Question 1 :
Classify the following set as 'singleton' or 'empty':  $D = \{d | d \in N, d^2 \le 0\}$

Question 2 :
How many elements does following set contains<br/>&#160;$B = \{x | x$ is a capital of India$\}$

Question 3 :
How many elements does following set contain?<br/>$F = \{y | y$ is a point of intersection of two parallel lines$\}$

Question 4 :
State whether the following statements are true(T) or false(F).Justify your answer.<br>A group of boys playing cricket is a set.

Question 5 :
State the following statement is True or False<br/>If $A= \{x |\sqrt{x} = 16\}$ , then the set $A$ is a singleton set.

Question 6 :
If &#160;$B = \{y | y^2 = 36\}$ then the set $B$ is a ______ set.

Question 7 :
If $A=\left\{ 2,4\left\{ 5,6 \right\} ,8 \right\} $, then which one of the following statements is not correct?

Question 11 :
Choose the correct answer from the given four options<br>If A = {x | x is a positive multiple of 3 less than 20} and B = {x | x is a prime number less than 20}, then n(A) + n(B) is

Question 12 :
The function $f(x)$ satisfies the condition $(x-2)f(x)+2f\left(\dfrac{1}{x}\right)=2$ for all $x\neq 0$. Then the value of $f(2)$ is

Question 14 :
Find the set of all solutions of the equation $2^{\left | y \right |}-\left | 2^{y-1}-1 \right |=2^{y-1}+1$, the solution includes<br>

Question 15 :
If $A$ and $B$ are two equivalence relations defined on set $C$, then

Question 16 :
State whether the following statement is true or false. Justify your answer.<br>The set of all crows is contained in the set of all birds.<br>

Question 18 :
Suman is given an aptitude test containing 80 problems, each carrying I mark to be tackled in 60 minutes. The problems are of 2 types; the easy ones and the difficult ones. Suman can solve the easy problems in half a minute each and the difficult ones in 2 minutes each. (The two type of problems alternate in the test). Before solving a problem, Suman must spend one-fourth of a minute for reading it. What is the maximum score that Suman can get if he solves all the problems that he attempts?