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
Quadratic Equation PS – Sum of roots
This question is an interesting quadratic equation question that ties in concepts relating to factors in number properties.While solving questions of this kind exercise caution with what the question asks. You may do everything right and still end up with an incorrect answer.Questionx2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for 'b'?A. 3B. … [Read more...] about Quadratic Equation PS – Sum of roots
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
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