Quantitative Aptitude - Arithmetic Ability Questions

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

If a + b = 4 and ab = -5, then what is the value of a3 + b3?

A train starts moving from a place P at 10:00 a.m. and arrives at another place Q at 5:30 p.m. on the same day. If the speed of the train is 50 km/hr, then what will be the distance (in km) covered by the train?

Working 10 hours a day, Aman can complete a piece of work in 18 days. How many hours a day should he work so as to finish the work in 15 days?

A can do 1/3rd of a work in 5 days and B can do 2/5th of this work in 10 days. Both A and B, together can do the work in

Find the least number which when divided by 20, 25, 35 and 40 leaves remainder 14, 19, 29 and 34 respectively?

The mid points of AB and AC of the Δ ABC are P and Q respectively. If PQ = 6 cm, then the side BC is

The value of tan80° tan10° + sin270° + sin20∘