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 Practice

## 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.QuestionIf 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 PS : Percents, Ratio

QuestionOf the new vehicles registered in a week, 300 were neither SUVs nor were they powered by diesel. 3/4th of the SUVs registered were diesel powered and there were half as many SUVs as there were non SUVs. If SUVs not powered by diesel were a sixth of non SUVs not powered by diesel, how many vehicles registered in the week were powered by diesel?A. 200B. 50C. 250D. 150E. … [Read more...] about GMAT PS : Percents, Ratio

## GMAT Problem Solving : Rates – Work Time

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

## Statistics – Range – Problem Solving

10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range of the 10 numbers?A. 30B. 25C. 55D. 27E. 52Correct Answer is Choice E. 52. Explanatory AnswerLet the smallest of the 10 numbers be X1 and the largest be X10. The range for the 10 numbers is maximized when the smallest number is X1 is … [Read more...] about Statistics – Range – Problem Solving