Quantitative Aptitude - Arithmetic Ability Questions

If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

Total surface area of a cube is 486 sq cm, find sum of length of all its edges?

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

If cos4θ-sin4θ=13 then the value of tan2θ is

If (secA - tanA)2 = x, then the value of x is

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

What is the value of [(sin 59° cos 31° + cos 59° sin 31° )÷(cos 20° cos 25° – sin 20° sin 25° )]?

A scored 72% in a paper with a maximum marks of 900 and 80% in another paper with a maximum marks of 700. If the result is based on the combined percentage of two papers, the combined percentage is