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 … [Read more...]

## DS Coordinate Geometry : Quadrants

Data Sufficiency in Coordinate Geometry.Here is an interesting question on intercepts and points of intersection of two perpendicular lines.QuestionLine 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 of Line L is less … [Read more...]

## 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 … [Read more...]

## 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; … [Read more...]

## 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 … [Read more...]

## GMAT Inequalities Modulus DS

HiHere is a GMAT DS question from the topic Inequalities. Tests concepts of modulus.QuestionIs |a| > |b|?1. 1/(a - b) > 1/(b - a)2. a + b < 0Correct Answer : Choice C. Both statements together are sufficient.Explanatory AnswerWe need to determine whether |a| is greater than |b|. The answer … [Read more...]

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