Teachoo MCQ Test

10 Question MCQ (including Assertion)

Chapter 5 Class 11 Linear Inequalities | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
Question 1 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 \(60\).
Select one option. Answers are shown after the test.
Question 2 of 10
Solve \( -12x > 30 \) when \( x \) is an integer.
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Question 3 of 10
Assertion (A): If \( x > y \), then \( x + c > y + c \) for any real number \( c \).
Reason (R): Equal numbers can be added to (or subtracted from) both sides of an inequality without affecting the sign of the inequality.
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Question 4 of 10
Solve the inequality \( \frac{3x-4}{2} \ge \frac{x+1}{4} - 1 \).
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Question 5 of 10
Assertion (A): For pairs of consecutive odd natural numbers both larger than 10 with a sum less than 40, the pair (19, 21) is a valid solution.
Reason (R): If \( x \) is the smaller odd number, \( x > 10 \) and \( x + (x+2) < 40 \Rightarrow 2x < 38 \Rightarrow x < 19 \). Thus, \( x \) can only be up to 17.
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Question 6 of 10
A manufacturer has \(600\) L of a \(12\%\) acid solution and adds \(x\) L of a \(30\%\) solution. The final concentration must be more than \(15\%\) but less than \(18\%\). What is the range of x?
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Question 7 of 10
Assertion:The common solution shown in the third row is \(2\le x<6\).
Reason:The common solution of two inequalities is obtained by taking the union of their individual solution sets.
x < 66x ≥ 22Common26
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Question 8 of 10
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 9 of 10
Which inequality has the solution displayed on the number line?
−5/2
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Question 10 of 10
Select the interval represented by the graph.
−32
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