Quantitative Aptitude - Arithmetic Ability Questions

In a fraction when 3 is added to its numerator and denominator it becomes 4/5. And it becomes 1/2 when 2 is subtracted from both the numerator and denominator. Find the fraction.

Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?A. 154 square cmB. 308 square cmC. 462 square cmD. 616 square cm

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

The value of (1 - √2) + (√2 - √3) + (√3 - √4) + ..... + (√15 - √16) is

$$\begin{gathered} If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of \\ x + y + z – 5? \end{gathered}$$

If 3x + 2 < 2x + 1 and x ­- 4 ≤ 2x -­ 1; then x can take which of the following values?

If tan ­-5π/3 = x, then the value of x is

In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?