Question

In the following questions a specific group is given. From the given alternatives, find out the right term which matches the given group.
$42,20,56,$

• A. $36$
• B. $24$
• C. $16$
• D. $12$

Answer 1

The correct option is D $12$

The numbers given follow a pattern,

$6^2+6=42$

$(6-2{)}^2+(6-2)=4^2+4=20$

$(7+3{)}^2+(4+3)=7^2+7=56$

Similarly,

$(7-4{)}^2+(7-4)=3^2+3=12$ will be the next number.

Hence, $12$ is the correct alternative.