This EduRev document offers 10 Multiple Choice Questions (MCQs) from the topic Inequalities (Level - 1). These questions are of Level - 1 difficulty and will assist you in the preparation of CAT & other MBA exams. You can practice/attempt these CAT Multiple Choice Questions (MCQs) and check the explanations for a better understanding of the topic.
Question for Practice Questions Level 1: Inequalities - 2
Try yourself:3x2 – 7x – 6 < 0
Explanation
At x = 0, inequality is satisfied. Hence, options (b) and (c) are rejected. x = 3 gives LHS = RHS. and x = – 0.66 also does the same. Hence. roots of the equation are 3 and – 0.66.
Thus, option (a) is correct.
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:x2 – 3x + 5 > 0
Explanation
The given quadratic equation has imaginary roots and is hence always positive.
Thus, option (d) is correct
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:2 – x – x2 ≥ 0
Explanation
At x = 0, inequality is satisfied.
Thus, options, (c) and (d) are rejected.
At x = 1, inequality is satisfied
Hence, we choose option (a).
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:|x2 + x| – 5 < 0
Explanation
At x = 0 inequality is satisfied.
Thus, options (a), (b), are rejected.
Option (c) is obviously not true, as there will be values of x at which the inequality would not be satisfied.
Option (d) is correct.
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:|x2 – 2x| < x
Explanation
At x = 1 and x = 3 LHS = RHS. At x = 2 inequality is satisfied.
At x = 0.1 inequality is not satisfied.
At x = 2.9 inequality is satisfied.
At x = 3.1 inequality is not satisfied.
Thus, option (a) is correct.
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:|x2 – 3x| + x – 2 < 0
Explanation
The options need to be converted to approximate values before you judge the answer. At x = 0, inequality is satisfied.
Thus, option (b) and (d) are rejected. Option (c) is correct.
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:x2 – |5x – 3| – x < 2
Explanation
At x = 0, inequality is satisfied, option (a) rejected. At x = 10, inequality is not satisfied, option (c) rejected.
At x = –5, LHS = RHS.
Also at x = 5, inequality is satisfied and at x = 6, inequality is not satisfied.
Thus, option (d) is correct.
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:3x2 – 7x + 6 < 0
Explanation
At x = 0, inequality is not satisfied.
Hence, options (b), (c) are rejected. At x = 2, inequality is not satisfied.
Hence, option (a) is rejected.
Thus, option (d) is correct.
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:x2 – 14x – 15 > 0
Explanation
At x = 0 inequality is not satisfied. Thus option (d) is rejected.
x = –1 and x = 15 are the roots of the quadratic equation. Thus, option (c) is correct.
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Question for Practice Questions Level 1: Inequalities - 2
Try yourself:|x2 – 4x| < 5
Explanation
At x = 0 inequality is satisfied, option (b) is rejected.
At x = 2, inequality is satisfied, option (c) is rejected.
At x = 5, LHS = RHS.
At x = –1, LHS = RHS.
Thus, option (d) is correct.
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