Quantitative Aptitude - Arithmetic Ability Questions

What approximate value should come at the place of question mark (?) in the following questions (You are not expected to calculate the exact value).

(111.93 × 5) ÷ 14.02 = 11.002 + ?

In an equilateral triangle of side 24 cms, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is equal to

x and y are two numbers such that their mean proportion is 9 and third proportion is 243. What is the value of x and y?

Seven years ago, the average age of A, B and C was 51 years. If A is 3 years older than B and B is 3 years older then C then the present ages of A, B and C are ( in year)

Rakesh’s present age is 36 years. If 12 years ago, Deepak’s age was one-fourth of Rakesh’s age, then after 27 years what will be the age (in years) of Deepak?

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

In a mixture, unbroken and broken rice grains are in the ratio 3 : 2. How much fraction of the mixture must be drawn off and substituted with broken grains, so that the ratio of unbroken and broken grains becomes 1 : 1?

If 1 shirt is offered free on purchase of 3 shirts priced Rs 500 each, then what is the effective discount on each shirt?