Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

If x2+ x = 19, then what is the value of (x + 5)2+ [1/(x + 5)2]?

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

If a-b=1 and a3-b3 = 61, then the value of ab will be

What is the value of tan­ -240°?

Find out the odd word/letters/number/number pair from the given alternatives.

6.651 -­ (148.6 ­- x ) -­ 57.22 = 6.098. Find x.

In the given figure,PQ = PS = SR and QPS = 40 deg, then what is the value of QPR (in deg) ?