{"id":24161,"date":"2017-02-03T17:08:23","date_gmt":"2017-02-03T16:08:23","guid":{"rendered":"https:\/\/gdi.net\/gdi-challenge-questions\/"},"modified":"2018-03-26T11:30:25","modified_gmt":"2018-03-26T09:30:25","slug":"gdi-challenge-questions","status":"publish","type":"page","link":"https:\/\/gdi.net\/hr\/gdi-challenge-questions\/","title":{"rendered":"GDi Challenge questions"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-parallax-none hundred-percent-fullwidth non-hundred-percent-height-scrolling fusion-equal-height-columns\" style=\"--awb-background-position:center bottom;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0px;--awb-padding-right:0px;--awb-padding-bottom:0px;--awb-padding-left:0px;--awb-margin-top:0px;--awb-margin-bottom:0px;--awb-background-color:rgba(0,0,0,0);--awb-background-image:url(&quot;https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/challenge_header_bg.jpg&quot;);--awb-background-size:cover;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-first\" style=\"--awb-padding-top:15%;--awb-padding-right:40px;--awb-padding-bottom:15%;--awb-padding-left:40px;--awb-bg-color:rgba(0,0,0,0.5);--awb-bg-color-hover:rgba(0,0,0,0.5);--awb-bg-size:cover;--awb-margin-bottom:0px;width:33.333333333333%;width:calc(33.333333333333% - ( ( 4% + 4% ) * 0.33333333333333 ) );margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-1\"><h1 style=\"text-align: left;\"><span style=\"color: #ffffff;\"><strong>Interested in joining<br \/>\n<\/strong><strong>the GDi team ?<\/strong>\u00a0<\/span><\/h1>\n<h5 style=\"text-align: left;\"><span style=\"color: #ffffff;\">then find solutions to the problems below<\/span><\/h5>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"margin-left: auto;margin-right: auto;margin-top:5%;margin-bottom:5%;width:100%;\"><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_3 1_3 fusion-one-third\" style=\"--awb-bg-color:rgba(0,0,0,0);--awb-bg-color-hover:rgba(0,0,0,0);--awb-bg-size:cover;--awb-margin-bottom:0px;width:33.333333333333%;width:calc(33.333333333333% - ( ( 4% + 4% ) * 0.33333333333333 ) );margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_3 1_3 fusion-one-third fusion-column-last\" style=\"--awb-padding-top:15%;--awb-padding-right:40px;--awb-padding-bottom:15%;--awb-padding-left:40px;--awb-bg-color:rgba(0,0,0,0);--awb-bg-color-hover:rgba(0,0,0,0);--awb-bg-size:cover;--awb-margin-bottom:0px;width:33.333333333333%;width:calc(33.333333333333% - ( ( 4% + 4% ) * 0.33333333333333 ) );\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling fusion-no-small-visibility\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-top:20px;--awb-margin-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"--awb-bg-color:rgba(255,255,255,0.57);--awb-bg-color-hover:rgba(255,255,255,0.57);--awb-bg-size:cover;--awb-margin-bottom:0px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-2\"><style type=\"text\/css\">\r\n\t\t\t\t\r\n\t\t\t\t\t\t.breadcrumb-container {\r\n\t\t\t\t\t\t  font-size: 16px  !important;\r\n\t\t\t\t\t\t}\r\n\t\t\t\t\r\n\t\t\t\t\t\t.breadcrumb-container li a{\r\n\t\t\t\t\t\t  color: #747474  !important;\r\n\t\t\t\t\t\t  font-size: 16px  !important;\r\n\t\t\t\t\t\t  line-height: 16px  !important;\r\n\t\t\t\t\t\t}\r\n\t\t\t\t\t\t\r\n\t\t\t\t\t\t.breadcrumb-container li .separator {\r\n\t\t\t\t\t\t  color: #747474  !important;\r\n\t\t\t\t\t\t  font-size: 16px  !important;\r\n\t\t\t\t\t\t}\t\t\t\t\t\t\r\n\t\t\t\t\t\t\r\n\t\t\t\t\t\t\r\n\t\t\t\t\r\n\t\t\t\t\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\r\n.breadcrumb-container.theme1 li {\r\n\tmargin: 0;\r\n\tpadding: 0;\r\n}\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\r\n.breadcrumb-container.theme1 a {\r\n\tbackground: #ffffff;\r\n\tdisplay: inline-block;\r\n\tmargin: 0 5px;\r\n\tpadding: 5px 10px;\r\n\ttext-decoration: none;\r\n}\r\n\r\n<\/style>\r\n\t\t\t\t<div class=\"breadcrumb-container theme1\" itemprop=\"breadcrumb\" itemscope itemtype=\"http:\/\/schema.org\/BreadcrumbList\"><ul itemtype=\"http:\/\/schema.org\/BreadcrumbList\" itemscope=\"\"><\/ul><\/div>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-3 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:center bottom;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-top:0px;--awb-margin-bottom:0px;--awb-background-color:rgba(0,0,0,0);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-first\" style=\"--awb-padding-top:10px;--awb-bg-color:rgba(255,255,255,0);--awb-bg-color-hover:rgba(255,255,255,0);--awb-bg-size:cover;width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-3\"><h5 style=\"text-align: left;\">We are always interested in meeting talented people who are looking for a rewarding and exciting career in software development.