Quantitative Aptitude - Arithmetic Ability Questions

A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?

Δ PQR is right angled at Q. If m√R = 30°, then what is the value of Cot P?

A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take π = 22/7)

If cotA = x, then the value of x is

A box of sweets was distributed between A and B in the ratio 3 :4. If A got 36 sweets , what was the total no.of sweets

What is the remainder, when 4x4 +10x3-20x2+90 is divided by (x+2) ?

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

If x, y, z are the three factors of a3 -7a - 6, then value of x+y+z will be