A relatively easy Data Sufficiency question. Combines concepts in quadratic equation and inequalities involving quadratic expressions.Is x = 3?1. x2 + 6x + 9 = 02. x2 + 7x - 21 > 0The correct answer is Choice A. Statement 1 alone is sufficient; statement 2 is not. Explanatory Answer The question to be answered is "Is x = 3?". An "Is" question is answered if you are able to … [Read more...] about GMAT DS : Quadratic Equation

# GMAT Quadratic Equations

## GMAT Word Problem : Quadratic Equations

This question is a word problem. A problem solving question that tests your ability to frame an equation and solve it to get the answer.Question3 women and a few men participated in a chess tournament. Each player played two matches with each of the other players. If the number of matches that men played among themselves is 78 more than those they played with the women, how … [Read more...] about GMAT Word Problem : Quadratic Equations

## Quadratic Equation PS – Sum of roots

This question is an interesting quadratic equation question that ties in concepts relating to factors in number properties.While solving questions of this kind exercise caution with what the question asks. You may do everything right and still end up with an incorrect answer.Questionx2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for 'b'?A. 3B. … [Read more...] about Quadratic Equation PS – Sum of roots

## Quadratic Equation : Sum of Roots

Here is an interesting quadratic equations question. Combines some concepts of number theory.Questiony = x^2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?A. –32B. –256C. –255D. –257E. 0Correct Answer : Choice D. -257ExplanationThe curve cuts the x axis at (h, 0) and (k, 0). So, h and k are the roots of the quadratic … [Read more...] about Quadratic Equation : Sum of Roots

## 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