Simplify, correct to three significant figures, (27.63)\(^2\) - (12.37)\(^2\)

If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y

If 7 + y = 4 (mod 8), find the least value of y, 10 \(\leq y \leq 30\)

If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\) = {x : 0 < x ≤ 10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)).

Express, correct to three significant figures, 0.003597.

If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.

Evaluate; \(\frac{\log_3 9 - \log_2 8}{\log_3 9}\)

Solve: \(\frac{y + 1}{2} - \frac{2y - 1}{3}\) = 4

Evaluate: (0.064) - \(\frac{1}{3}\)