{"id":6947,"date":"2017-10-14T10:20:30","date_gmt":"2017-10-14T04:50:30","guid":{"rendered":"https:\/\/www.reachivy.com\/?page_id=6947"},"modified":"2018-08-17T11:37:33","modified_gmt":"2018-08-17T06:07:33","slug":"resourcesquiz-megmatreading-comprehension-html-2","status":"publish","type":"page","link":"https:\/\/www.reachivy.com\/blog\/resources\/quiz-me\/gmat\/problem-solving.html","title":{"rendered":"GMAT Problem Solving"},"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>GMAT problem solving section may seem simple as they use 8th grade math concepts. But often students are stumped by the complexity of the questions. Also, the challenge of managing time adds its own difficulties. Here is a quick problem solving test that simulates the GMAT. Take the test now!<\/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[\"5\"] = {\"quiz_id\":\"5\",\"quiz_name\":\"GMAT Problem Solving\",\"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\":10,\"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\":{\"58\":{\"question_id\":\"58\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 1: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;If the volume of a right circular cylinder is reduced by 60% by reducing the height of the cylinder by 10%, by what percent must the radius of the base be reduced?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:3:\\\"22%\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:3:\\\"33%\\\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:3:\\\"50%\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:3:\\\"67%\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:3:\\\"78%\\\";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\":\"(A) 22%\\r\\n(B) 33%\\r\\n(C) 50%\\r\\n(D) 67%\\r\\n(E) 78%\\r\\n--\\r\\nThe correct response is (B). The volume of a right circular cylinder is V = \\u03c0r2h. Since the new volume is what is left after 60% is reduced, the new volume (V2) is 40% of the old volume: V2 = .4(\\u03c0r2h). The new height is what remained after the old height is reduced by 10%, so the new height is 90% of the old height: V2 = \\u03c0r2(.9h). We\\u2019re going to solve for the percent (p) by which the radius is reduced in the original formula to equal the new volume:\\r\\nNew Volume = Old Volume after reductions \\r\\n.4\\u03c0r2h = \\u03c0(pr)2(.9h) \\r\\n.4\\u03c0r2h = .9\\u03c0hp2r2\\r\\n.4 = .9p2\\r\\n.4\\\/.9 = p2\\r\\n2\\\/3 = p\\r\\n67% of the original radius is the length of the new radius. That means the reduction was approximately 33%, or choice (B). \",\"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\":[[\"22%\",0,0],[\"33%\",0,1],[\"50%\",0,0],[\"67%\",0,0],[\"78%\",0,0]]},\"60\":{\"question_id\":\"60\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 2: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;How many ways can the eleven letters in the word MISSISSIPPI be arranged to create unique 11-letter codes if all the letters are used in each code?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:9:\\\"(A) 9,348\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:10:\\\"(B) 20,174\\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:10:\\\"(C) 34,650\\\";i:1;d:0;i:2;i:1;}i:3;a:3:{i:0;s:10:\\\"(D) 68,923\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:11:\\\"(E) 112,780\\\";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\":\"(A) 9,348\\r\\n(B) 20,174\\r\\n(C) 34,650\\r\\n(D) 68,923\\r\\n(E) 112,780\\r\\n--\\r\\nThe correct response is (C). This question asks about a permutation of a word with many repeated letters. There are 11! ways to arrange 11 letters, but since we are looking to create \\u201cunique\\u201d codes, we have to account for the 4 I\\u2019s, 4 S\\u2019s, and 2 P\\u2019s, which will limit the total possible number of codes. 11! \\\/ 4! 4! 2! = 11 x 10 x 9 x 8 x 7 x 6 x 5 \\\/ 4 x 3 x 2 x 2 = 11 x 10 x 9 x 7 x 5 = 34, 650\",\"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) 9,348\",0,0],[\"(B) 20,174\",0,0],[\"(C) 34,650\",0,1],[\"(D) 68,923\",0,0],[\"(E) 112,780\",0,0]]},\"62\":{\"question_id\":\"62\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 3: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;If f(a) = a2, what is the value of (f(a + b) \\u2013 f(a))\\\/b?&lt;br \\\/&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:5:\\\"(A) a\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:5:\\\"(B) b\\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:6:\\\"(C) 2a\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:10:\\\"(D) 2a + b\\\";i:1;d:0;i:2;i:1;}i:4;a:3:{i:0;s:10:\\\"(E) 2b - a\\\";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\":\"(A) a\\r\\n(B) b\\r\\n(C) 2a\\r\\n(D) 2a + b\\r\\n(E) 2b - a\\r\\n--\\r\\nThe correct response is (D). Start by simplifying the numerator using substitution. If f(a) = a2, then f(a + b) = (a + b)2 = a2 + 2ab + b2. The expression can be rewritten as: \\r\\n (a2 + 2ab + b2 \\u2013 a2)\\\/b\\r\\n(2ab + b2) \\\/ b\\r\\n2a + b\\r\\n\",\"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) a\",0,0],[\"(B) b\",0,0],[\"(C) 2a\",0,0],[\"(D) 2a + b\",0,1],[\"(E) 2b - a\",0,0]]},\"63\":{\"question_id\":\"63\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 4: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;A rectangular solid has dimensions of 3 x 5 x 7. What is the length of the longest segment whose endpoints are vertices of the solid?