Quantitative Aptitude - Arithmetic Ability Questions

If Sinθ = √3/2 and 0°<θ<90°, then the value of tan(θ-15°) is

Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive X-axis?

If in a triangle ABC, Sin A = Cos B then the value of Cos C is

Select the odd word/letters/number/number pair from the given alternatives.

Which of the numbers given below is NOT rational?

If 493/29 = 17, then 4.93/0.0017 = ?