Inequalities and Data Sufficiency are favorite combinations in the GMAT quant section. Here is a relatively easy question Is 'a' positive? 1. a - b > 0 2. 2a - b > 0 Correct Answer is Choice E. The data is insufficient. Explanatory Answer Let us evaluate statement 1 alone. a - b > 0. From this statement we can conclude that a > b. But we cannot … [Read more...] about GMAT Inequalities – Data Sufficiency

# GMAT Inequalities

## DS Inequalities – Modulus

Here is a data sufficiency question that combines the concepts of modulus, indices and inequalities. Is |a| > a? 1. a2 < a 2. (a/2) > (2/a)The magnitude of 'a' will be greater than a only if 'a' is a negative number. For positive numbers the magnitude of 'a' will be equal to 'a'.So, what we have to determine using the two statements is whether a is negative.Statement … [Read more...] about DS Inequalities – Modulus

## GMAT DS Inequalities – Indices

This question is a DS question from Inequalities. Is a3 > a2? 1. 1/a > a 2. a5 > a3Correct Answer The correct answer is Choice A. Statement 1 alone is sufficient.Let us evaluate each of these statements independentlyStatement 1 : 1/a > aFor positive values of 'a' if 1/a is > a, a has to lie in the interval 0 < a < 1.In … [Read more...] about GMAT DS Inequalities – Indices

## GMAT Inequalities Modulus DS

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

## 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