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Test: Inequalities- 1


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10 Questions MCQ Test Quantitative Aptitude (Quant) | Test: Inequalities- 1

Test: Inequalities- 1 for Banking Exams 2022 is part of Quantitative Aptitude (Quant) preparation. The Test: Inequalities- 1 questions and answers have been prepared according to the Banking Exams exam syllabus.The Test: Inequalities- 1 MCQs are made for Banking Exams 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Inequalities- 1 below.
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Test: Inequalities- 1 - Question 1

For which values of x does this equation stands true: 3x2 – 7x – 6 < 0

Detailed Solution for Test: Inequalities- 1 - Question 1
  • 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 (d) is correct
Test: Inequalities- 1 - Question 2

For which values of x does this equation stands true x2 – 14x – 15 > 0 ?

Detailed Solution for Test: Inequalities- 1 - Question 2

At x = 0 inequality is not satisfied.
Thus x = –1 and x = 15 are the roots of the quadratic equation.

Thus, option (d) is correct. 

Test: Inequalities- 1 - Question 3

For which values of x does this equation stands true |x2 - 4x| < 5 ?

Detailed Solution for Test: Inequalities- 1 - Question 3

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 (a) is correct. 

Test: Inequalities- 1 - Question 4

For which values of x does this equation stands true |x – 6| > x2 – 5x + 9 ?

Detailed Solution for Test: Inequalities- 1 - Question 4
  • At x = 2, inequality is satisfied.
  • At x = 0, inequality is not satisfied.
  • At x = 1, inequality is not satisfied but LHS = RHS.
  • At x = 3, inequality is not satisfied but LHS = RHS.

Thus, option (b) is correct.

Test: Inequalities- 1 - Question 5

For which values of x does this equation stands true |x2 – 2x| < x ?

Detailed Solution for Test: Inequalities- 1 - Question 5
  • 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. 

Test: Inequalities- 1 - Question 6

For which values of x does this equation stands true x2 –7x + 12 < |x – 4| ?

Detailed Solution for Test: Inequalities- 1 - Question 6
  • At x = 0, inequality is not satisfied, option (a) is rejected.
  • At x = 5, inequality is not satisfied, option (b) is rejected.
  • At x = 2 inequality is not satisfied.
    Option (d) is rejected.

Thus, Option (e) is correct. 

Test: Inequalities- 1 - Question 7

For which values of x does this equation stands true |x2 – 2x| < x ?

Detailed Solution for Test: Inequalities- 1 - Question 7
  • 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. .
  • At x = 3, inequality is not satisfied but LHS = RHS.

Thus, option (d) is correct.

Test: Inequalities- 1 - Question 8

For which values of x does this equation stands true 2 – x – x2 ≥ 0 ?

Detailed Solution for Test: Inequalities- 1 - Question 8

At x = 0, inequality is satisfied.
Thus, options, (c) and (d) are rejected.

At x = 1, inequality is satisfied
Hence, we choose option (b). 

Test: Inequalities- 1 - Question 9

For which values of x does this equation stands true x2 – |5x – 3| – x < 2 ?

Detailed Solution for Test: Inequalities- 1 - Question 9

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 (c) is correct. 

Test: Inequalities- 1 - Question 10

For which values of x does this equation stands true |x2  – 3x| + x – 2 < 0 ?

Detailed Solution for Test: Inequalities- 1 - Question 10

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 (a) is correct.

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