<\/h5>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-5 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-last\" style=\"--awb-bg-color:rgba(255,255,255,0);--awb-bg-color-hover:rgba(255,255,255,0);--awb-bg-size:cover;width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-4\"><h5 style=\"text-align: center;\"><strong><b>Study the questions below and submit your answers using the form.<\/b><\/strong><\/h5>\n<p style=\"text-align: center;\">Get questions in PDF format<\/p>\n<p><a href=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/05\/challenge_questions_2017.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-16993\" src=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/pdf_small.png\" alt=\"questions in PDF\" width=\"31\" height=\"31\" \/><\/a><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-4 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:20px;--awb-padding-bottom:20px;--awb-background-color:#daf5ff;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-6 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"--awb-padding-top:20px;--awb-padding-right:20px;--awb-padding-bottom:20px;--awb-padding-left:20px;--awb-bg-color:#ffffff;--awb-bg-color-hover:#ffffff;--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-5\"><script type=\"text\/javascript\">\n\/* <![CDATA[ *\/\nvar gform;gform||(document.addEventListener(\"gform_main_scripts_loaded\",function(){gform.scriptsLoaded=!0}),document.addEventListener(\"gform\/theme\/scripts_loaded\",function(){gform.themeScriptsLoaded=!0}),window.addEventListener(\"DOMContentLoaded\",function(){gform.domLoaded=!0}),gform={domLoaded:!1,scriptsLoaded:!1,themeScriptsLoaded:!1,isFormEditor:()=>\"function\"==typeof InitializeEditor,callIfLoaded:function(o){return!(!gform.domLoaded||!gform.scriptsLoaded||!gform.themeScriptsLoaded&&!gform.isFormEditor()||(gform.isFormEditor()&&console.warn(\"The use of gform.initializeOnLoaded() is deprecated in the form editor context and will be 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class='gfield_description' id='gfield_description_27_63'>This field is for validation purposes and should be left unchanged.<\/div><\/li><li id=\"field_27_22\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><h5><strong>Please enter your details<\/strong><\/h5><\/li><li id=\"field_27_1\" class=\"gfield gfield--type-name gfield_contains_required field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label gfield_label_before_complex' >Name<span class=\"gfield_required\"><span class=\"gfield_required gfield_required_asterisk\">*<\/span><\/span><\/label><div class='ginput_complex ginput_container ginput_container--name no_prefix has_first_name no_middle_name has_last_name no_suffix gf_name_has_2 ginput_container_name gform-grid-row' id='input_27_1'>\n                            \n                            <span id='input_27_1_3_container' class='name_first gform-grid-col gform-grid-col--size-auto' >\n                                                    <input type='text' name='input_1.3' id='input_27_1_3' value=''   aria-required='true'     \/>\n                                                    <label for='input_27_1_3' class='gform-field-label gform-field-label--type-sub '>First<\/label>\n                                                <\/span>\n                            \n                            <span id='input_27_1_6_container' class='name_last gform-grid-col gform-grid-col--size-auto' >\n                                                    <input type='text' name='input_1.6' id='input_27_1_6' value=''   aria-required='true'     \/>\n                                                    <label for='input_27_1_6' class='gform-field-label gform-field-label--type-sub '>Last<\/label>\n                                                <\/span>\n                            \n                        <\/div><\/li><li id=\"field_27_5\" class=\"gfield gfield--type-email gfield_contains_required field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_5'>E-mail<span class=\"gfield_required\"><span class=\"gfield_required gfield_required_asterisk\">*<\/span><\/span><\/label><div class='ginput_container ginput_container_email'>\n                            <input name='input_5' id='input_27_5' type='email' value='' class='medium'    