Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

$\frac{256\times 256 - 144 \times 144}{112}$ is equal to

Options:

320

360

400

420

Correct Answer:

400

Explanation:

$\frac{256\times 256 - 144 \times 144}{112}$

=  \(\frac{(256)²- (144)² }{256 - 144 }\)

Formula used :- a² - b²  = ( a - b ) × ( a + b )

=  \(\frac{(256 - 144)× ( 256 + 144 ) }{256 - 144 }\)

= ( 256 + 144 ) 

= 400

The correct answer is option (3) : 400