If  $$n+{2\over 3}n+{1\over2}n+{1\over7}n=97$$ then the value of n is : 

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0

P = 12xy – 10y² – 18x²,

Q = 14x² + 12y² + 9xy, and

R = 5y² – x² + xy

then (P + Q) – R =

The expression   $${15(\sqrt { 10}+\sqrt { 5})\over \sqrt { 10}+\sqrt { 20}+\sqrt { 40}-\sqrt { 5}-\sqrt { 80}     }$$ is equal to:

If $$x+{1\over x}=c{1\over c}$$ then the value of x

If x = y = 333 and z = 334, then the value of x³ + y³ + z³ – 3xyz is

If 9x² + y² = 37 and xy = 2, x, y>0, then the value of (27x³+ y³) is:

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 2x³ = $$ \sqrt {256}$$
 (ii) 2y² – 9y + 10 = 0