Question

Select the option that has the correct numbers for the missing values in the table for the given patterns.
$\begin{array}{cc}\text{Number of students}& \text{Number of teams}\\ 65& 5\\ b& 4\\ c& a\\ d& 2\\ 13& 1\end{array}$

• A. $a=3;b=26;c=39;d=52;$
• B. $a=2;b=52;c=39;d=26;$
• C. $a=2;b=26;c=39;d=52;$
• D. $a=3;b=52;c=39;d=26;$

Answer 1

The correct option is D $a=3;b=52;c=39;d=26;$

$\begin{array}{ccc}\text{Number of students}& & \text{Number of teams}\\ 65& ÷13& 5\\ 13\times 4=52& ÷13& 4\\ 13\times 3=39& ÷13& 2+1=3\\ 13\times 2=26& ÷13& 2\\ 13& ÷13& 1\end{array}$

We can clearly see that to get the term in the “number of teams” column, we must divide the term in the “number of students” column by 13.
The relationship between the number of students and the number of teams is that the number of teams is one-thirteenth of the number of students.
So, the missing values are:
$a=3;$
$b=52;$
$c=39;$
$d=26;$
Hence, option D is correct.