Question

In class $VIII$, the number of students increased and it was very hard to manage all the students in the same section. So class Teacher of the class decided to divide students into different sections. Number of students in section $B$ was $8$ more than Half the number of students in section $A$.

Now, which of the following mapping diagram(s) represent(s) the above condition?

• A.
• B.
• C.
• D.

Answer 1

Answer: (A), (B), (D)

According to the situation,
Let number of students in section $A$ be $x$
and in section $B$ be $y$
Now, half the number of students in section $A$ will be $\frac{x}{2}$
so Number of students in section $B$ will be $\frac{x}{2}+8$

Now, we can write the relation between $x$ and $y$ as
$y=\frac{x}{2}+8$
Now on putting different values of $x$, we will get the values of $y$ and will cross check all the mapping diagram.
Now, let us make table for different values of $x$ and $y$

$x\left(\text{students in section A}\right)$	$y\left(\text{students in section B}\right)$
$6$	$11$
$8$	$12$
$12$	$14$
$13$	$14.5$ Not Possible
$16$	$16$
$18$	$17$
$20$	$18$
$22$	$19$

when number of students in section $A$ is $13$ so students in section $B$ should be $14.5$ according to the condition which is not possible as students cannot be in fraction.

Now, comparing with the table we can say that mapping diagrams in options $\left(a\right),\left(b\right)$ and $\left(d\right)$ best explain the condition.