HiHere is a GMAT DS question from the topic Inequalities. Tests concepts of modulus.QuestionIs |a| > |b|?1. 1/(a - b) > 1/(b - a)2. a + b < 0Correct Answer : Choice C. Both statements together are sufficient.Explanatory AnswerWe need to determine whether |a| is greater than |b|. The answer to this question will be a conclusive 'yes' if |a| > |b|.The answer will be a … [Read more...] about GMAT Inequalities Modulus DS

# GMAT Inequalities

## Inequalities Data Sufficiency

Inequalities and Data Sufficiency are a great combination. Many interesting questions have been framed in the DS format from this topic. Here is an interesting question Is a < b? 1. a^b < b^a 2. a/b > 1 This is a good question because it helps us consider several possibilities for examples. Let us start with Statement I alone: 1. a^b < b^a Now, if a … [Read more...] about Inequalities Data Sufficiency

## GMAT Inequalities – Least integer

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

## 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