Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

In the following questions two equations numbered I and II are given. You have to solve boththe equations and give answers

I. 2x ² –21x + 54 = 0

II. y ² –14y + 49 = 0

If a + b = 4 and ab = 3, then what is the value of a3 + b3?

If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/x81)?

What is the value of Cot 60°- Sec 45°?

Ravindra walks at 6 km/hr and Riya cycles at 11 km/hr towards each other. What was the distance between them when they started if they meet after 42 minutes?

A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what
percent of material is wasted?

The railway fares of air conditioned sleeper and ordinary sleeper class are in the ratio 4:1. The number of passengers travelled by air conditioned sleeper and ordinary sleeper classes were in the ratio 3:25. If the total collection was Rs. 37,000, how much did air conditioner sleeper passengers pay?