Of the 180 students in a school, at least 45% attended the prom night and at least 40% took part in the debating session. What is the maximum number of students who would have neither attended the prom night nor the debating session?A. 99B. 90C. 81D. 27E. 153Correct Answer - Choice E. 99 students attended neither of the events.Explanatory AnswerTotal 180 students.At least 45% … [Read more...] about GMAT Set Theory – Two sets

# GMAT Problem Solving Practice

## 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

## Number Properties – Factors

Here is a relatively easy number properties problem solving question.QuestionWhat is the largest 3 digit number to have an odd number of factors?A. 729B. 943C. 625D. 961E. 841Correct Answer : Choice D. 961Explanatory AnswerA perfect square has an odd number of factors.Of the numbers in the list, the largest 3 digit perfect square is 961 (312).Hence, Choice D is the correct … [Read more...] about Number Properties – Factors

## 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