aria-required=\"true\" aria-invalid=\"false\"  \/>\n                        <\/div><\/li><li id=\"field_27_45\" class=\"gfield gfield--type-select gfield_contains_required field_sublabel_below gfield--has-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_45'>Current position<span class=\"gfield_required\"><span class=\"gfield_required gfield_required_asterisk\">*<\/span><\/span><\/label><div class='ginput_container ginput_container_select'><select name='input_45' id='input_27_45' class='medium gfield_select'  aria-describedby=\"gfield_description_27_45\"  aria-required=\"true\" aria-invalid=\"false\" ><option value='student' >student<\/option><option value='employed' >employed<\/option><option value='other' >other<\/option><\/select><\/div><div class='gfield_description' id='gfield_description_27_45'>What is your current position \/ status?<\/div><\/li><li id=\"field_27_24\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br>\n<h5><strong>Please answer the questions below. <\/strong<\/h5><\/li><li id=\"field_27_23\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><h5><strong>Question 1<\/strong><\/h5>\nWith the aim of promoting tourism, the county has chosen 32 interesting tourist routes. The first one is 1km long, the second is 2km long\u2026 and the 32nd is 32km long. The county wants its two electric vehicles to travel along all these interesting tourist routes. Each of the routes needs to be covered just once by either one of the two vehicles.<br><br>\n\nCalculate the number of possible ways that this can be achieved if we want both vehicles to travel an equal amount of total kilometers on these roads?<br><br>\n\nExample: if the county has only 7 tourist routes (with lengths of 1km, 2km\u2026 to 7km), vehicles A and B would be able to travel along them in 4 different ways if the vehicles travel the same total number of kilometers: A(1, 6, 7) B(2, 3, 4, 5); A(2, 5, 7) B(1, 3, 4, 6); A(3, 4, 7) B(1, 2, 5, 6); A(1, 2, 4, 7) B(3, 5, 6)<\/li><li id=\"field_27_50\" class=\"gfield gfield--type-number field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_50'>Answer 1 - number of solutions<\/label><div class='ginput_container ginput_container_number'><input name='input_50' id='input_27_50' type='number' step='any' min='0'  value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_instruction_27_50\" \/><div class='gfield_description instruction ' id='gfield_instruction_27_50'>Please enter a number greater than or equal to <strong>0<\/strong>.<\/div><\/div><\/li><li id=\"field_27_25\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><br>\n<h5><strong>Question 2<\/strong><\/h5>\nIn a square of size 4 x 4, odd numbers from 1 to 31 have to be entered. <br><br>In how many ways is it possible to achieve this if the sums of all the rows and columns of the square are to be equal? <br>(combinations that can be obtained by rotation or mirroring also count as different ways)<\/li><li id=\"field_27_51\" class=\"gfield gfield--type-number field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_51'>Answer 2 - number of solutions<\/label><div class='ginput_container ginput_container_number'><input name='input_51' id='input_27_51' type='number' step='any' min='0'  value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_instruction_27_51\" \/><div class='gfield_description instruction ' id='gfield_instruction_27_51'>Please enter a number greater than or equal to <strong>0<\/strong>.<\/div><\/div><\/li><li id=\"field_27_26\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><br>\n<h5><strong>Question 3<\/strong><\/h5>\nA wheel, with radius of 25cm, is on a horizontal surface. The point where the wheel is touching the surface is T. The wheel rotates without slipping a full turn, so point T is now touching the surface again. What is the length of the path that point T has travelled?<br><br>\n<img decoding=\"async\" class=\"size-full wp-image-24363 alignleft\" src=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/05\/q3_img.gif\" alt=\"Challenge q3\" width=\"446\" height=\"171\" \/><\/li><li id=\"field_27_52\" class=\"gfield gfield--type-number field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_52'>Answer 3 - length of path in cm<\/label><div class='ginput_container ginput_container_number'><input name='input_52' id='input_27_52' type='number' step='any' min='0'  value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_instruction_27_52\" \/><div class='gfield_description instruction ' id='gfield_instruction_27_52'>Please enter a number greater than or equal to <strong>0<\/strong>.