For the following questions answer them individually
A person distributes his pens among four friends A, B. C, D in the ratio 1/3 : 1/4 : 1/5 : 1/6 .What is the minimum number of pens that the person should have?
If $$x,y,z \neq 0$$ and $$\frac{1}{x^{2}}+\frac{1}{y^{2}}+\frac{1}{z^{2}}$$ = $$\frac{1}{xy}+\frac{1}{yz}+\frac{1}{zx}$$ then the relation among x, y, z is
If a sinθ + b cosθ = c then the value of a cos θ - b sin θ is :
If x= a secθ cos Φ , y = b secθ sin Φ z = c tan θ, then, the value of $$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}-\frac{z^{2}}{c^{2}}$$ is :
Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is
If $$\frac{sec\theta+tan\theta}{sec\theta-tan\theta}=\frac{5}{3}$$, then $$ sin\theta $$ is equal to :
The marked price of a watch was 720. A man bought the same fort 550.80 after getting two successive discounts, the 1st being 10%. What was the 2nd discount ?
Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. If both are opened together and at the end of 3 minutes, the first is closed, how much longer will the cistern take to fill?
The average age of 14 girls and their teacher’s age is 15 years. If the teacher’s age is excluded, the average reduces by 1. What is the teacher’s age?
The square root of $$33-4\sqrt{35}$$ is :
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