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.
- 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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- Question 2: Find the remainder when the polynomial x4 - 3x2 + 7x - 10 is divided by x - 2.
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- 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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- 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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- 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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- Question 6: If (x + 2) 2 = 9 and (y + 3) 2 = 25, then the maximum value of x / y is.
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- 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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- Question 8: For what value of m will the roots of the quadratic equation x2 + mx + 4 = 0 have real and equal roots?
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- Question 9: Rajesh is 10 years younger to Baskar. 10 years back, Rajesh's age was two-thirds that of Baskar's. How old is Baskar now?
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- Question 10: An owner of a pizza stand sold small slices of pizza for Rs. 150 each and large slices for Rs. 250 each. One night he sold 5000 slices, for a total of Rs. 10.50 lakh. How many small slices were sold?
TANCET 2008 : Answer and Explanations »
- Question 11: Jack has three more cards than Bill. Together they have 47 cards. If x represents the number of cards Bill has, then an equation that can be used to determine the number of cards each one has is
TANCET 2008 : Answer and Explanations »
- Question 12: There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?
TANCET 2008 : Answer and Explanations »
- Question 13: It costs Rs. x each to make the first thousand copies of a compact disk and Rs. y to make each subsequent copy. If z is greater than 1,000, how many Rupees will it cost to make z copies of the compact disk?
TANCET 2008 : Answer and Explanations »
- Question 14: A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of Rs. 200 each. For each rise of Rs. 4 in the selling price she will sell 2 less suits a week. If she sells the suits for Rs. x each, how many rupees a week will she receive from the sales of the suits?
TANCET 2008 : Answer and Explanations »
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