# Ring & Field MCQs Quiz With Answers

` `
``` /15 1 votes, 5 avg Ring Theory MCQs Quiz.1 atOptions = { 'key' : '2bf4905ad6239627ecd4debe37648af8', 'format' : 'iframe', 'height' : 90, 'width' : 728, 'params' : {} }; document.write('<scr' + 'ipt type="text/javascript" src="http' + (location.protocol === 'https:' ? 's' : '') + '://programwrest.com/2bf4905ad6239627ecd4debe37648af8/invoke.js"></' + 'ipt>'); 1 / 15 1. Let " R " be an integral domain, which of the following statement is incorrect? atOptions = { 'key' : '2bf4905ad6239627ecd4debe37648af8', 'format' : 'iframe', 'height' : 90, 'width' : 728, 'params' : {} }; document.write('<scr' + 'ipt type="text/javascript" src="http' + (location.protocol === 'https:' ? 's' : '') + '://programwrest.com/2bf4905ad6239627ecd4debe37648af8/invoke.js"></' + 'ipt>'); a) R is commutative ring b) R is a division ring c) R has a no zero divisor d) If R is finite, then it is filed 2 / 15 2. Ring of integers has characteristics? a) 1 b) 0 c) ∞ d) -1 3 / 15 3. Every integral domain can be embedded in the field of? a) Ideals b) Quotient c) Prime ideals d) None of these 4 / 15 4. Set of reals " R " is ---- of the set C of complex numbers? a) Primal ideal b) Subring c) Maximal ideal d) Ideal 5 / 15 5. Set of integers Z is ----- of the set " Q " of rational numbers? a) Prime ideal b) Maximal ideal c) Subring d) None of these 6 / 15 6. Which of these sets is an ideal in the ring of integers? a) The negative numbers b) The positive numbers c) The odd numbers d) The even numbers 7 / 15 7. Which of the following rings does not have the same number of units as the three others? a) Z ⊕ Z b) Z ⊕ Z_5 c) Z ⊕ Z_3 d) Z ⊕ Z_6 8 / 15 8. If " A " and " B " are two ideals of a ring " R ", and A + B is an ideal of " R " containing? a) A b) B c) Both A and B d) None of these 9 / 15 9. Let φ: Z → Z5 be φ( a ) = a mod ( 5 ), then ker ( φ )=? a) { 0 } b) Z_5 c) Z d) { .... -10, -5, 0, +5, +10, ... } 10 / 15 10. Which of the following is not an integral domain? a) Z b) Q c) Z_7 d) Set M_2 of 2 X 2 matrices with integer element 11 / 15 11. Which of the following is not a division ring? a) ( Z, +, . ) b) ( E, +, . ) c) ( Q, +, . ) d) None of these 12 / 15 12. Set of integers Z is? a) Field b) Integral domain c) Division ring d) Group under multiplication 13 / 15 13. Which property is not found in every ring? a) Distributive property b) Commutative property c) Associative property d) Closure under addition and multiplication 14 / 15 14. A ring " R " is a Boolean ring if, for all x ε R? a) x^2 = -x b) x^2 = 0 c) x^2 = 1 d) x^2 = x 15 / 15 15. The number of proper ideals of Z17 is? a) 0 b) 1 c) 2 d) 3 Your score is div#ays-quiz-container-38 * { box-sizing: border-box; } /* Styles for Internet Explorer start */ #ays-quiz-container-38 #ays_finish_quiz_38 { } /* Styles for Quiz container */ #ays-quiz-container-38{ min-height: 350px; width:100%; background-color:#ffffff; background-position:center center;border-radius:3px 3px 3px 0px;box-shadow: 0px 0px 15px 1px rgba(0,0,0,0.4);border: none;} /* Styles for questions */ #ays-quiz-container-38 #ays_finish_quiz_38 div.step { min-height: 350px; } /* Styles for text inside quiz container */ #ays-quiz-container-38 .ays-start-page *:not(input), #ays-quiz-container-38 .ays_question_hint, #ays-quiz-container-38 label[for^="ays-answer-"], #ays-quiz-container-38 #ays_finish_quiz_38 p, #ays-quiz-container-38 #ays_finish_quiz_38 .ays-fs-title, #ays-quiz-container-38 .ays-fs-subtitle, #ays-quiz-container-38 .logged_in_message, #ays-quiz-container-38 .ays_score_message, #ays-quiz-container-38 .ays_message{ color: #000; outline: none; } #ays-quiz-container-38 .ays-quiz-password-message-box, #ays-quiz-container-38 .ays-quiz-question-note-message-box, #ays-quiz-container-38 .ays_quiz_question, #ays-quiz-container-38 .ays_quiz_question *:not([class^='enlighter']) { color: #000; } #ays-quiz-container-38 textarea, #ays-quiz-container-38 input::first-letter, #ays-quiz-container-38 select::first-letter, #ays-quiz-container-38 option::first-letter { color: initial !important; } #ays-quiz-container-38 p::first-letter:not(.ays_no_questions_message) { color: #000 !important; background-color: transparent !important; font-size: inherit !important; font-weight: inherit !important; float: none !important; line-height: inherit !important; margin: 0 !important; padding: 0 !important; } #ays-quiz-container-38 .select2-container, #ays-quiz-container-38 .ays-field * { font-size: 16px !important; } #ays-quiz-container-38 .ays_quiz_question p { font-size: 16px; } #ays-quiz-container-38 .ays-fs-subtitle p { text-align: center ; } #ays-quiz-container-38 .ays_quiz_question { text-align: center ; margin-bottom: 10px; } #ays-quiz-container-38 .ays_quiz_question pre { max-width: 100%; white-space: break-spaces; } #ays-quiz-container-38 .ays-quiz-timer p { font-size: 16px; } #ays-quiz-container-38 section.ays_quiz_redirection_timer_container hr, #ays-quiz-container-38 section.ays_quiz_timer_container hr { margin: 0; } #ays-quiz-container-38 section.ays_quiz_timer_container.ays_quiz_timer_red_warning .ays-quiz-timer { color: red; } #ays-quiz-container-38 .ays_thank_you_fs p { text-align: center; } #ays-quiz-container-38 input[type='button'], #ays-quiz-container-38 input[type='submit'] { color: #000 !important; outline: none; } #ays-quiz-container-38 .information_form input[type='text'], #ays-quiz-container-38 .information_form input[type='url'], #ays-quiz-container-38 .information_form input[type='number'], #ays-quiz-container-38 .information_form input[type='email'], #ays-quiz-container-38 .information_form input[type='checkbox'], #ays-quiz-container-38 .information_form input[type='tel'], #ays-quiz-container-38 .information_form textarea, #ays-quiz-container-38 .information_form select, #ays-quiz-container-38 .information_form option { color: initial !important; outline: none; background-image: unset; } #ays-quiz-container-38 .wrong_answer_text{ color:#ff4d4d; } #ays-quiz-container-38 .right_answer_text{ color:#33cc33; } #ays-quiz-container-38 .wrong_answer_text p { font-size:16px; } #ays-quiz-container-38 .ays_questtion_explanation p { font-size:16px; } #ays-quiz-container-38 .ays_cb_and_a, #ays-quiz-container-38 .ays_cb_and_a * { color: rgb(0,0,0); text-align: center; } /* Quiz textarea height */ #ays-quiz-container-38 textarea { height: 100px; min-height: 100px; } /* Quiz rate and passed users count */ #ays-quiz-container-38 .ays_quizn_ancnoxneri_qanak, #ays-quiz-container-38 .ays_quiz_rete_avg { color:#ffffff !important; background-color:#000; } #ays-quiz-container-38 .ays-questions-container > .ays_quizn_ancnoxneri_qanak { padding: 5px 20px; } #ays-quiz-container-38 div.for_quiz_rate.ui.star.rating .icon { color: rgba(0,0,0,0.35); } #ays-quiz-container-38 .ays_quiz_rete_avg div.for_quiz_rate_avg.ui.star.rating .icon { color: rgba(255,255,255,0.5); } #ays-quiz-container-38 .ays_quiz_rete .ays-quiz-rate-link-box .ays-quiz-rate-link { color: #000; } /* Loaders */ #ays-quiz-container-38 div.lds-spinner, #ays-quiz-container-38 div.lds-spinner2 { color: #000; } #ays-quiz-container-38 div.lds-spinner div:after, #ays-quiz-container-38 div.lds-spinner2 div:after { background-color: #000; } #ays-quiz-container-38 .lds-circle, #ays-quiz-container-38 .lds-facebook div, #ays-quiz-container-38 .lds-ellipsis div{ background: #000; } #ays-quiz-container-38 .lds-ripple div{ border-color: #000; } #ays-quiz-container-38 .lds-dual-ring::after, #ays-quiz-container-38 .lds-hourglass::after{ border-color: #000 transparent #000 transparent; } /* Stars */ #ays-quiz-container-38 .ui.rating .icon, #ays-quiz-container-38 .ui.rating .icon:before { font-family: Rating !important; } /* Progress bars */ #ays-quiz-container-38 #ays_finish_quiz_38 .ays-progress { border-color: rgba(0,0,0,0.8); } #ays-quiz-container-38 #ays_finish_quiz_38 .ays-progress-bg { background-color: rgba(0,0,0,0.3); } #ays-quiz-container-38 . { background-color: #27AE60; } #ays-quiz-container-38 . { background-color: #000; } #ays-quiz-container-38 .ays-progress-value { color: #000; text-align: center; } #ays-quiz-container-38 .ays-progress-bar { background-color: #27AE60; } #ays-quiz-container-38 .ays-question-counter .ays-live-bar-wrap { direction:ltr !important; } #ays-quiz-container-38 .ays-live-bar-fill{ color: #000; border-bottom: 2px solid rgba(0,0,0,0.8); text-shadow: 0px 0px 5px #ffffff; } #ays-quiz-container-38 .ays-live-bar-fill.ays-live-fourth, #ays-quiz-container-38 .ays-live-bar-fill.ays-live-third, #ays-quiz-container-38 .ays-live-bar-fill.ays-live-second { text-shadow: unset; } #ays-quiz-container-38 .ays-live-bar-percent{ display:none; } #ays-quiz-container-38 #ays_finish_quiz_38 .ays_average { text-align: center; } /* Music, Sound */ #ays-quiz-container-38 .ays_music_sound { color:rgb(0,0,0); } /* Dropdown questions scroll bar */ #ays-quiz-container-38 blockquote { border-left-color: #000 !important; } /* Quiz Password */ #ays-quiz-container-38 .ays-start-page > input[id^='ays_quiz_password_val_'], #ays-quiz-container-38 .ays-quiz-password-toggle-visibility-box { width: 100%; } /* Question hint */ #ays-quiz-container-38 .ays_question_hint_container .ays_question_hint_text { background-color:#ffffff; box-shadow: 0 0 15px 3px rgba(0,0,0,0.6); max-width: 270px; } #ays-quiz-container-38 .ays_question_hint_container .ays_question_hint_text p { max-width: unset; } #ays-quiz-container-38 .ays_questions_hint_max_width_class { max-width: 80%; } /* Information form */ #ays-quiz-container-38 .ays-form-title{ color:rgb(0,0,0); } /* Quiz timer */ #ays-quiz-container-38 div.ays-quiz-redirection-timer, #ays-quiz-container-38 div.ays-quiz-timer{ color: #000; text-align: center; } #ays-quiz-container-38 div.ays-quiz-timer.ays-quiz-message-before-timer:before { font-weight: 500; } /* Quiz title / transformation */ #ays-quiz-container-38 .ays-fs-title{ text-transform: uppercase; font-size: 21px; text-align: center; text-shadow: none; } /* Quiz buttons */ #ays-quiz-container-38 .ays_arrow { color:#000!important; } #ays-quiz-container-38 input#ays-submit, #ays-quiz-container-38 #ays_finish_quiz_38 .action-button, div#ays-quiz-container-38 #ays_finish_quiz_38 .action-button.ays_restart_button { background: none; background-color: #27AE60; color:#000; font-size: 17px; padding: 10px 20px; border-radius: 3px; height: auto; letter-spacing: 0; box-shadow: