{"id":21971,"date":"2013-12-10T07:00:54","date_gmt":"2013-12-10T14:00:54","guid":{"rendered":"https:\/\/gmatclub.com\/blog\/2013\/12\/discover-data-sufficiency-we-answer-the-free-gmat-question-of-the-week\/"},"modified":"2013-12-10T07:00:54","modified_gmt":"2013-12-10T14:00:54","slug":"discover-data-sufficiency-we-answer-the-free-gmat-question-of-the-week","status":"publish","type":"post","link":"https:\/\/gmatclub.com\/blog\/discover-data-sufficiency-we-answer-the-free-gmat-question-of-the-week\/","title":{"rendered":"Discover Data Sufficiency: We Answer the Free GMAT Question of the Week"},"content":{"rendered":"
\n\t\t\"Discover<\/a>\n\t\t<\/div>\n

\n\t\t\"GMAT<\/p>\n

Yesterday's Data Sufficiency\u00a0<\/a>Question Asked<\/a>:<\/strong><\/p>\n

If b<\/em>\u00a0\u2260 0 and a<\/em> > b<\/em>, is a<\/em> > c<\/em>?<\/p>\n

(1) a\/b> c\/b<\/p>\n

(2) 5ab<\/em> > 6bc<\/em><\/p>\n

 <\/p>\n

 <\/p>\n

Here's the full answer and explanation. Read carefully, this is where you will learn concepts and strategies.<\/strong><\/p>\n

This is a Yes\/No Data Sufficiency question<\/a>. The question stem tells you that b =\u0338 0 and a > b. You want to find out whether there is sufficient information to determine whether a > c. There is no information in the question stem that you can use to determine whether or not a > c, so take a look at the statements.<\/p>\n

Both of the statements are inequalities, so it's important to remember that when you multiply both sides of an inequality by a positive number, the direction of the inequality sign stays the same, but when you multiply both sides of an inequality by a negative number, the direction of the inequality sign is reversed. Keeping this in mind, take a look at the statements.<\/p>\n

Begin with Statement (1), a\/b > c\/b . If b is positive, then multiplying both sides by b gives you a > c. But if b is negative, then multiplying both sides by b gives you a < c, since the sign of the inequality must be reversed. Therefore, Statement (1) does not tell you whether or not a is greater than c. Statement (1) is insufficient. Eliminate (A) and (D).<\/strong><\/p>\n

You can use the same logic when approaching Statement (2), 5ab > 6bc. If b is positive, then dividing both sides by b gives you 5a > 6c. If only 5 pieces of a is more than 6 pieces of c, a itself must be greater than c. However, if b is negative then dividing by b gives you 5a < 6c. In this instance a could be less than c, but it could also be greater than c. Thus, Statement (2) is insufficient. Eliminate (B).<\/strong><\/p>\n

When you put the two statements together, it is still necessary to know whether b is positive or negative in order to answer the question. Since you do not have this information, the statements taken together are insufficient and the correct answer is (E).<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Yesterday’s Data Sufficiency\u00a0Question Asked: If b\u00a0\u2260 0 and a > b, is a > c? (1) a\/b> c\/b (2) 5ab > 6bc     Here’s the full answer and explanation.…<\/p>\n","protected":false},"author":120,"featured_media":0,"comment_status":"closed","ping_status":"1","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,558,243,940],"tags":[],"class_list":["post-21971","post","type-post","status-publish","format-standard","hentry","category-gmat","category-kaplan-blog","category-blog","category-gmat-prep-gmat","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/posts\/21971","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/users\/120"}],"replies":[{"embeddable":true,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/comments?post=21971"}],"version-history":[{"count":0,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/posts\/21971\/revisions"}],"wp:attachment":[{"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/media?parent=21971"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/categories?post=21971"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/tags?post=21971"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}