Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Solve the following equation.

$(7^ 3 − 7^ 2 + 6) × (6^ 3 − 2^ 3 − 3^ 2 + 1) ÷ (21^2 + 20^2 − 41)$ = ___________.

Options:

75

40

50

25

Correct Answer:

75

Explanation:

$(7^ 3 − 7^ 2 + 6) × (6^ 3 − 2^ 3 − 3^ 2 + 1) ÷ (21^2 + 20^2 − 41)$ =

= (343 - 49 + 6) × ( 216 - 8 - 9 + 1 ) ÷ ( 441 + 400 - 41)

= 300 × 200 ÷ 800

= 60000 ÷ 800

= 75