Quantitative Aptitude - Arithmetic Ability Questions

What is the quotient when 7251 is divided by 66?

If cos 60° - sec 30° = x, then the value of x is

The angles of elevation of top and bottom of a flag kept on a flag post from 30 metres distance, are 45 and 30 deg respectively. Height of the flag is [taking √3 = 1.732]

What is the value of (4a2 + 8b + 14c + 2)/2 ?

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

If X + Y + Z = 9 then the value of (X -­ 4)3 + (Y -­ 2)3 + (Z -­ 3)3 - 3 (X -­ 4) (Y -­ Z) (Z ­- 3) is

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?

A square playground measures 1127.6164 sq.m. If a man walks 2 9/20 m a minute, the time taken by him to walk one round around it is approximately.