Quantitative Aptitude - Arithmetic Ability Questions

Kishan cycled a distance of 120 km at a certain speed. If he cycled 2 km slower every hour, he would have taken 3 more hours to reach his destination. What is the speed in kmph at which Kishan actually cycled?

A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere?

The average of a,b,c is 20 and that of b,c,d is 25; if d=30, then the value of a is

If x + (1/x) = 2, then what is the value of x21 + (1/x1331)?

The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is

If Sin x = 4/5, then Cosec x + Cot x =

If x3+ 2x2– 5x + k is divisible by x + 1, then what is the value of k?

In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm, BR = 4 cm, PB = 6 cm, PA = 5 cm and AD = 3 cm. What is the area in sq.cm of the quadrilateral ABCD?