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 (A): If the volume of a cube is \(p^{3}+6p^{2}q+12pq^{2}+8q^{3}\), the length of its side is \(p+2q\).
Reason (R): The volume of a cube is calculated using the formula \(V=(side)^{3}\).
Select one option. Answers are shown after the test.
Question 2 of 6
Assertion (A): The product of \((x+2)\) and \((x+3)\) can be found visually using algebra tiles by arranging them into a rectangle.
Reason (R): The dimensions of the resulting rectangle will be \((x+3)\) and \((x-2)\).
Select one option. Answers are shown after the test.
Question 3 of 6
Assertion (A): The value of \(43^{2}\) can be easily calculated as \(40^{2}+3^{2}=1609\).
Reason (R): For non-zero numbers, \((a+b)^{2}\ne a^{2}+b^{2}\).
Select one option. Answers are shown after the test.
Question 4 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 5 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 6 of 6
Assertion: A square playground of side \(40\) m with an outside path of uniform width \(s\) m has path area \(160s+4s^{2}\) square metres.
Reason: The side of the outer square is \(40+2s\), so the path area is \((40+2s)^{2}-40^{2}\).
Select one option. Answers are shown after the test.