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# CAT Previous Year Questions: Linear and Quadratic Equations - Notes | Study Quantitative Aptitude (Quant) - CAT

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at ₹ 11 each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these 5 months is closest to



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:If r is a constant such that ∣x2 − 4x − 13∣ = r has exactly three distinct real roots, then the value of r is



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:If x0 = 1, x1 = 2 , and n=0,1,2,3,......, then x2021 is equal to



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself: is negative if and only if

Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:If f (5 + x) = f (5 - x) for every real x, and f(x) = 0 has four distinct real roots, then the sum of these roots is



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:How many distinct positive integer-valued solutions exist to the equation ?



*Answer can only contain numeric values
Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:The number of distinct real roots of the equation equals



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself: Let f ( x) = x2 + ax + b and g ( x) = f ( x + 1) - f ( x - 1) . If f ( x) ≥ 0 for all real x, and g (20) = 72 , then the smallest possible value of b is



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:Let k be a constant. The equations kx + y = 3 and 4x + ky = 4 have a unique solution if and only if



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:Let m and n be natural numbers such that n is even and . Then m - 2n equals



*Answer can only contain numeric values
Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is



Question for CAT Previous Year Questions: Linear and Quadratic Equations
Try yourself:In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is



The document CAT Previous Year Questions: Linear and Quadratic Equations - Notes | Study Quantitative Aptitude (Quant) - CAT is a part of the CAT Course Quantitative Aptitude (Quant).
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