Quantitative Aptitude - Arithmetic Ability Questions

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

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10:3 at 6% simple interest per annum?

The selling price of an item inclusive of a 16% profit was Rs. 435. What would be the percentage loss if the item was sold for Rs. 330?

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

ABC is a triangle if sin (A+B2)=32 then the value of Sin c2 is

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

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