Quantitative Aptitude - Arithmetic Ability Questions

If a2b+c=b2c+a=c2a+b=1 then the value of 21+a+21+b+21+c

To cover a distance of 333 km in 2 hours by a car, what should be the average speed of the car (in meter/second)?

The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in sq.cm) of largest in circle that can be formed in that triangle?

What is the simplified value of [(sec3x – tan3x)/(sec x – tan x)] – 2 tan2x – sec x tan x?

An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC=AD. Then what will the measure of the angle BCD?

If 35% of A is equal to 60% of B, then what is the ratio of A and B?

The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter(in cm) of the other circle.

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?