{"id":6955,"date":"2017-10-14T11:07:58","date_gmt":"2017-10-14T05:37:58","guid":{"rendered":"https:\/\/www.reachivy.com\/?page_id=6955"},"modified":"2018-08-17T11:41:53","modified_gmt":"2018-08-17T06:11:53","slug":"resourcesquiz-megmatdata-sufficiency-quiz-2-html-2","status":"publish","type":"page","link":"https:\/\/www.reachivy.com\/blog\/resources\/quiz-me\/gmat\/data-sufficiency-quiz-3.html","title":{"rendered":"GMAT Data Sufficiency Quiz 3"},"content":{"rendered":"<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">Reading Time: <\/span> <span class=\"rt-time\"> &lt; 1<\/span> <span class=\"rt-label rt-postfix\">minute<\/span><\/span><p>Data Sufficiency test may not have been a part of your academic curriculum, but it is an important aspect of your GMAT. If you are unsure about Data Sufficiency, and your own ability to crack the test, here is a sample test to help you understand the test.<\/p>\n<p><em>Instructions: <\/em>This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether:<\/p>\n<p>Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.<br \/>\nStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.<br \/>\nBOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.<br \/>\nEACH statement ALONE is sufficient to answer the question asked.<br \/>\nStatements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. <\/p>\n<div style=\"height:100% !important;\">\n<style type=\"text\/css\">.mlw_qmn_quiz label {\r\n\t\t\t\tdisplay: inline;\r\n\t\t\t}\r\n\t\t\t.ui-tooltip\r\n\t\t\t{\r\n\t\t\t\tmax-width: 500px !important;\r\n\t\t\t}\r\n\t\t\t.ui-tooltip-content\r\n\t\t\t{\r\n\t\t\t\tmax-width: 500px !important;\r\n\t\t\t}\r\n\t\t\t.qmn_error, .qmn_page_error_message\r\n\t\t\t{\r\n\t\t\t\tcolor: red;\r\n\t\t\t}\r\n\t\t\t.mlw_qmn_hint_link\r\n\t\t\t{\r\n\t\t\ttext-decoration:underline;\r\n\t\t\tcolor:rgb(0,0,255);\r\n\t\t\t}\r\n\t\t\t.mlw_qmn_quiz_link\r\n\t\t\t{\r\n\t\t\t\tdisplay: inline;\r\n\t\t\t\tvertical-align:top !important;\r\n\t\t\t\ttext-decoration: none;\r\n\t\t\t\tfloat:left;\r\n\t\t\t\tmargin-right: 10px !important;\r\n\t\t\t\tmin-width: 79px;\r\n\t\t\t\ttext-align: center;\r\n\t\t\t}\r\n\t\t\tdiv.mlw_qmn_quiz input[type=radio],\r\n\t\t\tdiv.mlw_qmn_quiz input[type=submit],\r\n\t\t\tdiv.mlw_qmn_quiz label {\r\n\t\t\t\tcursor: pointer;\r\n\t\t\t}\r\n\t\t\tdiv.mlw_qmn_quiz input:not([type=submit]):focus,\r\n\t\t\tdiv.mlw_qmn_quiz textarea:focus {\r\n\t\t\t\tbackground: #eaeaea;\r\n\t\t\t}\r\n\t\t\tdiv.mlw_qmn_quiz {\r\n\t\t\t\ttext-align: left;\r\n\t\t\t}\r\n\t\t\tdiv.quiz_section {\r\n\r\n\t\t\t}\r\n                       div.qmn_results_page{\r\n                                height:100% !important;   \r\n                        }\r\n\t\t\t.mlw_horizontal_choice\r\n\t\t\t{\r\n\t\t\t\tmargin-right: 20px;\r\n\t\t\t}\r\n\t\t\tdiv.mlw_qmn_timer {\r\n\t\t\t\tposition:fixed;\r\n\t\t\t\ttop:200px;\r\n\t\t\t\tright:0px;\r\n\t\t\t\twidth:130px;\r\n\t\t\t\tcolor:#00CCFF;\r\n\t\t\t\tborder-radius: 15px;\r\n\t\t\t\tbackground:#000000;\r\n\t\t\t\ttext-align: center;\r\n\t\t\t\tpadding: 15px 15px 15px 15px\r\n\t\t\t}\r\n                        div.qmn_mc_answer_wrap\r\n                        {\r\n                            margin:10px;\r\n                        }\r\n                        div.qmn_question_answer\r\n                 \t{\r\n                            border-bottom-style: solid;\r\n                            border-bottom-width: thin; \r\n                            margin-bottom: 10px;\r\n                        }\r\n\t        \tdiv.mlw_qmn_quiz input[type=submit],\r\n\t\t\ta.mlw_qmn_quiz_link\r\n\t\t\t{\r\n\t\t\t\tborder-radius: 4px;\r\n\t\t\t\tposition: relative;\r\n\t\t\t\tfloat:left;\r\n\t\t\t\tmargin-right: 10px !important;\r\n\t\t\t\tmin-width: 79px;\r\n\t\t\t\ttext-align: center;\r\n\t\t\t\t\r\n\t\t\t\tborder: #ccc solid 1px;\r\n\r\n\t\t\t\ttext-shadow: 0 1px 0 rgba(255,255,255,.5);\r\n\t\t\t\tbox-sizing: border-box;\r\n\t\t\t\tdisplay: inline-block;\r\n\t\t\t\tpadding: 7px 7px 7px 7px;\r\n\t\t\t\tmargin: auto;\r\n\t\t\t\t\r\n\t\t\t\tcursor: pointer;\r\n                                background-color:#920000;\r\n                                color: #fff;\r\n\t\t\t}\r\n\t\t\t.mlw_qmn_question, .mlw_qmn_question_number, .mlw_qmn_comment_section_text\r\n\t\t\t{\r\n\t\t\t\tfont-weight: bold;\r\n\t\t\t}\r\n\t\t\t.mlw_next\r\n\t\t\t{\r\n\t\t\t\tfloat: left;\r\n\t\t\t\tmin-width: 79px;\r\n\t\t\t\ttext-align: center;\r\n\t\t\t}\r\n\t\t\t.mlw_previous\r\n\t\t\t{\r\n\t\t\t\tfloat: left;\r\n\t\t\t\tmargin-right: 10px !important;\r\n\t\t\t\tmin-width: 79px;\r\n\t\t\t\ttext-align: center;\r\n                                display: none !important;\r\n\t\t\t}\r\n\t\t\t.mlw_qmn_question_comment, .mlw_answer_open_text, .qmn_comment_section {\r\n\t\t\t\twidth: 100%;\r\n\t\t\t\tborder-radius: 7px;\r\n\t\t\t\tpadding: 2px 10px;\r\n\t\t\t\t-webkit-box-shadow: inset 0 3px 3px rgba(0,0,0,.075);\r\n\t\t\t\tbox-shadow: inset 0 3px 3px rgba(0,0,0,.075);\r\n\t\t\t\tborder: 1px solid #ccc;\r\n\t\t\t}<\/style><script>\n                            if (window.qmn_quiz_data === undefined) {\n                                    window.qmn_quiz_data = new Object();\n                            }\n                    <\/script><script>window.qmn_quiz_data[\"7\"] = {\"quiz_id\":\"7\",\"quiz_name\":\"GMAT Data Sufficiency Test 3\",\"disable_answer\":\"0\",\"ajax_show_correct\":\"1\",\"progress_bar\":0,\"contact_info_location\":\"0\",\"qpages\":[],\"skip_validation_time_expire\":0,\"timer_limit_val\":0,\"disable_scroll_next_previous_click\":0,\"disable_scroll_on_result\":0,\"disable_first_page\":0,\"enable_result_after_timer_end\":0,\"enable_quick_result_mc\":0,\"end_quiz_if_wrong\":0,\"form_disable_autofill\":0,\"disable_mathjax\":0,\"enable_quick_correct_answer_info\":0,\"quick_result_correct_answer_text\":\"Correct! You have selected correct answer.