Quantitative Aptitude - Arithmetic Ability Questions

What is the value of 1sin490-θ+1cos290-θ - 1 ?

If 5x ­- 3(4 ­ x) < 4x -­ 4 < 4x + 2x/3; then the value of x is

The sum of a number and 4 times its reciprocal is 5. What is the number?

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

If √(1 + cot2A)/cotA = x, then the value of x is

What least value which should be added to 1812 to make it divisible by 7, 11 and 14?

If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2)

How long will Ramesh take to run round a square park of edge 50 meters, if he runs at the rate of 18 km/hr?