Teachoo MCQ Test

Assertion Reasoning Quiz

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

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 504
Question 1 of 6
Advertisement
Question 1 of 6
Assertion (A):
The combination of the set of rational numbers and the set of irrational numbers perfectly fills the Real Number Line.
Reason (R):
Every point on the real number line corresponds to a unique real number, and every real number can be represented by a unique point on this line.
Select one option. Answers are shown after the test.
Question 2 of 6
Assertion (A): If \(\frac{a}{b}=\frac{c}{d}\), then \(ad=bc\).
Reason (R): This conclusion remains valid even when \(b=0\) or \(d=0\).
Select one option. Answers are shown after the test.
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.
Select one option. Answers are shown after the test.
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 \(100x-10x=16.\overset{―}{6}-1.\overset{―}{6}=15\).
Select one option. Answers are shown after the test.
Question 5 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.
Select one option. Answers are shown after the test.
Question 6 of 6
Higher-order reasoning
Assertion (A): The product of two irrational numbers is always irrational.
Reason (R): \(\sqrt{2}\times \sqrt{2}=2\).
Select one option. Answers are shown after the test.