{"id":10531,"date":"2012-03-02T02:00:14","date_gmt":"2012-03-02T09:00:14","guid":{"rendered":"https:\/\/gmatclub.com\/blog\/?p=10531"},"modified":"2012-03-02T05:52:12","modified_gmt":"2012-03-02T12:52:12","slug":"gmat-question-of-the-day-mar-2-algebra-and-critical-reasoning-2","status":"publish","type":"post","link":"https:\/\/gmatclub.com\/blog\/gmat-question-of-the-day-mar-2-algebra-and-critical-reasoning-2\/","title":{"rendered":"GMAT Question of the Day (Mar 2): Algebra and Critical Reasoning"},"content":{"rendered":"<p><strong>Math (PS)<\/strong><\/p>\n<p>Function <img src='https:\/\/s0.wp.com\/latex.php?latex=F%28x%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='F(x)' title='F(x)' class='latex' \/> is defined as follows:<br \/>\nif <img src='https:\/\/s0.wp.com\/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' \/> is positive or 0 then <img src='https:\/\/s0.wp.com\/latex.php?latex=F%28x%29+%3D+1+-+x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='F(x) = 1 - x' title='F(x) = 1 - x' class='latex' \/>;<br \/>\nif <img src='https:\/\/s0.wp.com\/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' \/> is negative then <img src='https:\/\/s0.wp.com\/latex.php?latex=F%28x%29+%3D+x+-+1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='F(x) = x - 1' title='F(x) = x - 1' class='latex' \/>.<\/p>\n<p>Which of the following is true about <img src='https:\/\/s0.wp.com\/latex.php?latex=F%28x%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='F(x)' title='F(x)' class='latex' \/>?<\/p>\n<p>I. <img src='https:\/\/s0.wp.com\/latex.php?latex=F%28%7Cx%7C%29+%3D+%7CF%28x%29%7C&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='F(|x|) = |F(x)|' title='F(|x|) = |F(x)|' class='latex' \/><\/p>\n<p>II. <img src='https:\/\/s0.wp.com\/latex.php?latex=F%28x%29+%3D+F%28-x%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='F(x) = F(-x)' title='F(x) = F(-x)' class='latex' \/><\/p>\n<p>III. <img src='https:\/\/s0.wp.com\/latex.php?latex=%7CF%28x+%2B+1%29%7C+%3D+%7Cx%7C&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='|F(x + 1)| = |x|' title='|F(x + 1)| = |x|' class='latex' \/><\/p>\n<p>(A) I only<br \/>\n(B) II only<br \/>\n(C) III only<br \/>\n(D) I and III only<br \/>\n(E) not I, II, or III<\/p>\n<div>\n<a href=\"https:\/\/gmatclub.com\/forum\/m11-q24-75558.html\">Question Discussion &amp; Explanation<\/a><br \/>\n<strong>Correct Answer<\/strong> <span style=\"background-color:#fff;color:#fff\">- C -<\/span> (click and drag your mouse to see the answer)\n<\/div>\n<p><\/p>\n<div style=\"background-color: rgb(141, 179, 226); border-top: 4px solid rgb(0, 0, 0); border-bottom: 4px solid rgb(0, 0, 0); padding: 5px; margin-left: 20px; font-size: 15px; font-family: Gergia,serif; font-weight: bold\">\n<div style=\"font-size: 19px; color: rgb(255, 255, 255); margin-bottom: 10px; padding-left: 10px\">GMAT Daily Deals<\/div>\n<ul>\n<li style=\"padding: 0pt 0pt 10px 20px; color: rgb(255, 255, 255); list-style-type: disc\">e-GMAT's methods and strategies help non-natives improve 5+ points on GMAT Verbal. <a href=\"https:\/\/gmatclub.com\/blog\/courses\/e-gmat-discount-coupon-code\/?fl=blog\" style=\"color: rgb(0, 0, 255);\"><u>Save $436 via GMAT Club!<\/u><\/a><\/li>\n<li style=\"padding: 0pt 0pt 10px 20px; color: rgb(255, 255, 255); list-style-type: disc\">Magoosh: GMAT Prep that's as smart as you are. <a href=\"https:\/\/gmatclub.com\/blog\/courses\/magoosh-gmat-discount\/?fl=blog\" style=\"color: rgb(0, 0, 255);\"><u>Up to 50% off via GMAT Club<\/u><\/a>.<\/li>\n<li style=\"padding: 0pt 0pt 0px 20px; color: rgb(255, 255, 255); list-style-type: disc\">Precision Essay: \"Rigorous application consulting service for dedicated candidates (with us, you will work HARD).\" <a href=\"https:\/\/www.precisionessay.com\/\" style=\"color: rgb(0, 0, 255);\"><u>Save $100<\/u><\/a>.