Quantitative Aptitude - Arithmetic Ability Questions

If 5 -­ 5x < 4 -­ x and 2 -­ x < 6 -­ 4x, then x can take which of the following values?

If the angles of a triangle are in the ratio of 2 : 3 : 7, then find the ratio of the greatest angle to the smallest angle.

The sum of the parallel sides of a trapezium is 12.4 cm. If the distance between the parallel sides is 3.5 cm, what is the area of this trapezium?

On dividing 221a2b2 by 13b2, we get _____.

The point P(3,­-2) divides the segment joining the points (x,0) and (0,y) in the ratio 1:3. Find x and y?

If x+5+1x+1=6 then the value of (x+1)3+1(x+1)3 is

In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?

ABC is a right angled triangle with angle A = 90 deg. Then the value of cos2A+cos2B+cos2C is