\",\"quick_result_wrong_answer_text\":\"Wrong! You have selected wrong answer.\",\"quiz_processing_message\":\"\",\"quiz_limit_choice\":\"Limit of choice is reached.\",\"not_allow_after_expired_time\":0,\"scheduled_time_end\":false,\"prevent_reload\":0,\"limit_email_based_submission\":0,\"total_user_tries\":0,\"is_logged_in\":false,\"pagination\":{\"amount\":1,\"section_comments\":\"1\",\"total_questions\":6,\"previous_text\":\"Previous\",\"next_text\":\"Next\",\"start_quiz_survey_text\":\"Next\",\"submit_quiz_text\":\"Submit\"},\"error_messages\":{\"email_error_text\":\"Not a valid e-mail address!\",\"number_error_text\":\"This field must be a number!\",\"incorrect_error_text\":\"The entered text is not correct!\",\"empty_error_text\":\"Please select at least one answer\",\"url_error_text\":\"The entered URL is not valid!\",\"minlength_error_text\":\"Required atleast %minlength% characters.\",\"maxlength_error_text\":\"Maximum %maxlength% characters allowed.\",\"recaptcha_error_text\":\"ReCaptcha is missing\"},\"question_list\":{\"68\":{\"question_id\":\"68\",\"quiz_id\":\"7\",\"question_name\":\"&lt;strong&gt;Question 1: &lt;\\\/strong&gt;&lt;br \\\/&gt; Line P is parallel to Line Q on the xy-coordinate plane. What is the shortest distance between the two lines?&lt;br \\\/&gt; (1) Line Q has a slope of 2. &lt;br \\\/&gt; (2) Line P crosses the y-axis at 8. &lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:82:\\\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:82:\\\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:88:\\\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:40:\\\"(D) EACH statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:55:\\\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\\\";i:1;d:0;i:2;i:1;}}\",\"answer_one\":\"\",\"answer_one_points\":\"0\",\"answer_two\":\"\",\"answer_two_points\":\"0\",\"answer_three\":\"\",\"answer_three_points\":\"0\",\"answer_four\":\"\",\"answer_four_points\":\"0\",\"answer_five\":\"\",\"answer_five_points\":\"0\",\"answer_six\":\"\",\"answer_six_points\":\"0\",\"correct_answer\":\"0\",\"question_answer_info\":\"The correct response is (E). Since the two lines are parallel, they will have the same slope. The shortest distance between two lines is always the length of the perpendicular segment that connects them. To be able to find the length of this segment, we need to know the two points on either end of that perpendicular segment. \\r\\nStatement (1) tells us that Line Q has an equation of y = 2x + b and Line P has an equation of y = 2x + c, but we still don\\u2019t know how far apart they are because we\\u2019re lacking the y-intercepts. Insufficient.\\r\\nStatement (2) tells us that (0, 8) is a point on Line P, but we do not have its corresponding perpendicular point on Line Q. Insufficient. \\r\\nCombined, we know that the perpendicular segment can be drawn from (0,8) on Line P to Line Q. The equation for that line would be y = 1\\\/2x + 8, since it is perpendicular and would have an opposite reciprocal slope. The equation for Line P would be y = 2x + 8. We still need to know the corresponding point on Line Q to find the shortest distance, and without more information about the placement of Line Q on the coordinate grid, this information is insufficient. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"1\",\"question_type\":\"0\",\"question_type_new\":\"0\",\"question_settings\":\"a:1:{s:8:\\\"required\\\";i:0;}\",\"category\":\"\",\"linked_question\":\"\",\"deleted\":\"0\",\"deleted_question_bank\":\"0\",\"answers\":[[\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \",0,0],[\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \",0,0],[\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \",0,0],[\"(D) EACH statement ALONE is sufficient. \",0,0],[\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\",0,1]]},\"70\":{\"question_id\":\"70\",\"quiz_id\":\"7\",\"question_name\":\"&lt;strong&gt;Question 2: &lt;\\\/strong&gt;&lt;br \\\/&gt; &lt;br \\\/&gt;Five circles are inscribed in a larger circle such that one of the five circles is placed exactly in the middle of the larger circle and tangent to the other four circles. The outer four small circles are tangent to the larger circle, but are not tangent to one another. What is the area of the region inside the larger circle but outside the smaller circles?&lt;br \\\/&gt; (1) The diameter of each smaller circle is 6\\u03c0.