Quantitative Aptitude - Arithmetic Ability Questions

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

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

If (36 - 16x) - (4x - 8) = 4, then the value of x is

The incomes of S and T are in the ratio 3 : 4 and their expenditures are in the ratio 1 : 1. If S saves Rs 4000 and T saves Rs 22000, then what will be the income (in Rs) of S?

In ∆ABC, ∡A + ∡B = 75 and ∡B + ∡C = 140, then ∡B =

The value of 1+tan2∅(1-sin2∅) is

A train 100 m long is running at a speed of 120 kms/hr. The time taken to pass a person standing near the line is

Deepti bought a set of cups for Rs. 175, but then had to sell it later to clear old stocks for Rs. 161. What is the percentage of loss that she had to incur?