If x²+y²-4x-4y+8=0, then the value of x-y is: 

If α and β are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${α^3}\over{β^2}$$ and $${β^3}\over{α^2}$$.

Find the L.C.M of $$ {6x}{y^{2}z},{8x^{2}{y^{3}z^{2},{12{x^{3}{y^{3}z^{3}}}}}}$$.

In a two digit number if it is known that its unit digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is 

How many positive factors does 325 have?

Directions: The following bar graph shows the percentage breakup of a Sunil’s salary from year 2012 to 2016. With the given information, find the following questions.

If the ratio on saving in the year 2013 and 2016 are in the ratio 3 : 5. Then what is the ratio of EMI expenses in the year 2013 and 2016.

A started the business with the investment of Rs. 36000. B and C joined him with some investments after 3 and 6 months. The profit is divided in the ratio of 2 ∶ 3 ∶ 5 at the end of the year. Find the difference between the investment made by B and C in the business.

Two circles having radii 5 units intersect each other in such a way that each of them passes through the centre of the other. Then the length of their common chord is