NPAT 27th June 2021 Shift 1

If $$ U=\left\{1,2,3,4,5,6,7,8\right\} $$ is the universal set, $$ A=\left\{2,3,6,7\right\} $$, $$B=\left\{3,4,5,6\right\}$$, $$ C=\left\{5,6,7,8\right\} $$, then $$n[\overline{A}\cap\left(C - B\right)] + n[\overline{A}\cap(B\cup C)] = k $$ where $$\overline{A}$$ is the complement of set A. The value of k is :

Let U be the universal set, A and B be the subsets of U. If n(U) = 450, n(A) = 200, n(B) = 205 and $$n(A \cap B) = 15$$, then $$n(\overline{A} \cap \overline{B})$$ is equal to: ($$\overline{A}$$ and $$\overline{B}$$ are the complements of A and B, respectively)

$$ \text{For the nonempty sets A and B , which of the following is NOT true?} $$
$$ \left( \overline{A} \text{ is complement of A }\right) $$

$$\text{The range of the function } f \text{ defined by } f(x)=\sqrt{16-x^{2}} \text{ is:}$$

If $$ f(x)=\frac{x-1}{x+1} $$, then Which of the following will be true?

$$\text{A = R - {3} and B= R - {1}.Let }f:A\rightarrow B \text{ defined by }f(x)= \frac{x-2}{x-3}. \text{ What is the value of }f^{-1}\left( \frac{1}{2} \right)?$$

In an office, there are 215 employees who drink either tea or coffee. 94 out of them drink tea and 63 drink tea but not coffee. How many employees drink coffee but not tea?

The value of $$\left(\frac{2}{3}\div \frac{8}{15}+7\frac{1}{2}\times\frac{3}{5} \right)\div\left(5\frac{5}{6}\div3\frac{1}{2}\times 2\frac{1}{10} \right) \text{of } 2\frac{7}{8}$$ is:

What should be added to the following expression so that the stun is l?
$$\frac{\frac{9}{4}\times\frac{7}{18}\text{ }of \text{ }\frac{72}{49}-\frac{7}{5}\text{ }of\text{ }\frac{5}{28}\times2\frac{2}{5}}{\frac{3}{4}\div2 \text{ }of\text{ } \frac{2}{31}-\frac{5}{7}\div2\frac{2}{3}\times7\frac{3}{10}}$$

$$\text{The income of A is }\frac{2}{3} \text{ of B's income and expenditure of A is } \frac{3}{4}\text{ of B's expenditure. If one-third income of B is equal to the expenditure of A, then the ratio of savings of A and B will be:}$$