QuestionPercy can mow 1/a of a lawn in half an hour. Mona and Percy working together at their respective rates can mow the entire lawn in a couple of hours. How many minutes will Mona take to mow the lawn? 40Correct Answer : Choice A.Explanatory AnswerPercy can mow 1/a of the lawn in 30 minutesSo, Percy can mow the lawn completely in 30a minutes.Therefore, in 1 minute, … [Read more...] about GMAT Problem Solving : Rates – Work Time

# GMAT Algebra Theory & Practice Questions

## 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

## GMAT Inequalities – Data Sufficiency

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

## 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

## 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