<\/div><\/div><\/li><li id=\"field_27_27\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><br>\n<h5><strong>Question 4<\/strong><\/h5>\nA container has the shape of a regular vertical hexagonal prism. The base is a regular hexagon with side a = 5.58 cm and the container height h = 7.54 cm.<br><br>Calculate the number of balls the container will hold if the ball diameter d = 1 cm.<br><br>\n<img decoding=\"async\" class=\"size-full wp-image-20211 alignleft\" src=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/container.png\" alt=\"container\" width=\"240\" height=\"240\" srcset=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/container-66x66.png 66w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/container-150x150.png 150w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/container-200x200.png 200w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/container.png 240w\" sizes=\"(max-width: 240px) 100vw, 240px\" \/><\/li><li id=\"field_27_44\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><\/li><li id=\"field_27_53\" class=\"gfield gfield--type-number field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_53'>Answer 4 - number of balls<\/label><div class='ginput_container ginput_container_number'><input name='input_53' id='input_27_53' type='number' step='any' min='0'  value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_instruction_27_53\" \/><div class='gfield_description instruction ' id='gfield_instruction_27_53'>Please enter a number greater than or equal to <strong>0<\/strong>.<\/div><\/div><\/li><li id=\"field_27_28\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><br>\n<h5><strong>Question 5<\/strong><\/h5>\nOn a square are drawn additional lines that link adjacent sides (as shown in the diagram).<br><br>Determine the surface area of the 'empty area' inside the square if the square has dimensions 32 x 32. <br><br>A much more difficult task is to calculate the ratio of the surface area of the 'empty area' to the surface area of the square when n is infinite.<br><br>\nExample: For a square of size 6 x 6 are, the surface area of the central 'empty area' inside the square is 16.<br><br>\n<img decoding=\"async\" class=\"size-full wp-image-20207 alignleft\" src=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/square.png\" alt=\"grid square\" width=\"501\" height=\"510\" srcset=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/square-66x66.png 66w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/square-200x204.png 200w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/square-295x300.png 295w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/square-400x407.png 400w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/square-500x509.png 500w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/02\/square.png 501w\" sizes=\"(max-width: 501px) 100vw, 501px\" \/><\/li><li id=\"field_27_43\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><\/li><li id=\"field_27_56\" class=\"gfield gfield--type-number field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_56'>Answer 5 - surface area of empty area<\/label><div class='ginput_container ginput_container_number'><input name='input_56' id='input_27_56' type='number' step='any' min='0'  value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_instruction_27_56\" \/><div class='gfield_description instruction ' id='gfield_instruction_27_56'>Please enter a number greater than or equal to <strong>0<\/strong>.<\/div><\/div><\/li><li id=\"field_27_55\" class=\"gfield gfield--type-number field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_55'>Answer 5 - ratio of surface area of empty area to surface area of square (n x n and n is infinite)<\/label><div class='ginput_container ginput_container_number'><input name='input_55' id='input_27_55' type='number' step='any' min='0'  value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_instruction_27_55\" \/><div class='gfield_description instruction ' id='gfield_instruction_27_55'>Please enter a number greater than or equal to <strong>0<\/strong>.<\/div><\/div><\/li><li id=\"field_27_29\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><br>\n<h5><strong>Question 6<\/strong><\/h5>\nWhat is the angle (in degrees) of adjacent surfaces of a soccer ball, a body consisting of regular hexagons and pentagons (angle of hexagon to hexagon, and angle of hexagon to pentagon)?