&lt;br \\\/&gt; (2) The diameter of the large circle passes through the diameter of three of the smaller circles. &lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:82:\\\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \\\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:82:\\\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:88:\\\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:40:\\\"(D) EACH statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:55:\\\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\\\";i:1;d:0;i:2;i:0;}}\",\"answer_one\":\"\",\"answer_one_points\":\"0\",\"answer_two\":\"\",\"answer_two_points\":\"0\",\"answer_three\":\"\",\"answer_three_points\":\"0\",\"answer_four\":\"\",\"answer_four_points\":\"0\",\"answer_five\":\"\",\"answer_five_points\":\"0\",\"answer_six\":\"\",\"answer_six_points\":\"0\",\"correct_answer\":\"0\",\"question_answer_info\":\"The correct response is (A). The information in the question-stem provides the exact physical relationship between the smaller and larger circles, but it does not give us the exact placement of the four outer smaller circles around the centered small circle (all we know is that they are only tangent to the inner small circle and the large circle). However, regardless of their position, the area of the region we\\u2019re looking for will be constant, so (2) is unnecessary. \\r\\nThe diameter of the larger circle = 3(diameter of one small circle)\\r\\nUsing statement (1), the diameter of the larger circle is 18\\u03c0, so its radius is 9\\u03c0. Its area is 81\\u03c0.\\r\\nIf the diameter of the small circles is 6\\u03c0, then their radius is 3\\u03c0. The area of each one is 9\\u03c0, and the total area of all four is 32\\u03c0. The area we\\u2019re looking for is 81\\u03c0 - 32\\u03c0 = 49\\u03c0.\\r\\n\",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"2\",\"question_type\":\"0\",\"question_type_new\":\"0\",\"question_settings\":\"a:1:{s:8:\\\"required\\\";i:0;}\",\"category\":\"\",\"linked_question\":\"\",\"deleted\":\"0\",\"deleted_question_bank\":\"0\",\"answers\":[[\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \",0,1],[\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \",0,0],[\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \",0,0],[\"(D) EACH statement ALONE is sufficient. \",0,0],[\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\",0,0]]},\"71\":{\"question_id\":\"71\",\"quiz_id\":\"7\",\"question_name\":\"&lt;strong&gt;Question 3: &lt;\\\/strong&gt;&lt;br \\\/&gt; &lt;br \\\/&gt;Right triangle ABC has a hypotenuse of 30. Side leg BC = 9x. What is the length of leg AB?&lt;br \\\/&gt; (1) Point D lies on BC such that DC = (4\\\/9)BC. &lt;br \\\/&gt; (2) AD = 26&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:82:\\\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:82:\\\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:88:\\\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:40:\\\"(D) EACH statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:55:\\\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\\\";i:1;d:0;i:2;i:0;}}\",\"answer_one\":\"\",\"answer_one_points\":\"0\",\"answer_two\":\"\",\"answer_two_points\":\"0\",\"answer_three\":\"\",\"answer_three_points\":\"0\",\"answer_four\":\"\",\"answer_four_points\":\"0\",\"answer_five\":\"\",\"answer_five_points\":\"0\",\"answer_six\":\"\",\"answer_six_points\":\"0\",\"correct_answer\":\"0\",\"question_answer_info\":\"The correct response is (C). Start by drawing the figure: \\r\\nStatement (1) tells us that BC = 9x and DC = (4\\\/9)BC = (4\\\/9)(9x) = 4x. If DC = 4x, then DB = 5x. \\r\\nNot sufficient to find AB, since we don\\u2019t know the value of x. \\r\\n&lt;img src=&quot;http:\\\/\\\/www.reachivy.com\\\/wp-content\\\/uploads\\\/2016\\\/02\\\/gmatDataSuff_13.png&quot; alt=&quot;&quot; width=&quot;255&quot; height=&quot;224&quot; class=&quot;alignnone size-full wp-image-6855&quot; \\\/&gt;\\r\\nStatement (2) tells us that AD = 26. By itself, we still cannot find a value for AB. \\r\\nCombined, we can write two equations with the same two variables using Pythagorean Theorem:\\r\\nAB2 + (5x)2 = 262\\r\\nAB2 + (9x)2 = 302\\r\\nSince both equations contain \\u201cx\\u201d and \\u201cAB,\\u201d we know we can solve using Substitution. Sufficient. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"3\",\"question_type\":\"0\",\"question_type_new\":\"0\",\"question_settings\":\"a:1:{s:8:\\\"required\\\";i:0;}\",\"category\":\"\",\"linked_question\":\"\",\"deleted\":\"0\",\"deleted_question_bank\":\"0\",\"answers\":[[\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \",0,0],[\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \",0,0],[\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \",0,1],[\"(D) EACH statement ALONE is sufficient. \",0,0],[\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\",0,0]]},\"73\":{\"question_id\":\"73\",\"quiz_id\":\"7\",\"question_name\":\"&lt;strong&gt;Question 4: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;&lt;img class=&quot;alignnone size-full wp-image-6857&quot; src=&quot;http:\\\/\\\/www.reachivy.com\\\/blog\\\/wp-content\\\/uploads\\\/2016\\\/02\\\/gmatDataSuff_14.png&quot; alt=&quot;&quot; width=&quot;292&quot; height=&quot;138&quot; \\\/&gt;&lt;br \\\/&gt;If AC = CE, and all horizontal lines in the figure are parallel, what is the value of y\\\/x?