Quantitative Aptitude - Arithmetic Ability Questions

The value of (sec245 - cot245) - (sin230 + sin260) is

Find the odd word/letters/numbers pair from the given alternatives.

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

If P = 99, then the value of P(P2+ 3P + 3) is

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?

Two water squash mixtures, the first with a water-to-squash ratio of 5:1 and the letter with a ratio of 3:1 are blended in the ratio 3:2. What is the final water : squash ratio in the blend?

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500 .The smallest numbers is