Teachoo MCQ Test

Assertion Reasoning Quiz

Chapter 5 Class 11 Linear Inequalities | 6 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 528
Question 1 of 6
Question 1 of 6
Assertion:Sunita must score at least \(82\) in her fifth examination to obtain an average of at least \(90\), given marks \(87,92,94,95\) in the first four.
Reason:Her average in the first four examinations is \(92\).
Select one option. Answers are shown after the test.
Question 2 of 6
Assertion:The graph represents the solution \(x<3\).
Reason:An open circle excludes the boundary value, and a ray extending left represents values smaller than the boundary.
3
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Question 3 of 6
Assertion:The graph represents the solution of \(-8\le 5x-3<7\).
Reason:A double inequality is solved by satisfying both component inequalities simultaneously.
−12
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Question 4 of 6
Assertion (A): The solution set of \( 5x - 3 < 7 \) when \( x \) is an integer is \( \{..., -2, -1, 0, 1\} \).
Reason (R): Solving \( 5x - 3 < 7 \) yields \( x < 2 \), and the integers strictly less than 2 are 1, 0, -1, etc.
Select one option. Answers are shown after the test.
Question 5 of 6
Assertion:The graph represents the solution of \(4x+3<6x+7\).
Reason:Solving \(4x+3<6x+7\) gives \(x>-2\), and the point \(-2\) must therefore be shown by an open circle.
−2
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Question 6 of 6
Assertion:The graph represents the solution of \(-12x>30\).
Reason:Dividing an inequality by a negative number reverses its sign, while a strict inequality remains strict.
−5/2
Select one option. Answers are shown after the test.