Quantitative Aptitude - Arithmetic Ability Questions

A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?

What is the value of [12/(√5 + √3)] + [18/(√5 – √3)]?

In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in sq.cm) of the shaded region?

The average of 29 consecutive even integers is 60. The highest of these integers is

If (x/y)a-4 = (y/x)2a-5, then what is the relation between x and y?

For what value of k, the expression x6– 18x3 + k will be a perfect square?

(1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?