If $${x}^2+{y}^2x+1=0$$ then the value of $$x^{31}+y{35}$$ is

An amount of money is to be divided among Sakshi, Aastha and Ruchita in the ratio of 3: 5: 7 respectively. If the amount received by Ruchita is Rs. 8000 more than the amount received by Aastha, what will be the average amount received by Sakshi & Aastha?

The pie chart below represents the instruments played by students of a school. Read the chart and answer the following questions based on it.

The ratio of students who play Guitar to Violin 

If a = 2.234, b = 3.121 and c = –5.355, then the value of $$ a^3 + b^3 + c^3 – 3abc$$ is

A fraction becomes $${1\over 6}$$ when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes $${1\over 3}$$. Then, the LCM of the numerator and denominator of the fraction, must be 

If x tan45° cos30° = sin30° cos45°, then x is equal to - 

Simplify the following equation.
$${(785.785.785+435.435.435) \over(785)^{2}+(435)^{2}-(785)(435)}$$