Quantitative Aptitude - Arithmetic Ability Questions

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

∆XYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

What is the value of x4+y4 when the value of x3+y3=8 and x+y=2 ?

Find out the odd word/letters/number/number pair from the given alternatives.

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder ?