Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

$0 . \overline{42} \times(0.1 \overline{6} \div 0 . \overline{7})$ is equal to:

Options:

$0 . \overline{099}$

$0 . \overline{090}$

$0.0 \overline{9}$

$0 . \overline{09}$

Correct Answer:

$0 . \overline{09}$

Explanation:

$0 . \overline{42} \times(0.1 \overline{6} \div 0 . \overline{7})$

= \(\frac{42}{99}\) × \(\frac{15}{90}\) × \(\frac{9}{7}\)

= \(\frac{9}{99}\) = $0 . \overline{09}$