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
GMAT DS
Inequalities Data Sufficiency
Inequalities and Data Sufficiency are a great combination. Many interesting questions have been framed in the DS format from this topic. Here is an interesting question Is a < b? 1. a^b < b^a 2. a/b > 1 This is a good question because it helps us consider several possibilities for examples. Let us start with Statement I alone: 1. a^b < b^a Now, if a … [Read more...] about Inequalities Data Sufficiency
Number Properties Data Sufficiency
Here is an interesting data sufficiency question.How many of the numbers x, y, and z are positive if each of these numbers is less than 10?1. x + y + z = 202. x + y = 14Correct Answer : Choice A. Statement 1 alone is sufficient; Statement 2 is not sufficient.Explanatory Answer:Statement 1 : x + y + z = 20. From the question stem we know that each number is less than 10.So, x … [Read more...] about Number Properties Data Sufficiency
DS Equations, Roots
A DS question on equations and roots. QuestionIs y = 7?1. (x - 3) = 02. (x - 3)(y - 7) = 0Correct Answer : Choice E. Data is insufficientExplanatory AnswerThe given question is an "Is" question. The data provided is sufficient to answer the question if we are able to conclusively answer with an Yes or a No to the question. Else the data is … [Read more...] about DS Equations, Roots
Number Properties DS – Remainders, divisors
Quite a lot of interesting DS questions appear from Number Properties and Number Theory. Here is one such question.When a positive integer 'x' is divided by a divisor 'd', the remainder is 24. What is d?1. When 2x is divided by d, the remainder is 23.2. When 3x is divided by d, the remainder is 22.Correct AnswerChoice A. Statement 1 alone is sufficient; statement 2 is not … [Read more...] about Number Properties DS – Remainders, divisors