Quantitative Aptitude - Arithmetic Ability Questions

If ax + by = 1 and bx + ay = 2aba2+b2 then x2+y2a2+b2 is equal to

If a + b = 8 and ab =15, then a3 + b3 is

If 2x - 3 = 3x - 5, then the numerical value of (x - 3)2 is

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

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 1:5 and length of QR is 15 cm, find ST?

In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar?

One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 20 cm, what is the area of the rhombus?

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2),then the value of k is