Quantitative Aptitude - Arithmetic Ability Questions

Which of the following quadratic equations has real roots?

What is the area (in sq cm) of a rectangle if its diagonal is 51 cm and one of its sides is 24 cm?

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

What is the value of (1/2) Sec 30° + √2 Tan 60°?

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are

If x=2+3,then the value of x2-x+1x2+x+1 is