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Linear Equations CAT Previous Year Questions with Answer PDF
[2023]Question for CAT Previous Year Questions: Linear EquationsTry yourself:For some real numbers a and b, the system of equations x + y = 4 and (a + 5) x + (b2 - 15) y = 8b has infinitely many solutions for x and y. Then, the maximum possible value of ab is
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[2023]*Answer can only contain numeric valuesQuestion for CAT Previous Year Questions: Linear EquationsTry yourself:A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is
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[2022]Question for CAT Previous Year Questions: Linear EquationsTry yourself:If 
for some non-zero real numbers x and y, then c cannot take the value
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[2019]Question for CAT Previous Year Questions: Linear EquationsTry yourself:What is the largest positive integer such that 
is also positive integer?
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has to be an integer
[2019]Question for CAT Previous Year Questions: Linear EquationsTry yourself:Let A be a real number. Then the roots of the equation x2 - 4x - log2A = 0 are real and distinct if and only if
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[2019]Question for CAT Previous Year Questions: Linear EquationsTry yourself:The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of b2 + c?
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FAQs on Linear Equations CAT Previous Year Questions with Answer PDF
| 1. What are linear equations? |  |
Ans. Linear equations are algebraic equations that involve only first-degree terms (terms raised to the power of 1) and have the highest power of the variable as 1.
| 2. How do you solve a system of linear equations? | |
Ans. A system of linear equations can be solved using methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all the equations simultaneously.
| 3. What is the importance of linear equations in real life? | |
Ans. Linear equations are used in various real-life scenarios such as budgeting, business planning, engineering, and physics to model and solve problems involving relationships between different variables.
| 4. Can a linear equation have multiple solutions? | |
Ans. Yes, a linear equation can have infinitely many solutions, especially if the equations are dependent on each other or represent the same line on a graph.
| 5. How do you know if a system of linear equations has no solution? | |
Ans. A system of linear equations has no solution if the equations are inconsistent, meaning they do not intersect at any point and represent parallel lines on a graph.
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