Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an  equilateral triangle. What is the value in deg of EBZ?

What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

The sum of digits of a two-digit number is 9. When the digits are reversed, the number decreases by 45. Find the changed number.

What is the value of (√3 - sec60) ?

What is the value of 7293×16+676+169

The length of one side and the diagonal of a rectangle are 20 cm and 29 cm respectively. Find the length of its other side (in cm).

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.

ΔPQR is right angled at Q. If m∠R = 45°, then find the value of (tanP - 1/2).