Quantitative Aptitude - Arithmetic Ability Questions

In the following question, select the odd letter/letters from the given alternatives.

The diagonal of a cube is 192 cm. Its volume in cm3 will be 

There were 24 studentsina class. One of them, who was 18 years old, left the class and his place was filled up by a new comer.Ifthe average of the class was thereby lowered by 1 month, the age of new comer is-

The average age of 40 students of a class is 16 years. If the average age of 24 students is 15.5 years and that of the 15 students is 16 2⁄3 years, then the age of 40th student is

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

If 5x ­- 3(4 ­ x) < 4x -­ 4 < 4x + 2x/3; then the value of x is

Select the related word/letters/number from the given alternatives.
1 : 8 :: ? :64