Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

The value of $27 × 6 ÷ 24 + 6 ÷ 2 of 3 + 30 ÷ 24 × 18 - 9 ÷ 54 of 3 × 216$ is:

Options:

-77.75

18.25

-69.75

26.25

Correct Answer:

18.25

Explanation:

27 × 6 ÷ 24 + 6 ÷ 2 of 3 + 30 ÷ 24 × 18 - 9 ÷ 54 of 3 × 216

= 27 × \(\frac{1}{4}\)+ 6 ÷ 6 + \(\frac{5}{4}\)× 18 - 9 ÷ 162 × 216

= \(\frac{27}{4}\) + 1 + \(\frac{45}{2}\) - \(\frac{1}{18}\) × 216

= \(\frac{27}{4}\) + 1 + \(\frac{45}{2}\) - \(\frac{1}{18}\) × 216

= \(\frac{27}{4}\) + 1 + \(\frac{45}{2}\) - 12

= \(\frac{(27 + 4 + 90 - 48)}{4}\)

= \(\frac{73}{4}\) = 18.25