If a = 0.121212… (repeating) and b = √5, state

Q: Answer-If a = 0.121212… (repeating) and b = √5, state whether each is rational or irrational.

a 0.121212 is a repeating decimal it can be expressed as a fraction rational number. b 5 cannot be expressed as a ratio of two integers irrational number. Answer a is rational, b is irrational.

whether each is rational or irrational.

A a is rational and b is irrational Correct Answer Incorrect Answer

B a is irrational and b is rational Correct Answer Incorrect Answer

C Both a and b is rational Correct Answer Incorrect Answer

D Both a and b is irrational Correct Answer Incorrect Answer

Solution

a = 0.121212… is a repeating decimal ⇒ it can be expressed as a fraction ⇒ rational number. b = √5 cannot be expressed as a ratio of two integers ⇒ irrational number. Answer: a is rational, b is irrational.

Practice Next

More Quant Miscellaneous Questions

‘समकालीन’ का विलोम शब्द चुनिये
निम्नलिखित में से कौन सा ‘ आवधिक मूल्यांकन प्रणाली ‘ श...
निम्नलिखित में से Adulterant शब्द का वित्तीय शब्दावली में सह...
Growth fund के लिए पारिभाषिक शब्द है –
Development is about expanding the capabilities of the disadvantaged, thereby improving their overall quality of life.
दिए गए प्रत्येक प्रश्न में एक हिंदी का वाक्य दिया गया �...
दिए गए प्रत्येक प्रश्न में एक अंग्रेजी का वाक्य दिया गया �...
Convenor के लिए सही हिन्दी पारिभाषिक शब्द है-
In his cross examination, the witness corroborated his depositions made by him earlier.
निम्नलिखित में से दोषपूर्ण प्रतिभूतियां का पर्याय होगा ...

Relevant for Exams:

SSC GD Constable Exam

Thank You for posting your query. Please check your email for further guidance

Please Register/Login to Download Question