Teachoo Quiz

Assertion Reasoning Quiz

Chapter 3 Class 9 - The World of Numbers (Ganita Manjari I) | 6 questions | about 5 minutes

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Question 1 of 6
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Question 1 of 6
Higher-order reasoning
Assertion (A): There are infinitely many rational numbers between \(\frac{2}{5}\) and \(\frac{3}{5}\).
Reason (R): Repeatedly taking the average of two rational numbers produces new rational numbers lying between them.
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Question 2 of 6
Higher-order reasoning
Assertion (A): \(\sqrt{18}\) is irrational.
Reason (R): \(\sqrt{18}=3\sqrt{2}\), and the product of a non-zero rational number with an irrational number is irrational.
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Question 3 of 6
Assertion (A):
The absolute value of \(-\frac{5}{3}\) is exactly equal to the absolute value of \(\frac{5}{3}\).
Reason (R):
The absolute value of a rational number represents its distance from zero on the number line, which is always a non-negative value.
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Question 4 of 6
Higher-order reasoning
Assertion (A): The number \(0.1\overset{―}{6}\) is equal to \(\frac{1}{6}\).
Reason (R): If \(x=0.1\overset{―}{6}\), then \(100x-10x=16.\overset{―}{6}-1.\overset{―}{6}=15\).
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Question 5 of 6
Higher-order reasoning
Assertion (A): For any rational numbers \(a\) and \(b\), the distance between them is \(a-b\).
Reason (R): Distance on the number line is always non-negative.
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Question 6 of 6
Assertion (A):
There is no rational number strictly between \(\frac{1}{3}\) and \(\frac{1}{2}\).
Reason (R):
The average of any two distinct rational numbers is always a rational number that lies strictly between them.
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