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 

Find the area of quadrilateral formed by joining points (4,2), (8,2), (8,14) and (4,10). 

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?

If $$ 5^{5x+1}=1 $$, then x equals

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

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