Quantitative Aptitude - Arithmetic Ability Questions

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

If 5 sin2θ+ 4 cos2θ= 9/2 and 0 <θ<Π/2 then tanθ is equal to?

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

If cosθ1-sinθ+cosθ1+sinθ = 4, then the value of θ (0°<θ<90°)?

2cos[(C+D)/2]sin[(C-D)/2] is equal to

Select the odd word/letters/number/number pair from the given alternatives.

The ratio of two numbers is 2 : 3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?