Quantitative Aptitude - Arithmetic Ability Questions

Choose the odd word/letters/number/number pair from the given alternatives.

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

A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs. 450. what will be the share of A in this amount of money ?

The difference between compound interest and simple interest on Rs. 5000 for 2 years at 8% per annum payable yearly is

O is the orthocentre of∆ABC, and if ∠BOC = 110° then ∠BAC will be

In a ∆ABC, BC is extended upto D, ∡ACD =120°, ∡B = 1/2 A. Then ∡A is

What is the simplified value of [(sec3x – tan3x)/(sec x – tan x)] – 2 tan2x – sec x tan x?

In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects?