In a classroom there are 11 boys and 9 girls. Average age of each boy and each girl is 18 years and 15 years respectively. The sum of ages of all the boys, girls and a teacher whose age is ‘x’ years is 380 years. Find the value of ‘x’.

If (x²⁴  +  1)/x¹²  = 7, then the value of (x⁷²  +  1)/x³⁶  is 

If x = √7 + √6 and y = √7 - √6 , then the value of is (x² + y²)/(x³ + y³).

If x   = 107, then find the value of  x(x² - 12x + 48)  ?

If x + y + z = 20, x² + Y² + z² = 160 and x z = y², then find the value of x z?

The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:

? + (35)² = (130)² - (45)² - 2850

What is the simplified form of the expression?

(1 + x) (1 + x²) (1 + x⁴) (1 + x⁸) (1 – x)?

A.(1-x⁴⁰)

If 4x + 1/3x = 12 then find the value of 9x² +1/16x².