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Algebra : Linear Quadratic Equations - Practice Questions

A collection of questions that typically appear on Linear (1st order equations - equation of straight lines) and Quadratic (parabolic functions) and cubic equations.

1. Question 1: If one of the roots of the quadratic equation x² + mx + 24 = 0 is 1.5, then what is the value of m? 
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2. Question 2:  Find the remainder when the polynomial x⁴ - 3x² + 7x - 10 is divided by x - 2.
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3. Question 3:  If one of the roots of the quadratic equation 2x² - 7x + q = 0 is 3, then find the other root.
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4. Question 4:  A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?
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5. Question 5:  If p and q are the roots of the equation x² - bx + c = 0, then what is the equation if the roots are (pq + p + q) and (pq - p - q)?
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6. Question 6:  If (x + 2) ² = 9 and (y + 3) ² = 25, then the maximum value of x / y is.
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7. Question 7:  For what values of 'm' is y = 0, if y = x² + (2m + 1)x + m² - 1? X is a real number.
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CAT Practice Questions and Answers : Listed Topicwise

Number Theory		Permutation Combination		Probability		Inequalities
Geometry		Mensuration		Trigonometry		Data sufficiency
Percentages		Profit Loss		Ratio Proportion		Mixtures Alligation
Speed Time Distance		Pipes Cisterns		Interest		Races
Average, Mean		AP, GP, HP		Set Theory		Clocks Calendars
Algebra		Function		English Grammar		General Awareness