Quantitative Aptitude - Arithmetic Ability Questions

Which of the following quadratic equations has equal roots?

If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?

Find the area (in cm²) of a semi-circle of radius 21 cm.

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

If 3x + 2 < 2x + 1 and x ­- 4 ≤ 2x -­ 1; then x can take which of the following values?

There are 10 dozen apples, 15 dozen mangoes and 20 dozen oranges for selling. If 1/2, 1/3 and 1/4 of them are sold respectively. How many of the total fruits are remaining?

The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be in sq.cm:

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