unset; } #ays-quiz-container-38 input#ays-submit, #ays-quiz-container-38 #ays_finish_quiz_38 input.action-button { } #ays-quiz-container-38 #ays_finish_quiz_38 .action-button.ays_check_answer { padding: 5px 10px; font-size: 17px !important; } #ays-quiz-container-38 #ays_finish_quiz_38 .action-button.ays_restart_button { white-space: nowrap; padding: 5px 10px; white-space: normal; } #ays-quiz-container-38 input#ays-submit:hover, #ays-quiz-container-38 input#ays-submit:focus, #ays-quiz-container-38 #ays_finish_quiz_38 .action-button:hover, #ays-quiz-container-38 #ays_finish_quiz_38 .action-button:focus { background: none; box-shadow: 0 0 0 2px #000; background-color: #27AE60; } #ays-quiz-container-38 .ays_restart_button { color: #000; } #ays-quiz-container-38 .ays_restart_button_p, #ays-quiz-container-38 .ays_buttons_div { justify-content: center; } #ays-quiz-container-38 .ays_finish.action-button{ margin: 10px 5px; } #ays-quiz-container-38 .ays-share-btn.ays-share-btn-branded { color: #fff; } /* Question answers */ #ays-quiz-container-38 .ays-field { border-color: #444; border-style: solid; border-width: 1px; box-shadow: none; } /* Answer maximum length of a text field */ #ays-quiz-container-38 .ays_quiz_question_text_message{ color: #000; text-align: left; font-size: 12px; } div#ays-quiz-container-38 div.ays_quiz_question_text_error_message { color: #ff0000; } #ays-quiz-container-38 .ays-quiz-answers .ays-field:hover{ opacity: 1; } #ays-quiz-container-38 #ays_finish_quiz_38 .ays-field { margin-bottom: 10px; } #ays-quiz-container-38 #ays_finish_quiz_38 .ays-field.ays_grid_view_item { width: calc(50% - 5px); } #ays-quiz-container-38 #ays_finish_quiz_38 .ays-field.ays_grid_view_item:nth-child(odd) { margin-right: 5px; } #ays-quiz-container-38 #ays_finish_quiz_38 .ays-field input:checked+label:before { border-color: #27AE60; background: #27AE60; background-clip: content-box; } #ays-quiz-container-38 .ays-quiz-answers div.ays-text-right-answer { color: #000; } /* Questions answer image */ #ays-quiz-container-38 .ays-answer-image { width:50%; } /* Questions answer right/wrong icons */ #ays-quiz-container-38 .ays-field input~label.answered.correct:after{ content: url('https://dreammathematic.com/wp-content/plugins/quiz-maker/public/images/correct-style-1.png'); } #ays-quiz-container-38 .ays-field input~label.answered.wrong:after{ content: url('https://dreammathematic.com/wp-content/plugins/quiz-maker/public/images/wrong-style-1.png'); } /* Dropdown questions */ #ays-quiz-container-38 #ays_finish_quiz_38 .ays-field .select2-container--default .select2-selection--single { border-bottom: 2px solid #27AE60; background-color: #27AE60; } #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__placeholder, #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered, #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow { color: #ffffff; } #ays-quiz-container-38 .select2-container--default .select2-search--dropdown .select2-search__field:focus, #ays-quiz-container-38 .select2-container--default .select2-search--dropdown .select2-search__field { outline: unset; padding: 0.75rem; } #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered, #ays-quiz-container-38 .select2-container--default .select2-results__option--highlighted[aria-selected] { background-color: #27AE60; } #ays-quiz-container-38 .ays-field .select2-container--default, #ays-quiz-container-38 .ays-field .select2-container--default .selection, #ays-quiz-container-38 .ays-field .select2-container--default .dropdown-wrapper, #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered, #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__rendered .select2-selection__placeholder, #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow, #ays-quiz-container-38 .ays-field .select2-container--default .select2-selection--single .select2-selection__arrow b[role='presentation'] { font-size: 16px !important; } #ays-quiz-container-38 .select2-container--default .select2-results__option { padding: 6px; } /* Dropdown questions scroll bar */ #ays-quiz-container-38 .select2-results__options::-webkit-scrollbar { width: 7px; } #ays-quiz-container-38 .select2-results__options::-webkit-scrollbar-track { background-color: rgba(255,255,255,0.35); } #ays-quiz-container-38 .select2-results__options::-webkit-scrollbar-thumb { transition: .3s ease-in-out; background-color: rgba(0,0,0,0.55); } #ays-quiz-container-38 .select2-results__options::-webkit-scrollbar-thumb:hover { transition: .3s ease-in-out; background-color: rgba(0,0,0,0.85); } /* Audio / Video */ #ays-quiz-container-38 .mejs-container .mejs-time{ box-sizing: unset; } #ays-quiz-container-38 .mejs-container .mejs-time-rail { padding-top: 15px; } #ays-quiz-container-38 .mejs-container .mejs-mediaelement video { margin: 0; } /* Limitation */ #ays-quiz-container-38 .ays-quiz-limitation-count-of-takers { padding: 50px; } #ays-quiz-container-38 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-show, #ays-quiz-container-38 div.ays-quiz-results-toggle-block span.ays-show-res-toggle.ays-res-toggle-hide{ color: #000; } #ays-quiz-container-38 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle { border: 1px solid #000; } #ays-quiz-container-38 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle { border: 1px solid #000; } #ays-quiz-container-38 div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{ background: #000; } #ays-quiz-container-38.ays_quiz_elegant_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after, #ays-quiz-container-38.ays_quiz_rect_dark div.ays-quiz-results-toggle-block input:checked + label.ays_switch_toggle:after{ background: #000; } /* Hestia theme (Version: 3.0.16) | Start */ #ays-quiz-container-38 .mejs-container .mejs-inner .mejs-controls .mejs-button > button:hover, #ays-quiz-container-38 .mejs-container .mejs-inner .mejs-controls .mejs-button > button { box-shadow: unset; background-color: transparent; } #ays-quiz-container-38 .mejs-container .mejs-inner .mejs-controls .mejs-button > button { margin: 10px 6px; } /* Hestia theme (Version: 3.0.16) | End */ /* Go theme (Version: 1.4.3) | Start */ #ays-quiz-container-38 label[for^='ays-answer']:before, #ays-quiz-container-38 label[for^='ays-answer']:before { -webkit-mask-image: unset; mask-image: unset; } #ays-quiz-container-38.ays_quiz_classic_light .ays-field input:checked+label.answered.correct:before, #ays-quiz-container-38.ays_quiz_classic_dark .ays-field input:checked+label.answered.correct:before { background-color: #27AE60 !important; } /* Go theme (Version: 1.4.3) | End */ #ays-quiz-container-38 .ays_quiz_results fieldset.ays_fieldset .ays_quiz_question .wp-video { width: 100% !important; max-width: 100%; } /* Classic Dark / Classic Light */ /* Dropdown questions right/wrong styles */ #ays-quiz-container-38.ays_quiz_classic_dark .correct_div, #ays-quiz-container-38.ays_quiz_classic_light .correct_div{ border-color:green !important; opacity: 1 !important; background-color: rgba(39,174,96,0.4) !important; } #ays-quiz-container-38.ays_quiz_classic_dark .correct_div .selected-field, #ays-quiz-container-38.ays_quiz_classic_light .correct_div .selected-field { padding: 0px 10px 0px 10px; color: green !important; } #ays-quiz-container-38.ays_quiz_classic_dark .wrong_div, #ays-quiz-container-38.ays_quiz_classic_light .wrong_div{ border-color:red !important; opacity: 1 !important; background-color: rgba(243,134,129,0.4) !important; } #ays-quiz-container-38.ays_quiz_classic_dark .ays-field, #ays-quiz-container-38.ays_quiz_classic_light .ays-field { text-align: left; /*margin-bottom: 10px;*/ padding: 0; transition: .3s ease-in-out; } #ays-quiz-container-38 .ays-quiz-close-full-screen { fill: #000; } #ays-quiz-container-38 .ays-quiz-open-full-screen { fill: #000; } #ays-quiz-container-38 .ays_quiz_login_form p{ color: #000; } @media screen and (max-width: 768px){ #ays-quiz-container-38{ max-width: 100%; } #ays-quiz-container-38 .ays_quiz_question p { font-size: 16px; } #ays-quiz-container-38 .select2-container, #ays-quiz-container-38 .ays-field * { font-size: 15px !important; } div#ays-quiz-container-38 input#ays-submit, div#ays-quiz-container-38 #ays_finish_quiz_38 .action-button, div#ays-quiz-container-38 #ays_finish_quiz_38 .action-button.ays_restart_button { font-size: 17px; } /* Quiz title / mobile font size */ div#ays-quiz-container-38 .ays-fs-title { font-size: 21px; } /* Question explanation / mobile font size */ #ays-quiz-container-38 .ays_questtion_explanation p { font-size:16px; } /* Wrong answers / mobile font size */ #ays-quiz-container-38 .wrong_answer_text p { font-size:16px; } } /* Custom css styles */ /* RTL direction styles */ #ays-quiz-container-38 p { margin: 0.625em; } #ays-quiz-container-38 .ays-field.checked_answer_div input:checked+label { background-color: rgba(39,174,96,0.6); } #ays-quiz-container-38.ays_quiz_classic_light .enable_correction .ays-field.checked_answer_div input:checked+label, #ays-quiz-container-38.ays_quiz_classic_dark .enable_correction .ays-field.checked_answer_div input:checked+label { background-color: transparent; } #ays-quiz-container-38 .ays-field.checked_answer_div input:checked+label:hover { background-color: rgba(39,174,96,0.8); } #ays-quiz-container-38 .ays-field:hover label{ background: rgba(39,174,96,0.8); /* border-radius: 4px; */ color: #fff; transition: all .3s; } #ays-quiz-container-38 #ays_finish_quiz_38 .action-button:hover, #ays-quiz-container-38 #ays_finish_quiz_38 .action-button:focus { box-shadow: 0 0 0 2px white, 0 0 0 3px #27AE60; background: #27AE60; } if(typeof aysQuizOptions === 'undefined'){ var aysQuizOptions = []; } aysQuizOptions['38'] = '{"quiz_version":"6.3.7.4","core_version":"6.1","php_version":"7.4.32","color":"#27AE60","bg_color":"#ffffff","text_color":"#000","height":350,"width":0,"enable_logged_users":"off","information_form":"disable","form_name":"on","form_email":"on","form_phone":"on","image_width":"","image_height":"","enable_correction":"off","enable_progress_bar":"off","enable_questions_result":"on","randomize_questions":"on","randomize_answers":"off","enable_questions_counter":"on","enable_restriction_pass":"off","restriction_pass_message":"","user_role":[],"custom_css":"","limit_users":"off","limitation_message":"","redirect_url":"","redirection_delay":0,"answers_view":"list","enable_rtl_direction":"off","enable_logged_users_message":"","questions_count":"","enable_question_bank":"off","enable_live_progress_bar":"on","enable_percent_view":"off","enable_average_statistical":"off","enable_next_button":"on","enable_previous_button":"on","enable_arrows":"off","timer_text":"","quiz_theme":"classic_light","enable_social_buttons":"off","result_text":"","enable_pass_count":"off","hide_score":"off","rate_form_title":"Please