Quantitative Aptitude - Arithmetic Ability Questions

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?

Of the 3 numbers whose average is 70, the first is 1/9 times the sum of other 2. The first number is

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

X, Y and Z are partners in a company. In one year X receives 1/4 part of profit, Y receives 1/5 part of profit and Z receives Rs 22000. How much amount (in Rs) will X get as profit?

If cot(A/2) = x, then x is equal to

If x = 3+13, then the value of x-12642x-1x-233 is

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

If (6x ­- 1) -­ (8x -­ 5) = 7, then the value of x is _______ .