<br><br>\n<img decoding=\"async\" class=\"size-full wp-image-24361 alignleft\" src=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/05\/q6_img.png\" alt=\"Challenge q6\" width=\"100\" height=\"100\" srcset=\"https:\/\/gdi.net\/wp-content\/uploads\/2017\/05\/q6_img-66x66.png 66w, https:\/\/gdi.net\/wp-content\/uploads\/2017\/05\/q6_img.png 100w\" sizes=\"(max-width: 100px) 100vw, 100px\" \/><\/li><li id=\"field_27_48\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><\/li><li id=\"field_27_57\" class=\"gfield gfield--type-number field_sublabel_below gfield--has-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_57'>Answer 6 - hexagon to hexagon<\/label><div class='ginput_container ginput_container_number'><input name='input_57' id='input_27_57' type='number' step='any'   value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_description_27_57\" \/><\/div><div class='gfield_description' id='gfield_description_27_57'>Enter  numeric value in degrees<\/div><\/li><li id=\"field_27_58\" class=\"gfield gfield--type-number field_sublabel_below gfield--has-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_58'>Answer 6 - hexagon to pentagon<\/label><div class='ginput_container ginput_container_number'><input name='input_58' id='input_27_58' type='number' step='any'   value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_description_27_58\" \/><\/div><div class='gfield_description' id='gfield_description_27_58'>Enter numeric value in degrees<\/div><\/li><li id=\"field_27_46\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><br>\n<h5><strong>Question 7<\/strong><\/h5>\nInside a cube, in opposite corners, there is an ant and a blind spider. The ant is standing still, and the spider is moving randomly from corner to corner, using only edges. What is the expected number of travelled edges until the spider meets the ant?<\/li><li id=\"field_27_59\" class=\"gfield gfield--type-number field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_59'>Answer 7 - edges travelled by spider<\/label><div class='ginput_container ginput_container_number'><input name='input_59' id='input_27_59' type='number' step='any' min='0'  value='' class='medium'      aria-invalid=\"false\" aria-describedby=\"gfield_instruction_27_59\" \/><div class='gfield_description instruction ' id='gfield_instruction_27_59'>Please enter a number greater than or equal to <strong>0<\/strong>.<\/div><\/div><\/li><li id=\"field_27_42\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br><br>Please check your answers and then submit the form\n<br><\/li><li id=\"field_27_62\" class=\"gfield gfield--type-captcha field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label' for='input_27_62'>CAPTCHA<\/label><div id='input_27_62' class='ginput_container ginput_recaptcha' data-sitekey='6Lc36MMUAAAAAEJD9ab4gl2YnzbpLTSuWRJ9PQ4v'  data-theme='light' data-tabindex='0'  data-badge=''><\/div><\/li><li id=\"field_27_60\" class=\"gfield gfield--type-html gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><br>\n<h5 style=\"text-align: left;\"><strong>Privacy Policy<\/strong><\/h5><\/li><li id=\"field_27_61\" class=\"gfield gfield--type-checkbox gfield--type-choice gfield_contains_required field_sublabel_below gfield--has-description field_description_below field_validation_below gfield_visibility_visible\"  ><label class='gfield_label gform-field-label gfield_label_before_complex' >Consent required<span class=\"gfield_required\"><span class=\"gfield_required gfield_required_asterisk\">*<\/span><\/span><\/label><div class='ginput_container ginput_container_checkbox'><ul class='gfield_checkbox' id='input_27_61'><li class='gchoice gchoice_27_61_1'>\n\t\t\t\t\t\t\t\t<input class='gfield-choice-input' name='input_61.1' type='checkbox'  value='I agree'  id='choice_27_61_1'   aria-describedby=\"gfield_description_27_61\"\/>\n\t\t\t\t\t\t\t\t<label for='choice_27_61_1' id='label_27_61_1' class='gform-field-label gform-field-label--type-inline'>I agree<\/label>\n\t\t\t\t\t\t\t<\/li><\/ul><\/div><div class='gfield_description' id='gfield_description_27_61'>I consent to having GDi collect my name, email and other information submitted via this form. Please check our <a href=\"https:\/\/gdi.net\/privacy-policy\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Privacy Policy<\/strong><\/a> for the full story on how we protect and manage your submitted data.