Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of 0.042+0.212-0.00840.043+0.213

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

If cos -225° = x, then the value of x is

In a college, 25% of male faculties are same in number as 1/3rd of the female faculties. What is the ratio of male faculty to female faculty in that college?

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π=22/7)

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?

The difference between Peter and Preeti's ages is 5 years. When they married each other 35 years ago, 4 times Peter's age was the same as 5 times the age of Preeti. What is the current sum of their ages?

In triangle ABC, O is the orthocenter and angle BOC is 120 deg. Calculate angle BAC.