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Linear Equations CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions: Linear Equations
Try 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

[2023]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Linear Equations
Try 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

[2023]

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Question for CAT Previous Year Questions: Linear Equations
Try yourself:If Linear Equations CAT Previous Year Questions with Answer PDFfor some non-zero real numbers x and y, then c cannot take the value

[2022]

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Question for CAT Previous Year Questions: Linear Equations
Try yourself:What is the largest positive integer such that Linear Equations CAT Previous Year Questions with Answer PDF is also positive integer?

[2019]

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Question for CAT Previous Year Questions: Linear Equations
Try 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

[2019]

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Question for CAT Previous Year Questions: Linear Equations
Try 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?

[2019]

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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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