Quantitative Aptitude - Arithmetic Ability Questions

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

Which of the following equations has real and distinct roots?

If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?

Find the value of 491321973

In the following question, select the odd word from the given alternatives.

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 60 cm² and 5 cm respectively?