Quantitative Aptitude - Arithmetic Ability Questions

In ∆ABC two medians BE and CF intersects at the point O and P,Q are the midpoints of BO and CO respectively. If the length of PQ=3cm, then the length of FE will be

Gautam goes to office at a speed of 12 kmph and returns home at 10 kmph.His average speed is

A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then what fraction of work is left?

Two students appeared for an examination. One of them secured 21 marks more than the other and his marks were 80% of the sum of their marks. The marks obtained by them are

Select the odd word from the given alternatives.

Marked price of an item is Rs 500. On purchase of 2 items discount is 8%, on purchase of 3 items discount is 16%. Radha buys 5 items, what is the effective discount?

If α and β are the roots of equation x2 – 2x + 4 = 0, then what is the equation whose roots are α3/β2 and β3/α2?

What is the simplified value of cosec 2A + cot 2A?