Quantitative Aptitude - Arithmetic Ability Questions

What is the value of Cot 60 - Sec 30?

If x2-3x+1=0, then x+1x is (x≠0)

For what value of X, 211X will be a perfect square?

Find the value of sin230 cos245 + 4 tan230 + 1/2sin290 - 2 cos290 + 1/24

If (sinA + CosA)/(sin A - cos A) = 5/4, the value of (tan2A + 1)/(tan2A - 1) = ?

The average of 5 consecutive numbers is 50%, then difference between 'product of largest and smallest number' with 'product of fourth and second number' is

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

Yaman sold an item at a loss of 10%. If he had sold it for Rs.57 more, he would have made a profit of 20%. What should be the selling price of the item to make a profit of 30%?