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Questions › DSE › DSE 2009 › Q5
1 markMathematics › Quantitative aptitude and data reasoning › Equations and inequalitiesModerateabout 2 min

DSE 2009 Question 5: Quantitative aptitude and data reasoning

Suppose P(x)P(x)P(x) and Q(x)Q(x)Q(x) are real polynomials of degree mmm and kkk respectively, where both mmm and kkk are less than or equal to the positive integer nnn. Suppose the equation P(x)=Q(x)P(x)=Q(x)P(x)=Q(x) has at least (n+1)(n+1)(n+1) distinct solutions. Which of the following best describes what this situation implies?

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Suppose P(x) and Q(x) are real polynomials of degree m and k respectively, where both m and k are less than or equal to the positive integer n. Suppose the equation P(x)=Q(x) has at least (n+1) distinct solutions. Which of the following best describes what this situation implies? (A) m=k=n (B) m=k<n (C) P(x) and Q(x) are identical. (D) P(x) and Q(x) are linear

Quantitative aptitude and data reasoning has come up 92 times in 6 exams since 2008.

What this question tests

This question is on Equations and inequalities, part of Quantitative aptitude and data reasoning in Mathematics.

Solving quadratic and other equations and inequalities.

TestStop has 26 past-paper questions on this subtopic; the nearest in year are below.

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Question from the DSE 2009 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.