Quantitative Aptitude - Arithmetic Ability Questions

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

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+a) is the H.C.F of 2x2+5x-12 and x2+x-12 then find the value of a.

The cost of levelling a circular field at 50 Paise per square metre is Rs 7700. The cost (in Rs) of putting up a fence all round it at Rs 1.20 per meter is ( Use π = 22/7)

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

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

I. x2+ 30x + 81 = 0

II.y2-9y -162 = 0

The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?

A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over ­taken?