Teachoo MCQ Test

Assertion Reasoning Quiz

Preparing for CBSE

Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I) | 6 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 576
Question 1 of 6
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Question 1 of 6
Assertion: \(193^{2}=37,249\).
Reason: Using \((a-b)^{2}=a^{2}-2ab+b^{2}\), \(193^{2}=(200-7)^{2}\).
Select one option. Answers are shown after the test.
Question 2 of 6
Assertion: For all real numbers \(a\) and \(b\), \((a+b)^{2}\gt a^{2}+b^{2}\).
Reason: \((a+b)^{2}-(a^{2}+b^{2})=2ab\).
Select one option. Answers are shown after the test.
Question 3 of 6
Assertion: The algebra-tile arrangement for \(x^{2}+7x+12\) can have side lengths \(x+2\) and \(x+5\).
Reason: The constant parts of the side lengths must have sum \(7\) and product \(12\).
Select one option. Answers are shown after the test.
Question 4 of 6
Assertion: In \(\frac{x^{2}-7x+12}{5x^{2}+5x-100}\), the common factor \(x-4\) may be cancelled when the original denominator is non-zero.
Reason: The denominator factors as \(5(x-4)(x+5)\), so the non-zero-denominator condition ensures \(x-4\ne 0\).
Select one option. Answers are shown after the test.
Question 5 of 6
Assertion (A): The product of \(104\times 96\) can be calculated as \(10000-16=9984\).
Reason (R): We can use the identity \((a+b)(a-b)=a^{2}-b^{2}\) where \(a=100\) and \(b=4\).
Select one option. Answers are shown after the test.
Question 6 of 6
Assertion: \(x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})\).
Reason: \(x-y\) is also a factor of \(x^{4}-y^{4}\).
Select one option. Answers are shown after the test.