Quantitative Aptitude - Arithmetic Ability Questions

If cos 2π/3c = x, then the value of x is

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

If ΔABC is an equilateral triangle of side 16 cm, then the length of altitude is

A shopkeeper cheats to the extent of 8% while buying and selling fruits, by using tampered weights, his total gain in percentage is

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

Convert decimal number 101 to binary.

Four numbers, when arranged in ascending order, are w, x, y and z. The average of the smallest three numbers is 18, while the average of the largest three was 22. What is the range of the data?

If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divided by x - 3, leaves a remainder of 39, then a+ b = ?