Quantitative Aptitude - Arithmetic Ability Questions

Which of the following quadratic equations has real roots?

If (tanA ­- tanB)/(1 + tanAtanB) = x, then the value of x is

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

The circumference of a circle is 88 cm. Find its radius (in cm).

If (x ­- 2) (x -­ p) = x2 - ax + 6, then the value of (a -­ p) is

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

If P + 1P+2 = 1, then the value of P+23+1P+23-3 ?

The areas of two similar triangles ΔXYZ and ΔPQR are 100 sq cms and 25 sq cms respectively. If PQ = 4 cm then what is the length of XY (in cm)?