Quantitative Aptitude - Arithmetic Ability Questions

If a2+1=9a, (a≠0) then the value of a2+1a2 is

Find equation of the perpendicular bisector of segment joining the points (2,-5) and (0,7)?

∆DEF is right angled at E. If tanD = 4/3, then what is the value of tanF ?

If ΔABC is an equilateral triangle of side 16 cm, then the length of altitude is

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

The average weight of 25 bags is 55 kg. The weight of one bag was misread as 65 instead of 56. Find the correct mean value.

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 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?