Question

Twice an integer is added to the square of the integer. Next, the result is increased by $1$. Which of the following could be the value of the final sum?

• A. $36$
• B. $42$
• C. $45$
• D. $48$
• E. $50$

Answer 1

The correct option is A $36$

Let the integer is $x$.
As per question, the calculation is $2x+x^2+1=(x+1{)}^2$
Try plugging in some real numbers until you get one of the answers.
As, $x$ $=1;(1+1{)}^2=4$
$x$ $=3;(3+1{)}^2=16$
$x$ $=5;(5+1{)}^2=36$
Hence,choice A is correct.