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 Quant 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
GMAT Inequalities – Data Sufficiency
Inequalities and Data Sufficiency are favorite combinations in the GMAT quant section. Here is a relatively easy question Is 'a' positive? 1. a - b > 0 2. 2a - b > 0 Correct Answer is Choice E. The data is insufficient. Explanatory Answer Let us evaluate statement 1 alone. a - b > 0. From this statement we can conclude that a > b. But we cannot … [Read more...] about GMAT Inequalities – Data Sufficiency
Coordinate Geometry DS – Lines and Circles
A data sufficiency question in coordinate geometryDoes the line x + y = 6 intersect or touch circle C with radius 5 units?1. Center of the circle lies in the third quadrant.2. Point (-4, -4) does not lie inside the circle.Correct Answer is Choice E. The data is INSUFFICIENT.Explanatory AnswerThe line will intersect or touch the circle if the distance between the center of the … [Read more...] about Coordinate Geometry DS – Lines and Circles
DS Inequalities – Modulus
Here is a data sufficiency question that combines the concepts of modulus, indices and inequalities. Is |a| > a? 1. a2 < a 2. (a/2) > (2/a)The magnitude of 'a' will be greater than a only if 'a' is a negative number. For positive numbers the magnitude of 'a' will be equal to 'a'.So, what we have to determine using the two statements is whether a is negative.Statement … [Read more...] about DS Inequalities – Modulus