Here is an interesting inequalities question.What is the smallest integer that satisfies the inequality ?(x - 3)/ (x^2 - 8x - 20) > 0A. -2B. 10C. 3D. -1E. 0Correct Answer : -1. Choice D Explanatory AnswerLet us factorize the denominator and rewrite the expression as (x - 3) / {(x - 10)(x + 2)}The values of x that are of interest to us are x = 3, x = 10 and x = -2.Let us … [Read more...] about GMAT Inequalities – Least integer
GMAT Algebra Theory & Practice Questions
DS Equations, Roots
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 Data Sufficiency : Absolute Value
Is xy < 0?(1) 5|x| + |y| = 0(2) |x| + 5|y| = 0 … [Read more...] about GMAT Data Sufficiency : Absolute Value
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
Equations – roots and powers
How many roots does x6 –12x4 + 32x2 = 0 have?(A) 1(B) 3(C) 4(D) 5(E) 2Solution:x^6 –12(x^4) + 32(x^2) = x^2 (x^4 – 12x^2 + 32) = x^2 (x^2 – 4)(x^2 – 8)The roots are 0, ±2, and ±2√2: a total of 5.Please remember that ‘0’ is also a root.The correct answer is D … [Read more...] about Equations – roots and powers