Quantitative Aptitude - Arithmetic Ability Questions

The third proportional of the following numbers (x - ­y)2, (x2 - y2)2 is

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

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

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

Reflection of the point (4,­6) in the origin is

Select the odd number from the given alternatives.