Quantitative Aptitude - Arithmetic Ability Questions

If Cos θ = 5/13, then Cosec θ = ?

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

If α and β are the roots of the equation x2+ x – 1 = 0, then what is the equation whose roots are α5 and β5?

What number should be added to each of 4, 16, 18 and 58 so that the resulting numbers will be in proportion in the given order?

 In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.

What will be the quotient when 2143 is divided by 38?

Find length of the arc whose central angle is 45° and radius of the circle is 28 cm?

If 8x/3 + [7(5 - 2x/3)]/2 = 1/2 , then what is the value of x?