Quantitative Aptitude - Arithmetic Ability Questions

If tan ­-5π/3 = x, then the value of x is

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

Find the odd word/letters/number pair from the given alternatives

Mohan earns a profit of 20% on selling a jean at 15% discount on printed price. The ratio of the cost price to printed price of the jean is

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel. 
What is the area of triangle ADC?

The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 396, then what is the difference between the first and the third number?

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