Quantitative Aptitude - Arithmetic Ability Questions

Twenty one times of a positive number is less than its square by 100. The value of the positive number is

The solution set of 4x - 3y = 47 and 3x + y = 32 is

By increasing the price of entry ticket to a fair in the ratio 13:16, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

If cot ­-4π/3 = x, then the value of x is

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

If 1/4th of the wall is painted blue, 1/2 is painted yellow and remaining 3 m is painted white, what is the length of the wall?

If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is

If θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is