Quantitative Aptitude - Arithmetic Ability Questions

If 2x+2x=3,then the value of x3+1x3+2 is

If P/Q = R/S = T/U = 3/4 is (4P + 5R + 7T) : (3Q + 4S + 7U)?

If x – (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2 – 3x + 2) / (3x4 + 3)?

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

If x+19x=4, then 9x2+19x2 is

If  P2+1P2 = 47, then the value of P + 1P is

If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P2 + 1/Q2?

A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in _____.