Quantitative Aptitude - Arithmetic Ability Questions

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is

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?

The slopes of two lines are 1 and √3. What is the angle between these two lines?

Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark (?) in figure C.

What is the equation of the line whose y-intercept is -3 and makes an angle of 45° with the positive x-axis?

The length of one side and the diagonal of a rectangle are 5 cm and 13 cm respectively. Find its area (in cm2).

If the angles of a triangle are in the ratio of 1 : 4 : 7, then find the ratio of the greatest angle to the smallest angle.

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.