For the following questions answer them individually
If $$x^2 + ax + b$$, when divided by $$x - 3$$, leaves a remainder of 22 and $$x^2 + bx + a$$, when divided by $$x - 3$$, leaves a remainder of 24, then $$a + b = ?$$
Consider the given argument and decide which of the given assumptions is (are) implicit.
Argument:
All the faculty members are instructed to reach the college by 9.00 A.M.
Assumptions:
1. Some faculty members do not come on time.
2. Faculty members will follow all the instructions in the notice.
Kaushik bought a toy for ₹ 160 and sold it for ₹ 180. The rate of profit was ......%