&lt;br \\\/&gt;(1) BD = 20&lt;br \\\/&gt;(2) GH = 18\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:82:\\\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:82:\\\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:88:\\\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:40:\\\"(D) EACH statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:55:\\\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\\\";i:1;d:0;i:2;i:0;}}\",\"answer_one\":\"\",\"answer_one_points\":\"0\",\"answer_two\":\"\",\"answer_two_points\":\"0\",\"answer_three\":\"\",\"answer_three_points\":\"0\",\"answer_four\":\"\",\"answer_four_points\":\"0\",\"answer_five\":\"\",\"answer_five_points\":\"0\",\"answer_six\":\"\",\"answer_six_points\":\"0\",\"correct_answer\":\"0\",\"question_answer_info\":\"The correct response is (C). Re-draw the figure, adding the given information to help you visualize:&amp;lt;img src=&amp;quot;http:\\\/\\\/www.reachivy.com\\\/wp-content\\\/uploads\\\/2016\\\/02\\\/gmatDataSuff_15.png&amp;quot; alt=&amp;quot;&amp;quot; width=&amp;quot;292&amp;quot; height=&amp;quot;138&amp;quot; class=&amp;quot;alignnone size-full wp-image-6857&amp;quot; \\\/&amp;gt;Remember that if three or more parallel lines cut off equal segments of a transversal, then they cut off equal segments of any other transversal. Since AB || CD || EF, and AC = CD, then just from the question-stem we know that BD = DF. Statement (1) tells us that BD = 20, so DF = 20, and y = 40. We still need a value for x, however, to find y\\\/x. Statement (2) allows us to find x using the same reasoning. If AC = CE, then GH = HI. GH = 3x = 18, so x = 6. However, without knowing more about BD or DF, we cannot know y. Insufficient. Combined, y = 40 and x = 6, the value is 40\\\/6 = 20\\\/3. Sufficient. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"1\",\"question_type\":\"0\",\"question_type_new\":\"0\",\"question_settings\":\"a:4:{s:8:\\\"required\\\";s:1:\\\"0\\\";s:12:\\\"answerEditor\\\";s:4:\\\"text\\\";s:8:\\\"autofill\\\";s:1:\\\"0\\\";s:10:\\\"limit_text\\\";s:1:\\\"0\\\";}\",\"category\":\"\",\"linked_question\":\"\",\"deleted\":\"0\",\"deleted_question_bank\":\"0\",\"answers\":[[\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \",0,0],[\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \",0,0],[\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \",0,1],[\"(D) EACH statement ALONE is sufficient. \",0,0],[\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\",0,0]]},\"74\":{\"question_id\":\"74\",\"quiz_id\":\"7\",\"question_name\":\"&lt;strong&gt;Question 5: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;&lt;img class=&quot;alignnone size-full wp-image-6859&quot; src=&quot;http:\\\/\\\/www.reachivy.com\\\/blog\\\/wp-content\\\/uploads\\\/2016\\\/02\\\/gmatDataSuff_16.png&quot; alt=&quot;&quot; width=&quot;196&quot; height=&quot;239&quot; \\\/&gt;&lt;br \\\/&gt;If AB = 14 and AP, BQ, and AB are tangents, what is the value of x?&lt;br \\\/&gt;(1) The radius of the circle is 6. &lt;br \\\/&gt;(2) PA = 6\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:82:\\\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:82:\\\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \\\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:88:\\\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:40:\\\"(D) EACH statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:55:\\\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\\\";i:1;d:0;i:2;i:0;}}\",\"answer_one\":\"\",\"answer_one_points\":\"0\",\"answer_two\":\"\",\"answer_two_points\":\"0\",\"answer_three\":\"\",\"answer_three_points\":\"0\",\"answer_four\":\"\",\"answer_four_points\":\"0\",\"answer_five\":\"\",\"answer_five_points\":\"0\",\"answer_six\":\"\",\"answer_six_points\":\"0\",\"correct_answer\":\"0\",\"question_answer_info\":\"The correct response is (B). Tangents to a circle from an outside point are equal, so AP = AR and BR = BQ. Starting with statement (1), we do not have any information about the length of the tangents in relation to the radius-length, so we cannot find a value for x based on this information. Insufficient. Statement (2) tells us that PA = 6. If PA = 6, then AR = 6. Since AB = 14, BR = 14-6 = 8. Because BR = BQ, x = 8. Sufficient. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"1\",\"question_type\":\"0\",\"question_type_new\":\"0\",\"question_settings\":\"a:4:{s:8:\\\"required\\\";s:1:\\\"0\\\";s:12:\\\"answerEditor\\\";s:4:\\\"text\\\";s:8:\\\"autofill\\\";s:1:\\\"0\\\";s:10:\\\"limit_text\\\";s:1:\\\"0\\\";}\",\"category\":\"\",\"linked_question\":\"\",\"deleted\":\"0\",\"deleted_question_bank\":\"0\",\"answers\":[[\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \",0,0],[\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \",0,1],[\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \",0,0],[\"(D) EACH statement ALONE is sufficient. \",0,0],[\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\",0,0]]},\"76\":{\"question_id\":\"76\",\"quiz_id\":\"7\",\"question_name\":\"&lt;strong&gt;Question 6: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;Three tennis balls fit into a cylindrical container such that the tennis balls touch the bottom and top of the can. If the formula for the volume of sphere is 4\\\/3(\\u03c0r3), what fraction of the volume of the container is occupied by the tennis balls?