Quantitative Aptitude - Arithmetic Ability Questions

In triangle DEF measure of angle E is 90 deg. If cotD = 5/12 and DE = 1 cm, then what is the length (in cm) of side EF?

Which of the following ratio correctly depicts the division of each median of the triangle by the centroid?

What is the equation of the line passing through the point (0,­4) and making an angle of ­45° with the positive x­axis?

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

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

The surface area (in sq.cm.) of a sphere with radius 1 cm is :(pi = 22/7)

If tan (5x ­- 10°) = cot (5y + 20°), then the value of x + y is