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Maths Linear Inequalities Class 11 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 11 · Maths · CBSE

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Chapter 5 Class 11 Linear Inequalities | 10 questions | about 8 minutes

Practise Linear Inequalities Class 11 with Teachoo's 10 Question MCQ (including Assertion) (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
Select the interval represented by the graph.
−32
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Question 2 of 10
A classroom can hold at most \(60\) tables and chairs altogether. If \(24\) tables are already placed, what is the maximum number of chairs that can be added?
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Question 3 of 10
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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Question 4 of 10
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 10
A tank contains \(640\) L of an \(8\%\) boric-acid solution. How much \(2\%\) solution, \(x\) L, should be added so that the final concentration is more than \(4\%\) but less than \(6\%\)?
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Question 6 of 10
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 7 of 10
Which inequality gives the solution shown below?
−3
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Question 8 of 10
Which inequality is represented by the number-line graph?
−2
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Question 9 of 10
A \(91\) cm board is cut into pieces of lengths \(x\), \(x+3\), and \(2x\) cm. The third piece must be at least \(5\) cm longer than the second. What is the range of \(x\)?
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Question 10 of 10
A medicine must be stored from \(68^\circ\text{F}\) to \(77^\circ\text{F}\), inclusive. Using \(F=\dfrac95C+32\), what is the corresponding Celsius interval?
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