Quantitative Aptitude - Arithmetic Ability Questions

If -3[1-(x/2)] + 5x/3 = 1/6, then what is the value of x?

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

The area of a semicircle is 1925 sq.cm. Calculate its perimeter (in cm).

A shopkeeper purchased a chair whose marked price is Rs 1400, at two successive discount of 20% and 30% respectively. If he sells the chair for Rs 1176, then what is the profit percentage?

The ratio between Ram's age and Rahim's age is 10:11. What is the age of Rahim in percentage of Ram's age

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is:

Find the mean and mode of the numbers 1, 9, 5, 4, 2, 1, 9, 9, 2, 1, 9, 1, 2, 1?