Quantitative Aptitude - Arithmetic Ability Questions

If (x/y)a-4 = (y/x)2a-5, then what is the relation between x and y?

∆XYZ is right angled at Y. If m ∠Z = 60. What is the length (in cm) of YZ, if ZX = 9√3 cm?

In the figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3:5 and AC= 40, then what is the value of DE?

U and V started a business by investing amounts Rs 184000 and Rs 224000 respectively. If U’s share in the profit received at the end of year is Rs 20700, then what will be the total profit (in Rs)earned by them together?

If the ratio of the cost price and the selling price of an article be 4:5, then the percentage of profit is:

In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

The standard deviation of the set {10, 11, 9, 11, 9} is

If √(1 - sin2A) = x, then the value of x is