The domain of $f(x) = \frac{\log_2(x + 3)}{x^2 + 3x + 2}$ is

$A$ survey shows that $73 \%$ of the persons working in an office like coffee,whereas $65 \%$ like tea. If $x$ denotes the percentage of them who like both coffee and tea,then $x$ cannot be

Consider the two sets:
$A = \{m \in R : \text{both the roots of } x^{2} - (m+1)x + m+4 = 0 \text{ are real}\}$ and $B = [-3, 5)$.
Which of the following is not true?

Find the cardinal number of the following set ${x: x = 2n, n \in N, 4 \leq x \leq 11}$.

The domain of the function $f(x) = \log_{3 + x}(x^2 - 1)$ is

In a class of $30$ pupils,$12$ take needle work,$16$ take physics,and $18$ take history. If all the $30$ students take at least one subject and no one takes all three,then the number of pupils taking $2$ subjects is: