Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If function $(x + 296 × 298)$ is a perfect square, then the value of $x$ is:

Options:

0

1

2

3

Correct Answer:

1

Explanation:

The correct answer is Option (2) → 1

The expression is interpreted as:

$x + 296 \times 298$

First simplify the product:

$296 \times 298 = (297 - 1)(297 + 1) = 297^2 – 1$

So the expression becomes:

$x + (297^2 - 1)$

For this to be a perfect square, we want:

$x + (297^2 - 1) = 297^2$

That gives: $x = 1$