&lt;br \\\/&gt; (1) The radius of the container is 6. &lt;br \\\/&gt; (2) The radius of each tennis ball equals the radius of the container. &lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:82:\\\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:82:\\\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \\\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:88:\\\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:40:\\\"(D) EACH statement ALONE is sufficient. \\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:55:\\\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\\\";i:1;d:0;i:2;i:0;}}\",\"answer_one\":\"\",\"answer_one_points\":\"0\",\"answer_two\":\"\",\"answer_two_points\":\"0\",\"answer_three\":\"\",\"answer_three_points\":\"0\",\"answer_four\":\"\",\"answer_four_points\":\"0\",\"answer_five\":\"\",\"answer_five_points\":\"0\",\"answer_six\":\"\",\"answer_six_points\":\"0\",\"correct_answer\":\"0\",\"question_answer_info\":\"The correct answer is (B). Start with statement (1), this allows us to find the exact volume of the container \\u03c0r2h = \\u03c0r2(6r) = 6\\u03c0r3 = 6\\u03c0(6)3 = 1296\\u03c0. \\r\\n&lt;img src=&quot;http:\\\/\\\/www.reachivy.com\\\/wp-content\\\/uploads\\\/2016\\\/02\\\/gmatDataSuff_23.png&quot; alt=&quot;&quot; width=&quot;136&quot; height=&quot;308&quot; class=&quot;alignnone size-full wp-image-6864&quot; \\\/&gt;\\r\\nHowever, we do not know the width of the container in relation to the diameter of the tennis balls. It\\u2019s possible the tennis balls stack to the height of the container, but do not precisely touch the sides of the container. Insufficient. \\r\\nFor Statement (2), the volume of each tennis ball will be 4\\\/3(\\u03c0r3), and the volume of three tennis balls will be 3(4\\\/3(\\u03c0r3)) = 4\\u03c0r3. \\r\\nThe height of the container is equal to 6r. The volume of the cylindrical container = \\u03c0r2h = \\u03c0r2(6r) = 6\\u03c0r3.\\r\\nThe fraction of the volume of the container taken up by the tennis balls is 4\\u03c0r3\\\/6\\u03c0r3 = 4\\\/6 = 2\\\/3. Sufficient. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"6\",\"question_type\":\"0\",\"question_type_new\":\"0\",\"question_settings\":\"a:1:{s:8:\\\"required\\\";i:0;}\",\"category\":\"\",\"linked_question\":\"\",\"deleted\":\"0\",\"deleted_question_bank\":\"0\",\"answers\":[[\"(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. \",0,0],[\"(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. \",0,1],[\"(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. \",0,0],[\"(D) EACH statement ALONE is sufficient. \",0,0],[\"(E) Statements (1) and (2) TOGETHER are NOT sufficient.\",0,0]]}},\"first_page\":true}\n                    <\/script><div class='qsm-quiz-container qsm-quiz-container-7 qmn_quiz_container mlw_qmn_quiz qsm_auto_pagination_enabled quiz_theme_default  '>\n\t\t\t\t\t\t\t\t<form name=\"quizForm7\" id=\"quizForm7\" action=\"\/blog\/wp-json\/wp\/v2\/pages\/6955\" method=\"POST\" class=\"qsm-quiz-form qmn_quiz_form mlw_quiz_form\" novalidate enctype=\"multipart\/form-data\">\n\t\t\t\t<input type=\"hidden\" name=\"qsm_hidden_questions\" id=\"qsm_hidden_questions\" value=\"\">\n\t\t\t\t<input type=\"hidden\" name=\"qsm_nonce\" id=\"qsm_nonce_7\" value=\"56b8b5853d\">\n\t\t\t\t<input type=\"hidden\" name=\"qsm_unique_key\" id=\"qsm_unique_key_7\" value=\"6ab06787c2b8a\">\n\t\t\t\t<div id=\"mlw_error_message\" class=\"qsm-error-message qmn_error_message_section\"><\/div>\n\t\t\t\t<span id=\"mlw_top_of_quiz\"><\/span>\n\t\t\t\t\t\t\t<div class=\"qsm-auto-page-row quiz_section quiz_begin \">\n\t\t\t\t\t\t\t\t<div class='mlw_qmn_message_before'>\n\t\t\t\t\t<p>Welcome to our GMAT Data Sufficiency Quiz 3. To begin click Next<\/p>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"qsm-auto-page-row qsm-question-page qsm-apc-1\" data-apid=\"1\" data-qpid=\"1\" style=\"display: none;\">\n\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0  question-section-id-68 slide1 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 1: <\/strong><br \/> Line P is parallel to Line Q on the xy-coordinate plane. What is the shortest distance between the two lines?<br \/> (1) Line Q has a slope of 2. <br \/> (2) Line P crosses the y-axis at 8. <br \/><br \/><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers mlwRequiredRadio'>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question68-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question68\" id=\"question68_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question68_1\">\n\t\t\t\t\t(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question68-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question68\" id=\"question68_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question68_2\">\n\t\t\t\t\t(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question68-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question68\" id=\"question68_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question68_3\">\n\t\t\t\t\t(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question68-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question68\" id=\"question68_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question68_4\">\n\t\t\t\t\t(D) EACH statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question68-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question68\" id=\"question68_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question68_5\">\n\t\t\t\t\t(E) Statements (1) and (2) TOGETHER are NOT sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question68_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question68\" id=\"question68_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_68\" value=\"\" \/>\n\t\t\t\t<\/div><!