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:7:\\\"(A) 8.9\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:7:\\\"(B) 9.1\\\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:7:\\\"(C) 9.5\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:7:\\\"(D) 9.8\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:8:\\\"(E) 10.1\\\";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\":\"(A) 8.9\\r\\n(B) 9.1\\r\\n(C) 9.5\\r\\n(D) 9.8\\r\\n(E) 10.1\\r\\n--\\r\\nThe correct response is (B). It may help to draw a picture of the solid to visualize what the \\u201clongest segment\\u201d would look like. \\r\\nGiven a prism A x B x C, the longest segment between two vertices of the solid will always equal the square root of A2 + B2 + C2. \\r\\n32 + 52 + 72 = 9 + 25 + 49 = 83\\r\\nThe \\u221a83 will be a little bit larger than 9, since \\u221a81 = 9. The answer is 9.1. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"4\",\"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) 8.9\",0,0],[\"(B) 9.1\",0,1],[\"(C) 9.5\",0,0],[\"(D) 9.8\",0,0],[\"(E) 10.1\",0,0]]},\"69\":{\"question_id\":\"69\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 5: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;Eight senators and six representatives have volunteered to work on a Congressional committee that will consist of two members from each body. How many unique committees can be created?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:6:\\\"(A) 43\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:7:\\\"(B) 110\\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:7:\\\"(C) 280\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:7:\\\"(D) 360\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:7:\\\"(E) 420\\\";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\":\"(A) 43\\r\\n(B) 110\\r\\n(C) 280\\r\\n(D) 360\\r\\n(E) 420\\r\\n--\\r\\nThe correct response is (E). There are 8C2 ways to choose 2 senators from 8.  8! \\\/ 6!2! = 8 x 7 \\\/ 2 = 28. There are 6C2 ways to choose 2 representatives from 6. 6! \\\/ 4! 2! = 6 x 5 \\\/ 2 = 30\\\/2 = 15. Combined, there are 28 x 15 = 420 committees that can be formed. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"5\",\"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) 43\",0,0],[\"(B) 110\",0,0],[\"(C) 280\",0,0],[\"(D) 360\",0,0],[\"(E) 420\",0,1]]},\"64\":{\"question_id\":\"64\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 6: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;The volume of a cone is 1\\\/3\\u03c0r2h and the volume of a sphere is 4\\\/3\\u03c0r3, where r = radius and h = height. If a right circular cone whose radius is 4 is inscribed in a sphere with a radius of 5, what fraction of the sphere\\u2019s volume is the cone\\u2019s volume, approximately?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:7:\\\"(A) 1\\\/4\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:7:\\\"(B) 1\\\/3\\\";i:1;d:0;i:2;i:1;}i:2;a:3:{i:0;s:7:\\\"(C) 5\\\/8\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:7:\\\"(D) 2\\\/3\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:7:\\\"(E) 3\\\/4\\\";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\":\"(A) 1\\\/4\\r\\n(B) 1\\\/3\\r\\n(C) 5\\\/8\\r\\n(D) 2\\\/3\\r\\n(E) 3\\\/4\\r\\n--\\r\\nThe correct response is (B). It may be helpful to draw a picture of the sphere and cone to visually determine the height of the cone. Since the radius of the sphere is 5 and the radius of the base of the cone is 4, we know that the distance from the center of the sphere to the base of the cone must be 3 (special right triangle 3:4:5). The height from the base of the cone to the top of the cone\\\/sphere will be equal to 3 + the radius of the sphere (5) = 8. \\r\\n&lt;img src=&quot;http:\\\/\\\/www.reachivy.com\\\/wp-content\\\/uploads\\\/2016\\\/02\\\/gmatDataSuff_12.png&quot; alt=&quot;&quot; width=&quot;218&quot; height=&quot;232&quot; class=&quot;alignnone size-full wp-image-6854&quot; \\\/&gt;\\r\\nNow we can plug our values into the provided formulas:\\r\\nVolume of a cone is 1\\\/3\\u03c0r2h:\\r\\n1\\\/3\\u03c0(4)2(8) \\r\\n1\\\/3\\u03c0(16)(8)\\r\\n(128\\\/3)\\u03c0\\r\\nThe volume of a sphere is 4\\\/3\\u03c0r3:\\r\\n4\\\/3\\u03c0(5)3\\r\\n4\\\/3\\u03c0(125)\\r\\n(500\\\/3)\\u03c0\\r\\nThe cone\\u2019s volume divided by the sphere\\u2019s volume is (128\\\/3)\\u03c0 \\\/(500\\\/3)\\u03c0:\\r\\n(128\\\/3)\\\/(500\\\/3) = 128\\\/3 * 3\\\/500 = 384 \\\/ 1500. \\r\\nWe know 500\\\/1500 = 1\\\/3, so the correct answer must be smaller than 1\\\/3. The only option is (A). \",\"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) 1\\\/4\",0,0],[\"(B) 1\\\/3\",0,1],[\"(C) 5\\\/8\",0,0],[\"(D) 2\\\/3\",0,0],[\"(E) 3\\\/4\",0,0]]},\"72\":{\"question_id\":\"72\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 7: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;The circumference of a right circular cylinder is half its height. The radius of the cylinder is x. What is the volume of the cylinder in terms of x?