Quantitative Aptitude - Arithmetic Ability Questions

2sin[(C+D)/2].cos[(C­-D)/2] is equal to

If  a+1/a = 3, then a3+1a3?

Find the odd word/letters/number from the given alternatives.

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

The effective annual rate of interest corresponding to a nominal rate of 7% per annum payable half­yearly is

From point P, at 6 : 30 pm, a train starts moving towards Q with the speed of 40 km/hr. Another train starts moving from point Q at 7:30 p.m. towards point P at the speed of 60 km/hr. Both of them meet at 11:30 p.m. at point R. What is the ratio of PR and QR?

P and Q undertook to do a work for Rs 7200. P alone could do it in 20 days and Q alone in 12 days. With the assistance of R they finished the work in 5days. What is the share (in Rs) of R?

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC. If AD = x cm, DB = (x – 3) cm, AE = (x + 3) cm and EC= (x – 2) cm, then what is the value (in cm) of x?