Quantitative Aptitude - Arithmetic Ability Questions

For what value of X, 211X will be a perfect square?

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take π=22/7)

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

If p3 - q3 = (p - q) ( (p - q)2 + x p q ) then value of x is

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?

In the following question, select the odd word pair from the given alternatives.

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is