-- .quiz_section -->\n\t\t\t\t\t\t\t\t<\/div><!-- .qsm-auto-page-row -->\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm-auto-page-row qsm-question-page qsm-apc-2\" data-apid=\"2\" data-qpid=\"2\" style=\"display: none;\">\n\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0  question-section-id-70 slide2 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 2: <\/strong><br \/> <br \/>Five circles are inscribed in a larger circle such that one of the five circles is placed exactly in the middle of the larger circle and tangent to the other four circles. The outer four small circles are tangent to the larger circle, but are not tangent to one another. What is the area of the region inside the larger circle but outside the smaller circles?<br \/> (1) The diameter of each smaller circle is 6\u03c0.<br \/> (2) The diameter of the large circle passes through the diameter of three of the smaller circles. <br \/><br \/><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers mlwRequiredRadio'>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question70-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question70\" id=\"question70_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question70_1\">\n\t\t\t\t\t(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question70-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question70\" id=\"question70_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question70_2\">\n\t\t\t\t\t(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question70-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question70\" id=\"question70_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question70_3\">\n\t\t\t\t\t(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question70-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question70\" id=\"question70_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question70_4\">\n\t\t\t\t\t(D) EACH statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question70-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question70\" id=\"question70_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question70_5\">\n\t\t\t\t\t(E) Statements (1) and (2) TOGETHER are NOT sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question70_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question70\" id=\"question70_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_70\" value=\"\" \/>\n\t\t\t\t<\/div><!-- .quiz_section -->\n\t\t\t\t\t\t\t\t<\/div><!-- .qsm-auto-page-row -->\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm-auto-page-row qsm-question-page qsm-apc-3\" data-apid=\"3\" data-qpid=\"3\" style=\"display: none;\">\n\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0  question-section-id-71 slide3 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 3: <\/strong><br \/> <br \/>Right triangle ABC has a hypotenuse of 30. Side leg BC = 9x. What is the length of leg AB?<br \/> (1) Point D lies on BC such that DC = (4\/9)BC. <br \/> (2) AD = 26<br \/><br \/><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers mlwRequiredRadio'>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question71-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question71\" id=\"question71_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question71_1\">\n\t\t\t\t\t(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question71-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question71\" id=\"question71_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question71_2\">\n\t\t\t\t\t(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question71-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question71\" id=\"question71_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question71_3\">\n\t\t\t\t\t(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question71-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question71\" id=\"question71_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question71_4\">\n\t\t\t\t\t(D) EACH statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question71-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question71\" id=\"question71_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question71_5\">\n\t\t\t\t\t(E) Statements (1) and (2) TOGETHER are NOT sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question71_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question71\" id=\"question71_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_71\" value=\"\" \/>\n\t\t\t\t<\/div><!