Quantitative Aptitude - Arithmetic Ability Questions

Given: 2x - 4 ≤ 2 - x/3 and 2(2x + 5) > 3x - 5, then x can take which of the following values?

What is the value of √2 Sec 45° + (1/√3)Tan 30°?

If a+1b = 1 and b+1c = 1 then c+1a = ?

On a certain principal if the simple interest for two years is Rs 2800 and compound interest for the two years is Rs 2996, what is the rate of Interest?

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 28090, and Rs 29775.4 respectively, what is the rate of interest?

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

If (x - 4) (x2 + 4x + 16) = x3 - P, then P is equal to

Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.