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:9:\\\"(A) 2\\u03c0x3\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:9:\\\"(B) 3\\u03c0x3\\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:10:\\\"(C) 3\\u03c02x2\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:10:\\\"(D) 4\\u03c02x2\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:10:\\\"(E) 4\\u03c02x3\\\";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\":\"(A) 2\\u03c0x3\\r\\n(B) 3\\u03c0x3\\r\\n(C) 3\\u03c02x2\\r\\n(D) 4\\u03c02x2\\r\\n(E) 4\\u03c02x3\\r\\n--\\r\\nThe correct response is (E). C = 1\\\/2h, h = 2C.\\r\\nCircumference of a circle = 2\\u03c0r = 2\\u03c0x\\r\\nh = 2(2\\u03c0x)\\r\\nh = 4\\u03c0x\\r\\nThe volume of a shape is the area of its base multiplied by its height. A cylinder\\u2019s base is a circle, and its area is \\u03c0r2.\\r\\nVolume = \\u03c0r2h\\r\\nVolume = \\u03c0x2h\\r\\nVolume = \\u03c0x2(4\\u03c0x)\\r\\nVolume = 4\\u03c02x3\",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"7\",\"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) 2\\u03c0x3\",0,0],[\"(B) 3\\u03c0x3\",0,0],[\"(C) 3\\u03c02x2\",0,0],[\"(D) 4\\u03c02x2\",0,0],[\"(E) 4\\u03c02x3\",0,1]]},\"75\":{\"question_id\":\"75\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 8: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;&lt;img class=&quot;alignnone size-full wp-image-6863&quot; src=&quot;http:\\\/\\\/www.reachivy.com\\\/blog\\\/wp-content\\\/uploads\\\/2016\\\/02\\\/gmatDataSuff_22.png&quot; alt=&quot;&quot; width=&quot;222&quot; height=&quot;211&quot; \\\/&gt;&lt;br \\\/&gt;If AP = BP, and arc AP = 140, what is the measure of angle BPC?\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:6:\\\"(A) 10\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:6:\\\"(B) 20\\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:6:\\\"(C) 30\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:6:\\\"(D) 40\\\";i:1;d:0;i:2;i:1;}i:4;a:3:{i:0;s:6:\\\"(E) 50\\\";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\":\"(A) 10(B) 20(C) 30(D) 40(E) 50--The correct response is (D).  If AP = BP and arc AP = 140, then arc AB = 140 as well, since ABP is an isosceles triangle. Since there are 360 degrees in a circle, arc BP must be 360 \\u2013 2(140) = 80. Angle BPC is an inscribed angle of arc BP. An angle formed by a tangent (PC) and a chord (BP) lying on the circumference of the circle will measure one-half of the intercepted arc. Since arc BP = 80, angle BPC = 40. \",\"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) 10\",0,0],[\"(B) 20\",0,0],[\"(C) 30\",0,0],[\"(D) 40\",0,1],[\"(E) 50\",0,0]]},\"77\":{\"question_id\":\"77\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 9: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;&lt;br \\\/&gt; If ABC is an equilateral triangle, B is equidistant from all points on the sector outside triangle ABC, and AC = 12, what is the area of the shaded region?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:17:\\\"(A) 18\\u03c0 + 36\\u221a3\\\";i:1;d:0;i:2;i:1;}i:1;a:3:{i:0;s:17:\\\"(B) 22\\u03c0 + 36\\u221a2\\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:17:\\\"(C) 26\\u03c0 + 38\\u221a3\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:17:\\\"(D) 32\\u03c0 + 38\\u221a3\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:17:\\\"(E) 38\\u03c0 + 38\\u221a3\\\";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\":\"(A) 18\\u03c0 + 36\\u221a3\\r\\n(B) 22\\u03c0 + 36\\u221a2\\r\\n(C) 26\\u03c0 + 38\\u221a3\\r\\n(D) 32\\u03c0 + 38\\u221a3\\r\\n(E) 38\\u03c0 + 38\\u221a3\\r\\n--\\r\\nThe correct response is (A). Given the information, we know A, B, and C are the centers of circles that are tangent to one another. The shaded region represents the area of one circle + the area of the space enclosed by the three circles. \\r\\nThe area of the circle with center B = \\u03c0r2 = \\u03c0(6)2 = 36\\u03c0.\\r\\nNow we have to find the part of the shaded region enclosed by all three circles.  It will be equivalent to the area of triangle ABC \\u2013 area of the three sectors. \\r\\nArea of triangle = 1\\\/2bh = \\u00bd(12)(6\\u221a3) = 36\\u221a3\\r\\nArea of one sector = 60\\\/360(\\u03c0r2) = 1\\\/6\\u03c0(6)2 = 6\\u03c0\\r\\nArea of all three sectors = 3(6\\u03c0) = 18\\u03c0\\r\\nThe area of the enclosed shaded region = 36\\u221a3 - 18\\u03c0.\\r\\nThe total area of the shaded region = 36\\u03c0 + 36\\u221a3 - 18\\u03c0 = 18\\u03c0 + 36\\u221a3. \",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"9\",\"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) 18\\u03c0 + 36\\u221a3\",0,1],[\"(B) 22\\u03c0 + 36\\u221a2\",0,0],[\"(C) 26\\u03c0 + 38\\u221a3\",0,0],[\"(D) 32\\u03c0 + 38\\u221a3\",0,0],[\"(E) 38\\u03c0 + 38\\u221a3\",0,0]]},\"78\":{\"question_id\":\"78\",\"quiz_id\":\"5\",\"question_name\":\"&lt;strong&gt;Question 10: &lt;\\\/strong&gt;&lt;br \\\/&gt;&lt;br \\\/&gt;&lt;br \\\/&gt; In an aquarium tank, the ratio of the number of clownfish to zebrafish is 7 to 56. If 6 more zebrafish were added to the tank, the new ratio would be 7 to 58. How many total clownfish and zebrafish will be in the tank after the zebrafish are added?