Quantitative Aptitude - Arithmetic Ability Questions

In ΔDEF measure of angle E is 90 deg. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?

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?

The total surface area of a cube is 337.5 cm². Find its side (in cm).

The ratio of marks obtained by a student was 1:2:3. The school decided to allow grace marks of 5% for each subject. Find the student's new ratio.

What is the equation of the line if its slope is 1/4 and y-­intercept is ­-3?

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

ΔPQR is right angled at Q. If m∠R = 60o, then find the value of (secP - 1/√3) 

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?