Quantitative Aptitude - Arithmetic Ability Questions

From a point P on a level ground , the angle of elevation to the top of the tower is 30° . If the tower is 100m high , the distance of point P from the foot of the tower is ( Take √3 = 1.73)

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

What is the value of Cot 45° - (1/√3)Cosec 60°?

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?

If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of x + y + z – 5?

If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?

In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?

If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?