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

# GMAT Data Sufficiency

## 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

## 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

## 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

## 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 to this question will be a conclusive 'yes' if |a| > |b|.The answer will be a … [Read more...] about GMAT Inequalities Modulus DS