This is an interesting Data Sufficiency question that tests your understanding of divisibility, indices and prime factors.QuestionIf n is an integer, is n3 divisible by 54? 1. n2 is divisible by 6. 2. n3 is divisible by 36.Correct Answer : Choice D. Each statement is independently sufficient to answer the question.Explanatory AnswerFor "is" questions in DS, we … [Read more...] about DS Number Properties – Divisibility – Prime Divisors
GMAT Arithmetic Theory & Practice Questions
GMAT Data Sufficiency – Statistics: Mean Median
This data sufficiency question tests your understanding of Inequalities and descriptive statistics.QuestionIs 'b' the median of 3 numbers a, b, and c?1. b/a = c/b2. ab < 0The correct answer is C. Both the statements together are sufficient to answer the question.Explanatory answerWhen the numbers a, b, and c are arranged in an ascending order, the middle number is the … [Read more...] about GMAT Data Sufficiency – Statistics: Mean Median
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
Progressions – AP – Data Sufficiency
A data sufficiency question from Arithmetic Progression.QuestionWhat is the 6th term of the Arithmetic sequence?1. The sum of the 6th to the 12th term of the sequence is 77.2. The sum of the 2nd to the 10th term of the sequence is 108.Correct Answer : Choice B. Statement 2 alone is sufficient; statement 1 is not sufficient.Explanatory Answer We have to find the 6th term of an … [Read more...] about Progressions – AP – Data Sufficiency
Number Properties Data Sufficiency
Here is an interesting data sufficiency question.How many of the numbers x, y, and z are positive if each of these numbers is less than 10?1. x + y + z = 202. x + y = 14Correct Answer : Choice A. Statement 1 alone is sufficient; Statement 2 is not sufficient.Explanatory Answer:Statement 1 : x + y + z = 20. From the question stem we know that each number is less than 10.So, x … [Read more...] about Number Properties Data Sufficiency