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CAT Algebra: related Quantitative Aptitude practice — page 6

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 151–180 of 201.

If that expression is greater than zero, the equation has:Read the answer and worked solution →If that expression equals zero, the equation has:Read the answer and worked solution →If that expression is less than zero, the equation has:Read the answer and worked solution →For the equation 2x squared minus 5x plus 3 equals 0, the discriminant is:Read the answer and worked solution →Because that discriminant is positive, the equation 2x squared minus 5x plus 3 equals 0 has:Read the answer and worked solution →The roots of 2x squared minus 5x plus 3 equals 0 are:Read the answer and worked solution →For the equation 6x squared minus x minus 2 equals 0, the discriminant is:Read the answer and worked solution →The roots of 6x squared minus x minus 2 equals 0 are:Read the answer and worked solution →For the equation x squared plus 4x minus 5 equals 0, the discriminant is:Read the answer and worked solution →The roots of x squared plus 4x minus 5 equals 0 are:Read the answer and worked solution →A method that rewrites the equation so one side becomes a perfect square is called:Read the answer and worked solution →The values of x that satisfy a quadratic equation are called its:Read the answer and worked solution →The roots of a quadratic equation are the same as the zeroes of the corresponding:Read the answer and worked solution →A number of toys problem leads to 2x squared plus x minus 300 equals 0. Its discriminant is:Read the answer and worked solution →Because 2401 is the square of 49, that equation has roots that are:Read the answer and worked solution →Before applying any solving method, an equation must first be written in its:Read the answer and worked solution →Catch the quadraticsRead the answer and worked solution →Pop the root outcomesRead the answer and worked solution →Run the quadratic gatesRead the answer and worked solution →Slice the quadratic wordsRead the answer and worked solution →Real roots or noneRead the answer and worked solution →Sort the equationsRead the answer and worked solution →Type the numberRead the answer and worked solution →Quadratics bingoRead the answer and worked solution →Two expressions joined by a less-than or greater-than sign form an:Read the answer and worked solution →Statements such as 3 less than 5 and 7 greater than 5 are examples of:Read the answer and worked solution →Statements such as x less than 5 and y greater than 2 are examples of:Read the answer and worked solution →A statement like 3 less than x less than 5 is called a:Read the answer and worked solution →Inequalities using only the strict signs, without an equals part, are called:Read the answer and worked solution →Inequalities that also allow equality are called:Read the answer and worked solution →

Worked practice questions

If that expression is greater than zero, the equation has:

  1. Two equal roots
  2. Two odd roots
  3. Two lost roots
  4. Two distinct roots
Show answer and solution

Correct answer: D. Two distinct roots

1. The square root is a positive number. 2. Adding and subtracting it gives two answers. 3. There are two distinct real roots. _Source: syllabus Mathematics, Chapter 4, Quadratic Equations._

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If that expression equals zero, the equation has:

  1. Two equal roots
  2. Two distinct roots
  3. Two odd roots
  4. Four odd roots
Show answer and solution

Correct answer: A. Two equal roots

1. The square root term vanishes. 2. Both answers collapse to one value. 3. There are two equal real roots. _Source: syllabus Mathematics, Chapter 4, Quadratic Equations._

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If that expression is less than zero, the equation has:

  1. One real root
  2. No real roots
  3. Two real roots
  4. Ten real roots
Show answer and solution

Correct answer: B. No real roots

1. A negative number has no real square root. 2. The formula then gives nothing real. 3. There are no real roots. _Source: syllabus Mathematics, Chapter 4, Quadratic Equations._

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More Quantitative Aptitude topics

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