&lt;br \\\/&gt;&lt;br \\\/&gt;\",\"answer_array\":\"a:5:{i:0;a:3:{i:0;s:6:\\\"(A) 21\\\";i:1;d:0;i:2;i:0;}i:1;a:3:{i:0;s:6:\\\"(B) 76\\\";i:1;d:0;i:2;i:0;}i:2;a:3:{i:0;s:7:\\\"(C) 168\\\";i:1;d:0;i:2;i:0;}i:3;a:3:{i:0;s:7:\\\"(D) 189\\\";i:1;d:0;i:2;i:0;}i:4;a:3:{i:0;s:7:\\\"(E) 195\\\";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\":\"(A) 21\\r\\n(B) 76\\r\\n(C) 168\\r\\n(D) 189\\r\\n(E) 195\\r\\n--\\r\\nThe correct response is (E). Let c = number of clownfish and z = number of zebrafish. \\r\\nc\\\/7 = z\\\/56\\r\\n7z = 56c\\r\\nAfter adding 6 more zebrafish, the new ratios would be:\\r\\nc \\\/ 7 = z + 6 \\\/ 58\\r\\n58c = 7z + 42\\r\\nSubtract the first equation from the second:\\r\\n58c = 7z + 42\\r\\n-(56c = 7z)\\r\\n2c = 42\\r\\nc = 21\\r\\nPlug in c = 21 into either equation to solve for z.\\r\\n7z = 56c\\r\\n7z = 56(21)\\r\\n7z = 1176\\r\\nz = 168\\r\\n21 + 168 = 189 fish total + 6 added zebrafish = 195.\",\"comments\":\"1\",\"hints\":\"\",\"question_order\":\"10\",\"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) 21\",0,0],[\"(B) 76\",0,0],[\"(C) 168\",0,0],[\"(D) 189\",0,0],[\"(E) 195\",0,1]]}},\"first_page\":true}\n                    <\/script><div class='qsm-quiz-container qsm-quiz-container-5 qmn_quiz_container mlw_qmn_quiz qsm_auto_pagination_enabled quiz_theme_default  '>\n\t\t\t\t\t\t\t\t<form name=\"quizForm5\" id=\"quizForm5\" action=\"\/blog\/wp-json\/wp\/v2\/pages\/6947\" 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_5\" value=\"c0688e8e7f\">\n\t\t\t\t<input type=\"hidden\" name=\"qsm_unique_key\" id=\"qsm_unique_key_5\" value=\"6ab069955c3a8\">\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>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-58 slide1 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 1: <\/strong><br \/><br \/>If the volume of a right circular cylinder is reduced by 60% by reducing the height of the cylinder by 10%, by what percent must the radius of the base be reduced?<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=\"question58-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question58\" id=\"question58_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question58_1\">\n\t\t\t\t\t22%\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=\"question58-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question58\" id=\"question58_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question58_2\">\n\t\t\t\t\t33%\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=\"question58-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question58\" id=\"question58_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question58_3\">\n\t\t\t\t\t50%\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=\"question58-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question58\" id=\"question58_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question58_4\">\n\t\t\t\t\t67%\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=\"question58-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question58\" id=\"question58_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question58_5\">\n\t\t\t\t\t78%\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=\"question58_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question58\" id=\"question58_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_58\" 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-60 slide2 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 2: <\/strong><br \/><br \/>How many ways can the eleven letters in the word MISSISSIPPI be arranged to create unique 11-letter codes if all the letters are used in each code?<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=\"question60-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question60\" id=\"question60_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question60_1\">\n\t\t\t\t\t(A) 9,348\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=\"question60-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question60\" id=\"question60_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question60_2\">\n\t\t\t\t\t(B) 20,174\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=\"question60-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question60\" id=\"question60_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question60_3\">\n\t\t\t\t\t(C) 34,650\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=\"question60-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question60\" id=\"question60_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question60_4\">\n\t\t\t\t\t(D) 68,923\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=\"question60-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question60\" id=\"question60_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question60_5\">\n\t\t\t\t\t(E) 112,780\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=\"question60_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question60\" id=\"question60_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_60\" 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-62 slide3 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 3: <\/strong><br \/><br \/>If f(a) = a2, what is the value of (f(a + b) \u2013 f(a))\/b?