A DS question on equations and roots. QuestionIs y = 7?1. (x - 3) = 02. (x - 3)(y - 7) = 0Correct Answer : Choice E. Data is insufficientExplanatory AnswerThe given question is an "Is" question. The data provided is sufficient to answer the question if we are able to conclusively answer with an Yes or a No to the question. Else the data is … [Read more...] about DS Equations, Roots
GMAT Quadratic Equations
DS – Quadratic, Parabola, and Inequalities
In xy-plane, Y = ax^2 + bx + c, does the graph intersect with X axis?1) a > 02) c < 0 … [Read more...] about DS – Quadratic, Parabola, and Inequalities
GMAT Inequalities, Quadratic Equation
Inequalities is a big favorite of the GMAT test makers. Inequalities, especially presented as a data sufficiency question that appear in the GMAT test are many a times potential land mines.Here is an inequality question in the problem solving formatWhich of the following is correct if x is a real number and (x - 11)(x - 3) is negative?A. x^2 + 5x + 6 < 0B. x^2 + 5x + 6 > 0C. 5 … [Read more...] about GMAT Inequalities, Quadratic Equation
GMAT PS : Quadratic Equation : Parabola cutting x-axis
Here is a question testing concepts of Quadratic equation and nature of roots of quadratic equation. If y = x2 + dx + 9 does not cut the x-axis, then which of the following could be a possible value of d? I. 0 II. -3 III. 9 A. III only B. II only C. I and II only D. II and III only E. I and III only Correct Answer : Choice C. Values that 'd' could take are 0 or … [Read more...] about GMAT PS : Quadratic Equation : Parabola cutting x-axis
Quadratic Equations : Sum & Product of roots
Quadratic equations are equations of the form ax2 + bx + c = 0. A quadratic equation has two roots. These roots are found either by factorizing the quadratic equation or by using the formula $latex \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}&s=3$ Here is a typical quadratic equation question If m and n are the roots of the quadratic equation x2 - (2 √ 5)x - 2 = 0, the value of m2 + … [Read more...] about Quadratic Equations : Sum & Product of roots