<\/li>\n<\/ul>\n<\/div>\n<p><\/p>\n<p><strong>Verbal (CR)<\/strong><\/p>\n<p>While Governor Verdant has been in office, the state\u2019s budget has increased by an average of 6 percent each year. While the previous governor was in office, the state\u2019s budget increased by an average of 11.5 percent each year. Obviously, the austere budgets during Governor Verdant\u2019s term have caused the slowdown in the growth in state spending.<\/p>\n<p>Which of the following, if true, would most seriously weaken the conclusion drawn above?<\/p>\n<p>(A) The rate of inflation in the state averaged 10 percent each year during the previous governor\u2019s term in office and 3 percent each year during Verdant\u2019s term.<br \/>\n(B) Both federal and state income tax rates have been lowered considerably during Verdant\u2019s term in office.<br \/>\n(C) In each year of Verdant\u2019s term in office, the state\u2019s budget has shown some increase in spending over the previous year.<br \/>\n(D) During Verdant\u2019s term in office, the state has either discontinued or begun to charge private citizens for numerous services that the state offered free to citizens during the previous governor\u2019s term.<br \/>\n(E) During the previous governor\u2019s term in office, the state introduced several so-called \u201causterity\u201d budgets intended to reduce the growth in state spending.<\/p>\n<div>\n<a href=\"https:\/\/gmatclub.com\/forum\/while-governor-verdant-has-been-in-office-the-state-s-77230.html\">Question Discussion &amp; Explanation<\/a><br \/>\n<strong>Correct Answer<\/strong> <span style=\"background-color:#fff;color:#fff\">- A -<\/span> (click and drag your mouse to see the answer)\n<\/div>\n<p><\/p>\n<p><strong>Like these questions?<\/strong> Get the GMAT Club question collection: <a href=\"https:\/\/gmatclub.com\/tests\/\">online at GMAT Club<\/a> OR <a href=\"https:\/\/www.amazon.com\/gp\/redirect.html?ie=UTF8&location=http%3A%2F%2Fwww.amazon.com%2Fgp%2Fentity%2FGMAT-Club%2FB0048PPF3U%3Fie%3DUTF8%26ref_%3Dntt_athr_dp_pel_1&tag=gmatclub-20&linkCode=ur2&camp=1789&creative=390957\">on your Kindle<\/a> OR <a href=\"https:\/\/click.linksynergy.com\/fs-bin\/stat?id=PJTlq5NYqfE&offerid=146261&type=3&subid=blog&tmpid=1826&RD_PARM1=http%253A%252F%252Fitunes.apple.com%252Fus%252Fapp%252Fgmat-toolkit%252Fid328345537%253Fmt%253D8%2526uo%253D6%2526partnerId%253D30\">on your iPhone\/iPad<\/a><\/p>\n<p><a href=\"https:\/\/gmatclub.com\/blog\/category\/blog\/gmat-tests\/\"><strong>Browse all GMAT Questions of the Day<\/strong><\/a><\/p>\n<p><strong>Subscribe to GMAT Question of the Day:<\/strong> <a href=\"https:\/\/feedburner.google.com\/fb\/a\/mailverify?uri=GMAT-Question-of-the-day&amp;loc=en_US\">E-mail<\/a> | <a href=\"https:\/\/feeds.feedburner.com\/GMAT-Question-of-the-day\">RSS<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Math (PS) Function is defined as follows: if is positive or 0 then ; if is negative then . Which of the following is true about ? I. II. III.&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[152,9,721,717],"tags":[],"class_list":["post-10531","post","type-post","status-publish","format-standard","hentry","category-gmat-tests","category-gmat","category-critical-reasoning-gmat","category-problem-solving-gmat","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/posts\/10531","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\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/comments?post=10531"}],"version-history":[{"count":1,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/posts\/10531\/revisions"}],"predecessor-version":[{"id":10532,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/posts\/10531\/revisions\/10532"}],"wp:attachment":[{"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/media?parent=10531"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/categories?post=10531"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gmatclub.com\/blog\/wp-json\/wp\/v2\/tags?post=10531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}