Question

Use mathematical relation between the numbers in the first three stars to find the missing numbers in fourth and fifth stars. Fourth
Fifth

• A. $c=4,d=-4$ and $e=0$
• B. $c=8,d=-2$ and $e=0$
• C. $a=-1$ and $b=-5$
• D. $a=-1$ and $b=5$

Answer 1

Answer: (A), (C)

$a=-1$ and $b=-5$

The numbers in the first three stars follows the relation:
For the fourth star, W = $-4$ and E = $Unknown$
As per the relation,

• The number in the top = $\text{W}\times \text{E}=4$

$\Rightarrow$ $(-4)\times$E$=4$ $\Rightarrow$ E $=-1$
$\Rightarrow a=-1$

• The number in the bottom = $\text{W}+\text{E}=(-4)+(-1)=-5$

$\Rightarrow b=-5$

For the fifth star, W = $Unknown$ and $\text{E}=Unknown$

As per the relation, the number in the top = W$\times$E = $-16$
$\Rightarrow$ There are many possible solutions for W and E that satisfy the above relation. But, as per the given options when W = $-4$ and E = $4$, both the relations

• W$+$E = $(-4)+4=0$, and
• W$\times$E = $-16$

are satisfied simultaneously.
$\therefore c=4,d=-4$ and $e=0$