Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

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
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Question 1 of 10
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.
Select one option. Answers are shown after the test.
Question 2 of 10
A mobile-data plan charges a fixed ₹\(199\) plus ₹\(15\) per extra GB. A student can spend at most ₹\(349\). What is the maximum number of extra GB the student can use?
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Question 3 of 10
Identify the inequality corresponding to the following solution graph: 5
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Question 4 of 10
Solve the double inequality \( -8 \le 5x - 3 < 7 \).
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Question 5 of 10
Water is added to \(1125\) L of a \(45\%\) acid solution. If \(x\) is the water added, the final acid content must be more than \(25\%\) but less than \(30\%\). What is the range of x?
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Question 6 of 10
A school trip has a fixed transport charge of ₹\(150\), and each activity costs ₹\(80\). With a budget of at most ₹\(550\), what is the greatest number of activities a student can choose?
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Question 7 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 8 of 10
Solve \( 7x + 3 < 5x + 9 \) for real \( x \).
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Question 9 of 10
Rice is sold only in \(1\) kg packets costing ₹\(30\) each. Ravi has ₹\(200\). What is the greatest number of packets he can buy?
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Question 10 of 10
Solve \( 5x - 3 < 3x + 1 \) when \( x \) is a real number.
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