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CAT Modern Mathematics: related Quantitative Reasoning practice

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

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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._

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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._

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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._

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

AlgebraLogical ReasoningPermutations and CombinationsQuantitative AptitudeAverages and MixturesSimple and Compound InterestBoats and StreamsPartnership