Here is an interesting GMAT number property problem solving question. Concept tested : number of factors.Integer x has n factors; 3x has 3 factors; Which of the following values can n take? I. 1 II. 2 III. 3 A. I only B. II only C. I or II D. II or III E. I or III … [Read more...] about Number Properties Problem Solving : Factors

# GMAT Number Theory

## GMAT DS : Number Properties : Even numbers

Is the positive integer x even?1. (x - 1) is a prime number2. (x^2 - 1) is a prime number … [Read more...] about GMAT DS : Number Properties : Even numbers

## Linear Equations : Common Multiples

QuestionA shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $108 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?A. 6B. 7C. 15D. 8E. 12Correct Answer : Choice D. 8Explanatory AnswerLet the shop sell x numbers of the $3variant and y numbers of the $5 variant.So, 3x + … [Read more...] about Linear Equations : Common Multiples

## Number Properties : LCM, HCF

This question is a relatively easy question on LCM and HCF of two numbers. QuestionIf the product of two positive integers is 144, which of the following could be the LCM and HCF of the two numbers?I. LCM : 24; HCF : 6II. LCM : 18; HCF : 8 III. LCM : 16; HCF : 9A. I onlyB. II and III only C. I and II onlyD. I and III only E. I, II and IIICorrect Answer : Choice … [Read more...] about Number Properties : LCM, HCF

## GMAT Data Sufficiency Practice : Inequalities & Number Properties

QuestionIs a + b > 0?1. a - b > 02. |a| < |b|Correct Answer is Choice C. Both statements together are sufficient to answer the question.Explanatory AnswerAn "IS" question is answered when you can provide a definite YES or a definite NO as an answer to the question using the data.We need to answer if a + b > 0.Statement 1: a - b > 0.We can infer that a > b.If … [Read more...] about GMAT Data Sufficiency Practice : Inequalities & Number Properties