-- .quiz_section -->\n\t\t\t\t\t\t\t\t<\/div><!-- .qsm-auto-page-row -->\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm-auto-page-row qsm-question-page qsm-apc-4\" data-apid=\"4\" data-qpid=\"4\" style=\"display: none;\">\n\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0  question-section-id-73 slide4 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 4: <\/strong><br \/><br \/><br \/><img decoding=\"async\" class=\"alignnone size-full wp-image-6857\" src=\"http:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_14.png\" alt=\"\" width=\"292\" height=\"138\" srcset=\"https:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_14.png 292w, https:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_14-768x362.png 768w\" sizes=\"(max-width: 292px) 100vw, 292px\" \/><br \/>If AC = CE, and all horizontal lines in the figure are parallel, what is the value of y\/x?<br \/>(1) BD = 20<br \/>(2) GH = 18<\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers mlwRequiredRadio'>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question73-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question73\" id=\"question73_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question73_1\">\n\t\t\t\t\t(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question73-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question73\" id=\"question73_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question73_2\">\n\t\t\t\t\t(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question73-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question73\" id=\"question73_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question73_3\">\n\t\t\t\t\t(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question73-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question73\" id=\"question73_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question73_4\">\n\t\t\t\t\t(D) EACH statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question73-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question73\" id=\"question73_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question73_5\">\n\t\t\t\t\t(E) Statements (1) and (2) TOGETHER are NOT sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question73_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question73\" id=\"question73_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_73\" value=\"\" \/>\n\t\t\t\t<\/div><!-- .quiz_section -->\n\t\t\t\t\t\t\t\t<\/div><!-- .qsm-auto-page-row -->\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm-auto-page-row qsm-question-page qsm-apc-5\" data-apid=\"5\" data-qpid=\"5\" style=\"display: none;\">\n\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0  question-section-id-74 slide5 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 5: <\/strong><br \/><br \/><img decoding=\"async\" class=\"alignnone size-full wp-image-6859\" src=\"http:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_16.png\" alt=\"\" width=\"196\" height=\"239\" srcset=\"https:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_16.png 196w, https:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_16-768x936.png 768w\" sizes=\"(max-width: 196px) 100vw, 196px\" \/><br \/>If AB = 14 and AP, BQ, and AB are tangents, what is the value of x?<br \/>(1) The radius of the circle is 6. <br \/>(2) PA = 6<\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers mlwRequiredRadio'>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question74-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question74\" id=\"question74_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question74_1\">\n\t\t\t\t\t(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question74-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question74\" id=\"question74_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question74_2\">\n\t\t\t\t\t(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question74-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question74\" id=\"question74_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question74_3\">\n\t\t\t\t\t(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question74-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question74\" id=\"question74_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question74_4\">\n\t\t\t\t\t(D) EACH statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question74-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question74\" id=\"question74_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question74_5\">\n\t\t\t\t\t(E) Statements (1) and (2) TOGETHER are NOT sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question74_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question74\" id=\"question74_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_74\" value=\"\" \/>\n\t\t\t\t<\/div><!-- .quiz_section -->\n\t\t\t\t\t\t\t\t<\/div><!