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 Algebra Theory & Practice Questions

## 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 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