A number x when divided by 289 leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is

 If a ² + b ² + 4c ² = 2(a + b – 2c) – 3 and a, b, c are real, then the value of (a ² + b ² + c ²) is

Find the simlest value of 2√50+√18-√72 (given √2 = 1414).

If 4x-3/x+4y-3/y+4z-3/z = 0

then the value of 1/x + 1/y + 1/z is

If x2 – 3x + 1 = 0, then value of

x2 + x + 1/x+1/x2 is

The simple interest on Rs. 4000 in 3 yr at the rate of x% per annum equals to the simple interest on Rs. 5000 at the rate of 12% per annum in 2 yr. The value of x is