-- .qsm-auto-page-row -->\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm-auto-page-row qsm-question-page qsm-apc-6\" data-apid=\"6\" data-qpid=\"6\" style=\"display: none;\">\n\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0  question-section-id-76 slide6 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 6: <\/strong><br \/><br \/>Three tennis balls fit into a cylindrical container such that the tennis balls touch the bottom and top of the can. If the formula for the volume of sphere is 4\/3(\u03c0r3), what fraction of the volume of the container is occupied by the tennis balls?<br \/> (1) The radius of the container is 6. <br \/> (2) The radius of each tennis ball equals the radius of the container. <br \/><br \/><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers mlwRequiredRadio'>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question76-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question76\" id=\"question76_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question76_1\">\n\t\t\t\t\t(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question76-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question76\" id=\"question76_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question76_2\">\n\t\t\t\t\t(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question76-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question76\" id=\"question76_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question76_3\">\n\t\t\t\t\t(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question76-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question76\" id=\"question76_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question76_4\">\n\t\t\t\t\t(D) EACH statement ALONE is sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question76-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question76\" id=\"question76_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question76_5\">\n\t\t\t\t\t(E) Statements (1) and (2) TOGETHER are NOT sufficient.\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question76_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question76\" id=\"question76_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_76\" value=\"\" \/>\n\t\t\t\t<\/div><!-- .quiz_section -->\n\t\t\t\t\t\t\t\t<\/div><!-- .qsm-auto-page-row -->\n\t\t\t\t\t\t\t<input type=\"hidden\" name=\"qmn_question_list\" value=\"68Q70Q71Q73Q74Q76Q\" \/>\n\t\t\t\t\t<br \/>\n\t\t\t<div class=\"qsm-auto-page-row quiz_section quiz_end qsm-d-none\">\n\t\t\t\t\t\t\t\t\t<span class='mlw_qmn_message_end'>\n\t\t\t\t\t<p>You have answered all the questions in the quiz. Press Submit to view your score<\/p>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<br \/><br \/>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div id=\"mlw_error_message_bottom\" class=\"qsm-error-message qmn_error_message_section\"><\/div>\n\t\t\t\t\t<input type=\"hidden\" name=\"qmn_all_questions_count\" id=\"qmn_all_questions_count\" value=\"6\" \/>\n\t\t\t\t\t<input type=\"hidden\" name=\"total_questions\" id=\"total_questions\" value=\"6\" \/>\n\t\t\t\t\t<input type=\"hidden\" name=\"timer\" id=\"timer\" value=\"0\" \/>\n\t\t\t\t\t<input type=\"hidden\" name=\"timer_ms\" id=\"timer_ms\" value=\"0\"\/>\n\t\t\t\t\t<input type=\"hidden\" class=\"qmn_quiz_id\" name=\"qmn_quiz_id\" id=\"qmn_quiz_id\" value=\"7\" \/>\n\t\t\t\t\t<input type='hidden' name='complete_quiz' value='confirmation' \/>\n\t\t\t\t\t\t\t\t\t<\/form>\n\t\t<\/div>\n\t\t<div style=\"display: none;\" class=\"qsm-popup qsm-popup-slide\" id=\"modal-4\" aria-hidden=\"false\"><div class=\"qsm-popup__overlay\" tabindex=\"-1\" data-micromodal-close=\"\"><div class=\"qsm-popup__container qmn_quiz_container\" role=\"dialog\" aria-modal=\"true\"><div class=\"qsm-popup__content\"><img decoding=\"async\" src=\"https:\/\/www.reachivy.com\/blog\/wp-content\/plugins\/quiz-master-next\/assets\/clock.png\" alt=\"clock.png\"\/><p class=\"qsm-time-up-text\"> Time's up<\/p><\/div><footer class=\"qsm-popup__footer\"><button class=\"qsm-popup-secondary-button qmn_btn\" data-micromodal-close=\"\" aria-label=\"Close this dialog window\" onclick=\"location.reload();\">Cancel<\/button><\/footer><\/div><\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Data Sufficiency test may not have been a part of your academic curriculum, but it is an important aspect of your GMAT. If you are unsure about Data Sufficiency, and your own ability to crack the test, here is a sample test to help you understand the test. Instructions: This data sufficiency problem consists of&#8230;<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":6842,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"template-plaintextinnerpage.php","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"footnotes":""},"class_list":["post-6955","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages\/6955","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/comments?post=6955"}],"version-history":[{"count":1,"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages\/6955\/revisions"}],"predecessor-version":[{"id":6956,"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages\/6955\/revisions\/6956"}],"up":[{"embeddable":true,"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages\/6842"}],"wp:attachment":[{"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/media?parent=6955"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}