An interesting GMAT problem solving practice question that combines two topics - counting methods and elementary number properties related to divisibility of numbers by 4. Question How many five digit positive integers comprising only the digits 1, 2, 3, and 4, each appearing at least once, exist such that the number is divisible by 4? 120 24 72 60 … [Read more...] about Permutation and Divisiblity

# GMAT Problem Solving

## GMAT PS : Inequalities & Number Properties

An interesting number properties question that tests your understanding of odd numbers, even numbers and inequalities. Question If x is a positive integer such that (x-1)(x-3)(x-5)....(x-93) < 0, how many values can x take? A. 47 B. 23 C. 46 D. 21 E. 22 Correct Answer Choice B. x can take 23 values. Explanation Video … [Read more...] about GMAT PS : Inequalities & Number Properties

## GMAT Number Properties LCM HCF

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

## 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

## GMAT Mixtures – Problem Solving Question

60% of the students in a class are instate students. 60% of the students in the class are women. If there are twice as many instate men in the class as are instate women, and the number of instate men exceeds instate women by 12, how many more women in the class are not instate women?A. 12B. 60C. 48D. 24E. 0 … [Read more...] about GMAT Mixtures – Problem Solving Question