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Maths Linear Inequalities Class 11 Assertion and Reason Questions

Assertion Reasoning Quiz · Class 11 · Maths · CBSE

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Chapter 5 Class 11 Linear Inequalities | 6 questions | about 5 minutes

Practise Linear Inequalities Class 11 with Teachoo's Assertion Reasoning Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 6
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Question 1 of 6
Assertion (A): If a student obtains 70 and 75 marks in the first two tests, the minimum marks needed in the third test to average at least 60 is 35.
Reason (R): The inequality formulation is \( \frac{70 + 75 + x}{3} \ge 60 \).
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Question 2 of 6
Assertion:A student scoring \(70\) and \(75\) in the first two tests needs \(x\ge35\) in the third test to have an average of at least \(60\).
Reason:The phrase “at least \(60\)” is translated as an average strictly greater than \(60\).
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Question 3 of 6
Assertion (A): The graphical representation of \( 2x - 4 < 0 \) on a number line corresponds to the solution interval \( (-\infty, 2) \).
Reason (R): \( 2x - 4 < 0 \Rightarrow 2x < 4 \Rightarrow x < 2 \). Since it is a strict inequality, the boundary point 2 is excluded, and the solution covers all values strictly less than 2.
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Question 4 of 6
Assertion:For board lengths \(x\), \(x+3\), and \(2x\) cut from a \(91\) cm board, with the third piece at least \(5\) cm longer than the second, the possible values are \(8\le x\le22\).
Reason:The total-length condition alone produces both the lower bound \(x\ge8\) and the upper bound \(x\le22\).
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Question 5 of 6
Assertion (A): The system of inequalities \( 3x - 7 < 5 + x \) and \( 11 - 5x \le 1 \) has no solution.
Reason (R): The first inequality yields \( x < 6 \) and the second yields \( x \ge 2 \). Their intersection is the interval \( [2, 6) \).
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Question 6 of 6
Assertion (A): If a chemical solution must be kept between \( 30^\circ C \) and \( 35^\circ C \), its Fahrenheit range is \( 86^\circ F < F < 95^\circ F \).
Reason (R): The relationship between Celsius and Fahrenheit is \( F = \frac{9}{5}C + 32 \), which is a linear function preserving inequalities.
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