Quantitative Aptitude - Arithmetic Ability Questions

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

What is the value of (4a2 + 8b + 14c + 2)/2 ?

A wholesaler purchased 7 hair clips for a rupee. How many for a rupee must he sell to get profit of 40%.

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?

If a2+1=9a, (a≠0) then the value of a2+1a2 is

The side BC of the ΔABC is extended to the point D. If ∠ ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B 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?

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