An interesting GMAT Problem Solving question from Number Properties & Number Theory. It tests your understanding of LCM and HCF and certain key results regarding LCM and HCF of two or more numbers. Question If the LCM of two numbers a and b is 1104 and their HCF is 4, which of the following MUST be true? I. a * b = 4416 II. a and b are both divisible by … [Read more...] about GMAT Number Properties LCM HCF

# GMAT Number Theory

## Simple Number Properties Question

If the integer N = 139,k50 where k is the hundreds digit, N can NEVER be divisible by which of the following?A. 2B. 3C. 4D. 6E. 9 … [Read more...] about Simple Number Properties Question

## Number Properties Problem Solving : Factors

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 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