Solve : (3.2 × 104) ÷ (2 ×

If 70% of ‘y’ is 25% more than 30% of 140, then value of ‘y’ is:

Find ‘x’ if (x³+3x)/(3x²+1) = 189/61

Find the common factor of (x² - 4x - 12) and (x² - 14x - 32).

The sum of two numbers is 45 and their difference is 9. What is the larger number?

Determine the remainder when the polynomial 4x ³  - 5x ²  + 2x + 1 is divided by (4x - 3).

If  x = a(b - c), y = b(c – a) and z = c(a - b) , find the value of  (x/a)³ + (y/b)³ + (z/c)³?

If (a – 8) ²  + (b + 2)  ²  + (c – 3) ²  = 0, then find the value √(a +b + c).

If x ,y,z are three integers such that x +y = 8,y +z =13 and z +x =17,then the value of x² /yz   is:

If √n + (1/√n) = 6, then find the value of n + (1/n).