<br \/><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=\"question62-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question62\" id=\"question62_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question62_1\">\n\t\t\t\t\t(A) a\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=\"question62-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question62\" id=\"question62_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question62_2\">\n\t\t\t\t\t(B) b\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=\"question62-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question62\" id=\"question62_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question62_3\">\n\t\t\t\t\t(C) 2a\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=\"question62-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question62\" id=\"question62_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question62_4\">\n\t\t\t\t\t(D) 2a + b\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=\"question62-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question62\" id=\"question62_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question62_5\">\n\t\t\t\t\t(E) 2b - a\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=\"question62_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question62\" id=\"question62_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_62\" 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-63 slide4 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 4: <\/strong><br \/><br \/>A rectangular solid has dimensions of 3 x 5 x 7. What is the length of the longest segment whose endpoints are vertices of the solid?<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=\"question63-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question63\" id=\"question63_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question63_1\">\n\t\t\t\t\t(A) 8.9\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=\"question63-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question63\" id=\"question63_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question63_2\">\n\t\t\t\t\t(B) 9.1\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=\"question63-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question63\" id=\"question63_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question63_3\">\n\t\t\t\t\t(C) 9.5\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=\"question63-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question63\" id=\"question63_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question63_4\">\n\t\t\t\t\t(D) 9.8\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=\"question63-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question63\" id=\"question63_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question63_5\">\n\t\t\t\t\t(E) 10.1\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=\"question63_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question63\" id=\"question63_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_63\" 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-69 slide5 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 5: <\/strong><br \/><br \/>Eight senators and six representatives have volunteered to work on a Congressional committee that will consist of two members from each body. How many unique committees can be created?<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=\"question69-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question69\" id=\"question69_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question69_1\">\n\t\t\t\t\t(A) 43\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=\"question69-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question69\" id=\"question69_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question69_2\">\n\t\t\t\t\t(B) 110\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=\"question69-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question69\" id=\"question69_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question69_3\">\n\t\t\t\t\t(C) 280\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=\"question69-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question69\" id=\"question69_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question69_4\">\n\t\t\t\t\t(D) 360\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=\"question69-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question69\" id=\"question69_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question69_5\">\n\t\t\t\t\t(E) 420\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=\"question69_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question69\" id=\"question69_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_69\" 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-64 slide6 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 6: <\/strong><br \/><br \/>The volume of a cone is 1\/3\u03c0r2h and the volume of a sphere is 4\/3\u03c0r3, where r = radius and h = height. If a right circular cone whose radius is 4 is inscribed in a sphere with a radius of 5, what fraction of the sphere\u2019s volume is the cone\u2019s volume, approximately?