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CAT Algebra: related Quantitative Aptitude practice — page 7

The practice bank below covers broader Quantitative Aptitude topics; a dedicated Algebra lesson is not available yet.

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Quantitative Aptitude questions and exercises with answers

Showing questions 181–201 of 201.

Adding the same number to both sides of an inequality:Read the answer and worked solution →Multiplying both sides of an inequality by the same positive number:Read the answer and worked solution →Multiplying or dividing both sides by a negative number means the sign of the inequality is:Read the answer and worked solution →Solving 30x less than 200 gives x less than:Read the answer and worked solution →When x must be a natural number, the solutions of 30x less than 200 are:Read the answer and worked solution →How many natural number solutions does 30x less than 200 have?Read the answer and worked solution →When x may be any integer, the solutions of 30x less than 200 include:Read the answer and worked solution →Solving 5x minus 3 less than 3x plus 1 gives:Read the answer and worked solution →Solving 4x plus 3 less than 6x plus 7 gives:Read the answer and worked solution →The set of all values of the variable that make an inequality true is called its:Read the answer and worked solution →Which sign makes a statement an inequality rather than an equation?Read the answer and worked solution →A firm needing at least 6 units and at most 10 would write that as a:Read the answer and worked solution →The study of inequalities is described as useful in solving problems in science and:Read the answer and worked solution →Catch the inequalitiesRead the answer and worked solution →Pop the safe movesRead the answer and worked solution →Run the inequality gatesRead the answer and worked solution →Slice the inequality wordsRead the answer and worked solution →Sign kept or flippedRead the answer and worked solution →Sort the solutionsRead the answer and worked solution →Type the numberRead the answer and worked solution →Inequalities bingoRead the answer and worked solution →

Worked practice questions

Adding the same number to both sides of an inequality:

  1. Keeps the sign
  2. Flips the sign
  3. Drops the sign
  4. Doubles sign
Show answer and solution

Correct answer: A. Keeps the sign

1. This is the first rule for solving them. 2. Subtraction behaves the same way. 3. The sign is unaffected. _Source: syllabus Mathematics, Chapter 6, Linear Inequalities._

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Multiplying both sides of an inequality by the same positive number:

  1. Halves sign
  2. Keeps the sign
  3. Flips the sign
  4. Drops the sign
Show answer and solution

Correct answer: B. Keeps the sign

1. Only a negative multiplier causes trouble. 2. Positive multipliers are safe. 3. The sign stays as it is. _Source: syllabus Mathematics, Chapter 6, Linear Inequalities._

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Multiplying or dividing both sides by a negative number means the sign of the inequality is:

  1. Removed
  2. Repeated
  3. Reversed
  4. Retained
Show answer and solution

Correct answer: C. Reversed

1. This is the key difference from equations. 2. Less than becomes greater than. 3. The sign is reversed. _Source: syllabus Mathematics, Chapter 6, Linear Inequalities._

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How to practise

  1. Choose a Quantitative Aptitude question and try to work out your answer.
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More Quantitative Aptitude topics

Quantitative AptitudeCAT QA — MixedProfit and LossRatio and ProportionTime and WorkPercentagesAverages and MixturesDI — Tables