Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

What should replace the question mark?

\[\frac{854 × 854 × 854 - 276 × 276 × 276}{854 × 854 + 854 × 276 + 276 × 276}=?\]

Options:

1130

578

565

1156

Correct Answer:

578

Explanation:

\[\frac{854 × 854 × 854 - 276 × 276 × 276}{854 × 854 + 854 × 276 + 276 × 276}=?\]

(8543 - 2763 )/ (8542 + 2762 + 854*276)

a3-b3 = (a−b)(a2 + b2 + ab)

Thus the expression becomes: (854-276) = 576

The correct answer is Option (2) → 578