number of positive integers which can be formed by using any number of digits from 0, 1, 2, 3, 4, 5 without repetition.