Find tan 9 − tan 27 − tan 63 + tan 81 ( all angles in degrees)

The largest value of min (2 + x², 6 - 3x) when x > 0 is

 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

If (h – 3) = 4h – 7, then which of the following could be the value of h?

Which of the following value of x do not satisfy the inequality (x² - 3x + 2 > 0) at all?

If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:

If x varies as y² + 2 and is equal to 36 when y = 4, find x when y = 12.

Find the number of solutions in positive integers (k; a₁, a₂, . . . , ak; b₁, b₂, . . . , bk) to the equation a₁(b₁) + a₂(b₁ + b₂) + · · · + ak(b₁ + b₂ + . . . + bk) = 7

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)³ = z (y + z)³ = x (z + x)³ = y

If (c – 5) = 4c – 7, then which of the following could be the value of c?