allerySpot the equation that does NOT belong with the others
Read exercise and reference answers
- Questions
- Items
- x² − 4 = 0
- x² + 4 = 0
- x² + 0x − 4 = 0
- (x-2)(x+2)=0
- Reason
- x² + 4 = 0 has no real roots; the others all have roots ±2.
- Odd item
- x² + 4 = 0
CAT Algebra — practice questions
Explore 30 free Algebra questions in CAT Quantitative Reasoning. Open each question or exercise to read its content, reference answers and available explanation.
Practise Algebra with Quill →Algebra questions and exercises with answers
Showing questions 1–30 of 30.
Spot the equation that does NOT belong with the othersRead the answer and worked solution →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 →
Worked practice questions
An equation of the form ax + by + c = 0, with a and b not both zero, is a linear equation in:
- Two variables
- One variable
- Three variables
- 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._
Substituting x = 1 and y = 1 in 2x + 3y = 5 gives 5, so this pair of values is:
- A constant
- A solution
- Not a solution
- 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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