Quantitative Aptitude - Arithmetic Ability Questions

In the figure, a circle touches quadrilateral ABCD. If AB = 2x + 3, BC = 3x - 1, CD = x + 6 and DA = x + 4, then what is the value of x?

When a number is increased by 21, it becomes 114% of itself. What is the number?

The income of a person is Rs 45000 and his expenditure is Rs 33000. If his income is increased by 22% and expenditure in increased by 11%, then what will be the percentage increase in his savings?

Δ DEF is right angled at E. If m∠D = 45°, then what is the value of cosecF X cotD?

The simplest form of 3565/1495 is

x and y are two numbers such that their mean proportion is 16 and third proportion is 128. What is the value of x and y?

If x = (√5) + 1 and y = (√5) – 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?

If Tan θ = 4/3, then what is the value of Sin θ?