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CA Foundation Linear Inequalities — practice questions — page 2

Explore 42 free Linear Inequalities questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Linear Inequalities questions and exercises with answers

Showing questions 31–42 of 42.

Two consecutive odd positive integers, both above 1, sum to more than 10. Which is the smallest such pair?Read the answer and worked solution →A pass needs at least 40 percent of 250 marks. What is the minimum passing score?Read the answer and worked solution →Three times a number, decreased by 4, exceeds 11. Which condition holds for the number x?Read the answer and worked solution →Celsius temperature C satisfies 20 ≤ C ≤ 30 and F = 9C/5 + 32. What is the range of F?Read the answer and worked solution →For real x, which inequality has no solution?Read the answer and worked solution →Which inequality is true for every real number x?Read the answer and worked solution →What is the common solution of the pair x > 2 and x < 5?Read the answer and worked solution →A firm maximizes profit 3x + 2y subject to x + y ≤ 10. Which expression is the objective function?Read the answer and worked solution →Maximize 2x + 3y subject to x ≥ 0, y ≥ 0, x + y ≤ 4. What is the maximum value?Read the answer and worked solution →Written with a less-than-or-equal sign, the inequality x ≥ 3 becomes which?Read the answer and worked solution →Replacing the equals sign in 2x + 3 = 9 by < gives what?Read the answer and worked solution →For positive a < b, the natural logarithms ln a and ln b compare how?Read the answer and worked solution →

Worked practice questions

Two consecutive odd positive integers, both above 1, sum to more than 10. Which is the smallest such pair?

  1. 1 and 3
  2. 3 and 5
  3. 7 and 9
  4. 5 and 7
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Correct answer: D. 5 and 7

x + (x + 2) > 10 gives x > 4, and the smallest odd integer above 4 is 5, giving 5 and 7.

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A pass needs at least 40 percent of 250 marks. What is the minimum passing score?

  1. 125
  2. 110
  3. 90
  4. 100
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Correct answer: D. 100

40 percent of 250 is 100, and 'at least' means a score of 100 or more passes.

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Three times a number, decreased by 4, exceeds 11. Which condition holds for the number x?

  1. x < 5
  2. x > 15
  3. x > 3
  4. x > 5
Show answer and solution

Correct answer: D. x > 5

3x - 4 > 11 gives 3x > 15, so x > 5.

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More Quantitative Aptitude topics

Time Value of MoneyProbabilityPermutations and CombinationsCorrelation and RegressionRatio and Proportion, Indices and LogarithmsSets, Relations and FunctionsMeasures of Central Tendency and DispersionStatistical Representation of Data and Sampling