<\/div><\/li><li id=\"field_27_11\" class=\"gfield gfield--type-hidden gform_hidden field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><div class='ginput_container ginput_container_text'><input name='input_11' id='input_27_11' type='hidden' class='gform_hidden'  aria-invalid=\"false\" value='GDi website generated form' \/><\/div><\/li><li id=\"field_27_12\" class=\"gfield gfield--type-hidden gform_hidden field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><div class='ginput_container ginput_container_text'><input name='input_12' id='input_27_12' type='hidden' class='gform_hidden'  aria-invalid=\"false\" value='' \/><\/div><\/li><li id=\"field_27_13\" class=\"gfield gfield--type-hidden gform_hidden field_sublabel_below gfield--no-description field_description_below field_validation_below gfield_visibility_visible\"  ><div class='ginput_container ginput_container_text'><input name='input_13' id='input_27_13' type='hidden' class='gform_hidden'  aria-invalid=\"false\" value='GDi Challenge 2017' \/><\/div><\/li><\/ul><\/div>\n        <div class='gform-footer gform_footer top_label'> <input type='submit' id='gform_submit_button_27' class='gform_button button' onclick='gform.submission.handleButtonClick(this);' data-submission-type='submit' value='Submit'  \/> <input type='hidden' name='gform_ajax' value='form_id=27&amp;title=&amp;description=&amp;tabindex=0&amp;theme=legacy&amp;styles=[]&amp;hash=f8a9f94bbc8197a0fc9b74cfc5252ef6' \/>\n            <input type='hidden' class='gform_hidden' name='gform_submission_method' data-js='gform_submission_method_27' value='iframe' \/>\n            <input type='hidden' class='gform_hidden' name='gform_theme' data-js='gform_theme_27' id='gform_theme_27' value='legacy' \/>\n            <input type='hidden' class='gform_hidden' name='gform_style_settings' data-js='gform_style_settings_27' id='gform_style_settings_27' value='[]' \/>\n            <input type='hidden' class='gform_hidden' name='is_submit_27' value='1' \/>\n            <input type='hidden' class='gform_hidden' name='gform_submit' value='27' \/>\n            \n            <input type='hidden' class='gform_hidden' name='gform_currency' data-currency='EUR' value='5J2ZomJBGWmlsfk2kdmsn1uPVJ\/EK48P\/95XnLFYq5whDss4c9DJPA4yuNfiOpusvY\/172DmPysG+QRLsdz+NfIKn+rME5XnDDImzXtYOSlP530=' \/>\n            <input type='hidden' class='gform_hidden' name='gform_unique_id' value='' \/>\n            <input type='hidden' class='gform_hidden' name='state_27' value='WyJbXSIsIjIxZGFjNWVhMDkzNDJiNDMxNjhhMjU4N2JiOTc2ZWEyIl0=' \/>\n            <input type='hidden' autocomplete='off' class='gform_hidden' name='gform_target_page_number_27' id='gform_target_page_number_27' value='0' \/>\n            <input type='hidden' autocomplete='off' class='gform_hidden' name='gform_source_page_number_27' id='gform_source_page_number_27' value='1' \/>\n            <input type='hidden' name='gform_field_values' value='' \/>\n            \n        <\/div>\n                        <\/form>\n                        <\/div>\n\t\t                <iframe style='display:none;width:0px;height:0px;' src='about:blank' name='gform_ajax_frame_27' id='gform_ajax_frame_27' title='This iframe contains the logic required to handle Ajax powered Gravity Forms.'><\/iframe>\n\t\t                <script type=\"text\/javascript\">\n\/* <![CDATA[ *\/\n gform.initializeOnLoaded( function() {gformInitSpinner( 27, 'https:\/\/gdi.net\/wp-content\/plugins\/gravityforms\/images\/spinner.svg', true );jQuery('#gform_ajax_frame_27').on('load',function(){var contents = jQuery(this).contents().find('*').html();var is_postback = contents.indexOf('GF_AJAX_POSTBACK') >= 0;if(!is_postback){return;}var form_content = jQuery(this).contents().find('#gform_wrapper_27');var is_confirmation = jQuery(this).contents().find('#gform_confirmation_wrapper_27').length > 0;var is_redirect = contents.indexOf('gformRedirect(){') >= 0;var is_form = form_content.length > 0 && ! is_redirect && ! is_confirmation;var mt = parseInt(jQuery('html').css('margin-top'), 10) + parseInt(jQuery('body').css('margin-top'), 10) + 100;if(is_form){form_content.find('form').css('opacity', 0);jQuery('#gform_wrapper_27').html(form_content.html());if(form_content.hasClass('gform_validation_error')){jQuery('#gform_wrapper_27').addClass('gform_validation_error');} else {jQuery('#gform_wrapper_27').removeClass('gform_validation_error');}setTimeout( function() { \/* delay the scroll by 50 milliseconds to fix a bug in chrome *\/ jQuery(document).scrollTop(jQuery('#gform_wrapper_27').offset().top - 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