Start learning →

GMAT Modern Mathematics: related Quantitative Reasoning practice

The practice bank below covers broader Quantitative Reasoning topics; a dedicated Modern Mathematics lesson is not available yet.

Practise Quantitative Reasoning with Quill →

Quantitative Reasoning questions and exercises with answers

Showing questions 1–30 of 59.

An equation of the form ax + by + c = 0, with a and b not both zero, is a linear equation in:Read the answer and worked solution →Substituting x = 1 and y = 1 in 2x + 3y = 5 gives 5, so this pair of values is:Read the answer and worked solution →Each solution of a linear equation in two variables corresponds to:Read the answer and worked solution →Two lines drawn in a plane can intersect, be coincident, or be:Read the answer and worked solution →If the two lines of a pair of linear equations intersect at one point, the pair has:Read the answer and worked solution →A pair of linear equations that has no solution is called:Read the answer and worked solution →A pair of linear equations whose lines coincide has:Read the answer and worked solution →A pair of equations which are equivalent, with infinitely many common solutions, is called:Read the answer and worked solution →Akhila's rides and games gave x - 2y = 0 and 3x + 4y = 20. The lines meet at:Read the answer and worked solution →Romila paid 9 for 2 pencils and 3 erasers; Sonali paid 18 for 4 pencils and 6 erasers. Their lines are:Read the answer and worked solution →Two rails are x + 2y - 4 = 0 and 2x + 4y - 12 = 0. Do they cross?Read the answer and worked solution →For x + 3y = 6 and 2x - 3y = 12, the common point is:Read the answer and worked solution →If a1/a2 is not equal to b1/b2, the two lines are:Read the answer and worked solution →If a1/a2 = b1/b2 = c1/c2, the two lines are:Read the answer and worked solution →If a1/a2 = b1/b2 but this differs from c1/c2, the two lines are:Read the answer and worked solution →A pair of linear equations that has a solution is called:Read the answer and worked solution →A coach buys 3 bats and 6 balls for 3,900 and later 1 bat and 3 balls for 1,300. This is a situation of:Read the answer and worked solution →2 kg apples with 1 kg grapes cost 160, and 4 kg apples with 2 kg grapes cost 300. The unknowns here are:Read the answer and worked solution →Putting x = 0 in the equation 3x + 4y = 20 gives y equal to:Read the answer and worked solution →Choosing y = 2 in 3x + 4y = 20 was preferred because it gives x as:Read the answer and worked solution →The graphical representation of a linear equation in two variables is:Read the answer and worked solution →Catch the consistent pairsRead the answer and worked solution →Pop the algebra wordsRead the answer and worked solution →Run the line casesRead the answer and worked solution →Slice the equation wordsRead the answer and worked solution →Consistent or inconsistentRead the answer and worked solution →Sort the three line casesRead the answer and worked solution →Type the numberRead the answer and worked solution →Linear equations bingoRead the answer and worked solution →Mohan owns 3 pants and 2 shirts. The number of pant and shirt pairs he can wear is:Read the answer and worked solution →

Worked practice questions

An equation of the form ax + by + c = 0, with a and b not both zero, is a linear equation in:

  1. Two variables
  2. One variable
  3. Three variables
  4. Four variables
Show answer and solution

Correct answer: A. Two variables

1. Here a, b and c are real numbers. 2. Both x and y appear. 3. So it is a linear equation in two variables. _Source: syllabus Mathematics, Chapter 3, Pair of Linear Equations in Two Variables._

Open this question →

Substituting x = 1 and y = 1 in 2x + 3y = 5 gives 5, so this pair of values is:

  1. A constant
  2. A solution
  3. Not a solution
  4. An equation
Show answer and solution

Correct answer: B. A solution

1. The left side equals the right side. 2. So the pair satisfies the equation. 3. x = 1, y = 7 does not. _Source: syllabus Mathematics, Chapter 3, Pair of Linear Equations in Two Variables._

Open this question →

Each solution of a linear equation in two variables corresponds to:

  1. A point on the line
  2. A whole new line
  3. A pair of new lines
  4. A curved arc piece
Show answer and solution

Correct answer: A. A point on the line

1. The graph of the equation is a straight line. 2. Every solution lies on that line. 3. The converse also holds. _Source: syllabus Mathematics, Chapter 3, Pair of Linear Equations in Two Variables._

Open this question →

How to practise

  1. Choose a Quantitative Reasoning question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Quantitative Reasoning practice for GMAT. Read explanations as you go. No signup form needed to start.

Practise Quantitative Reasoning →

More Quantitative Reasoning topics

Quantitative ReasoningAlgebraPermutations and CombinationsLogical ReasoningQuantitative AptitudeAverages and MixturesSimple and Compound InterestBoats and Streams