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
GMAT Quant Theory & Practice Questions
Data Sufficiency | Coordinate Geometry : Quadrants
Data Sufficiency in Coordinate Geometry. Here is an interesting GMAT data sufficiency question on intercepts and points of intersection of two perpendicular lines. A medium difficulty GMAT 650 to 700 level sample question. Data Sufficiency Question Line L is perpendicular to line K whose equation is 3y = 4x + 12; Lines L and K intersect at (p, q).Is p + q > 0? 1. x intercept … [Read more...] about Data Sufficiency | Coordinate Geometry : Quadrants
GMAT DS Inequalities – Indices
This question is a DS question from Inequalities. Is a3 > a2? 1. 1/a > a 2. a5 > a3Correct Answer The correct answer is Choice A. Statement 1 alone is sufficient.Let us evaluate each of these statements independentlyStatement 1 : 1/a > aFor positive values of 'a' if 1/a is > a, a has to lie in the interval 0 < a < 1.In … [Read more...] about GMAT DS Inequalities – Indices
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
Quadratic Equation : Sum of Roots
Here is an interesting quadratic equations question. Combines some concepts of number theory.Questiony = x^2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?A. –32B. –256C. –255D. –257E. 0Correct Answer : Choice D. -257ExplanationThe curve cuts the x axis at (h, 0) and (k, 0). So, h and k are the roots of the quadratic … [Read more...] about Quadratic Equation : Sum of Roots