Quantitative Aptitude - Arithmetic Ability Questions

If 49 is subtracted from the square of a number, then the result obtained is 576. What is the number?

In a rhombus _____.

From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (√3=1.732)

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

What is the value of 26 + 152?

T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then

The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume pf the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is

The denominator of a rational number exceeds its numerator by 10. If the numerator is increased by 4 and the denominator is reduced by3, the number obtained is 5/6. The original rational number is