<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=\"question64-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question64\" id=\"question64_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question64_1\">\n\t\t\t\t\t(A) 1\/4\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=\"question64-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question64\" id=\"question64_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question64_2\">\n\t\t\t\t\t(B) 1\/3\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=\"question64-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question64\" id=\"question64_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question64_3\">\n\t\t\t\t\t(C) 5\/8\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=\"question64-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question64\" id=\"question64_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question64_4\">\n\t\t\t\t\t(D) 2\/3\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=\"question64-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question64\" id=\"question64_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question64_5\">\n\t\t\t\t\t(E) 3\/4\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=\"question64_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question64\" id=\"question64_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_64\" 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-7\" data-apid=\"7\" data-qpid=\"7\" 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-72 slide7 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 7: <\/strong><br \/><br \/>The circumference of a right circular cylinder is half its height. The radius of the cylinder is x. What is the volume of the cylinder in terms of x?<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=\"question72-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question72\" id=\"question72_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question72_1\">\n\t\t\t\t\t(A) 2\u03c0x3\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=\"question72-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question72\" id=\"question72_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question72_2\">\n\t\t\t\t\t(B) 3\u03c0x3\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=\"question72-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question72\" id=\"question72_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question72_3\">\n\t\t\t\t\t(C) 3\u03c02x2\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=\"question72-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question72\" id=\"question72_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question72_4\">\n\t\t\t\t\t(D) 4\u03c02x2\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=\"question72-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question72\" id=\"question72_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question72_5\">\n\t\t\t\t\t(E) 4\u03c02x3\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=\"question72_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question72\" id=\"question72_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_72\" 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-8\" data-apid=\"8\" data-qpid=\"8\" 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-75 slide8 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 8: <\/strong><br \/><br \/><img decoding=\"async\" class=\"alignnone size-full wp-image-6863\" src=\"http:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_22.png\" alt=\"\" width=\"222\" height=\"211\" srcset=\"https:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_22.png 222w, https:\/\/www.reachivy.com\/blog\/wp-content\/uploads\/2016\/02\/gmatDataSuff_22-768x729.png 768w\" sizes=\"(max-width: 222px) 100vw, 222px\" \/><br \/>If AP = BP, and arc AP = 140, what is the measure of angle BPC?<\/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=\"question75-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question75\" id=\"question75_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question75_1\">\n\t\t\t\t\t(A) 10\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=\"question75-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question75\" id=\"question75_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question75_2\">\n\t\t\t\t\t(B) 20\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=\"question75-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question75\" id=\"question75_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question75_3\">\n\t\t\t\t\t(C) 30\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=\"question75-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question75\" id=\"question75_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question75_4\">\n\t\t\t\t\t(D) 40\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=\"question75-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question75\" id=\"question75_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question75_5\">\n\t\t\t\t\t(E) 50\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=\"question75_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question75\" id=\"question75_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_75\" 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-9\" data-apid=\"9\" data-qpid=\"9\" 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-77 slide9 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 9: <\/strong><br \/><br \/><br \/> If ABC is an equilateral triangle, B is equidistant from all points on the sector outside triangle ABC, and AC = 12, what is the area of the shaded region?