Quantitative Aptitude - Arithmetic Ability Questions

Iftan 450=cot∅, then the value of ∅, in radians is 

Rs. x invested at 8% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 7.5% simple interest per annum for 6years. Find x : y.

If the roots of the equation a(b – c)x2 + b(c – a)x + c(a – b) = 0 are equal, then which of the following is true?

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

A's salary was decreased by 50% and subsequently increased by 50%. How much percent does he lose?

What is the simplified value of 18 - 12 ?

Two numbers are in the ratio 5:6 when 6 is added to each, the ratio becomes 7:8 then the numbers are

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?