Quantitative Aptitude - Arithmetic Ability Questions

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

If sin π/6 + sec π/6 = x, then x is

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

A wooden bowl is in shape of a hollow hemisphere of internal radius 7 cm and thickness 1 cm. What is the total surface area (in sq.cm) of the bowl? (Take:  = 22/7)

A contractor has got two orders A and B. On one (A) he spends Rs. 25,000 and makes a bill of Rs. 30,500. On the other (B) he makes a bill keeping a profit of 20%. Which of the two orders is more profitable to him?

The ratio of present ages of Ratna and Shantanu is 5:4. After 19 years the ratio of their ages will be 10:9. What is Ratna's present age?

In a committee there are 25 members. If two members whose ages are 64 years and 40 years are replaced by the two new members, then average age of 25 members is decreased by 2 years. What is the average age (in years) of the new members?