<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=\"question77-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question77\" id=\"question77_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question77_1\">\n\t\t\t\t\t(A) 18\u03c0 + 36\u221a3\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=\"question77-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question77\" id=\"question77_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question77_2\">\n\t\t\t\t\t(B) 22\u03c0 + 36\u221a2\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=\"question77-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question77\" id=\"question77_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question77_3\">\n\t\t\t\t\t(C) 26\u03c0 + 38\u221a3\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=\"question77-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question77\" id=\"question77_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question77_4\">\n\t\t\t\t\t(D) 32\u03c0 + 38\u221a3\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=\"question77-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question77\" id=\"question77_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question77_5\">\n\t\t\t\t\t(E) 38\u03c0 + 38\u221a3\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=\"question77_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question77\" id=\"question77_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_77\" 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-10\" data-apid=\"10\" data-qpid=\"10\" 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-78 slide10 \">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>Question 10: <\/strong><br \/><br \/><br \/> In an aquarium tank, the ratio of the number of clownfish to zebrafish is 7 to 56. If 6 more zebrafish were added to the tank, the new ratio would be 7 to 58. How many total clownfish and zebrafish will be in the tank after the zebrafish are added?<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=\"question78-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question78\" id=\"question78_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question78_1\">\n\t\t\t\t\t(A) 21\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=\"question78-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question78\" id=\"question78_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question78_2\">\n\t\t\t\t\t(B) 76\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=\"question78-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question78\" id=\"question78_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question78_3\">\n\t\t\t\t\t(C) 168\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=\"question78-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question78\" id=\"question78_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question78_4\">\n\t\t\t\t\t(D) 189\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=\"question78-5 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question78\" id=\"question78_5\" value=\"4\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question78_5\">\n\t\t\t\t\t(E) 195\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=\"question78_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question78\" id=\"question78_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_78\" 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=\"58Q60Q62Q63Q69Q64Q72Q75Q77Q78Q\" \/>\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=\"10\" \/>\n\t\t\t\t\t<input type=\"hidden\" name=\"total_questions\" id=\"total_questions\" value=\"10\" \/>\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=\"5\" \/>\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>GMAT problem solving section may seem simple as they use 8th grade math concepts. But often students are stumped by the complexity of the questions. Also, the challenge of managing time adds its own difficulties. Here is a quick problem solving test that simulates the GMAT. Take the test now!<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":6842,"menu_order":3,"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-6947","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages\/6947","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=6947"}],"version-history":[{"count":1,"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages\/6947\/revisions"}],"predecessor-version":[{"id":6948,"href":"https:\/\/www.reachivy.com\/blog\/wp-json\/wp\/v2\/pages\/6947\/revisions\/6948"}],"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=6947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}