rate this quiz","box_shadow_color":"#000","quiz_border_radius":"3","quiz_bg_image":"","quiz_border_width":"1","quiz_border_style":"solid","quiz_border_color":"#000","quiz_loader":"ripple","create_date":"2022-10-13 06:10:26","author":"{\"id\":\"1\",\"name\":\"Dream Mathematic\"}","quest_animation":"fade","form_title":"","enable_bg_music":"off","quiz_bg_music":"","answers_font_size":16,"show_create_date":"off","show_author":"off","enable_early_finish":"off","answers_rw_texts":"on_results_page","disable_store_data":"off","enable_background_gradient":"off","background_gradient_color_1":"#000","background_gradient_color_2":"#fff","quiz_gradient_direction":"vertical","redirect_after_submit":"off","submit_redirect_url":"","submit_redirect_delay":"0","progress_bar_style":"first","enable_exit_button":"off","exit_redirect_url":"","image_sizing":"cover","quiz_bg_image_position":"center center","custom_class":"","enable_social_links":"off","social_links":{"linkedin_link":"","facebook_link":"","twitter_link":"","vkontakte_link":"","instagram_link":"","youtube_link":"","behance_link":""},"show_quiz_title":"on","show_quiz_desc":"on","show_login_form":"off","mobile_max_width":"","limit_users_by":"ip","active_date_check":"off","activeInterval":"2022-11-08 12:16:20","deactiveInterval":"2022-11-08 12:16:20","active_date_pre_start_message":"The quiz will be available soon!","active_date_message":"This quiz has expired!","explanation_time":"4","enable_clear_answer":"off","show_category":"off","show_question_category":"off","display_score":"by_correctness","enable_rw_asnwers_sounds":"off","ans_right_wrong_icon":"style-1","quiz_bg_img_in_finish_page":"off","finish_after_wrong_answer":"off","after_timer_text":"","enable_enter_key":"on","buttons_text_color":"#000","buttons_position":"center","show_questions_explanation":"disable","enable_audio_autoplay":"off","buttons_size":"medium","buttons_font_size":"17","buttons_width":"","buttons_left_right_padding":"20","buttons_top_bottom_padding":"10","buttons_border_radius":"3","enable_leave_page":"on","enable_tackers_count":"off","tackers_count":"","pass_score":33,"pass_score_message":"<h4 style=\"text-align: center\">Congratulations!<\/h4>\r\n<p style=\"text-align: center\">You passed the quiz!<\/p>","fail_score_message":"<h4 style=\"text-align: center\">Oops!<\/h4>\r\n<p style=\"text-align: center\">You have not passed the quiz!\r\nTry again!<\/p>","question_font_size":16,"quiz_width_by_percentage_px":"pixels","questions_hint_icon_or_text":"default","questions_hint_value":"","enable_early_finsh_comfirm_box":"on","enable_questions_ordering_by_cat":"off","show_schedule_timer":"off","show_timer_type":"countdown","quiz_loader_text_value":"","hide_correct_answers":"off","show_information_form":"off","quiz_loader_custom_gif":"","disable_hover_effect":"off","quiz_loader_custom_gif_width":100,"progress_live_bar_style":"default","quiz_title_transformation":"uppercase","show_answers_numbering":"a)","quiz_image_width_by_percentage_px":"pixels","quiz_image_height":"","quiz_bg_img_on_start_page":"off","quiz_box_shadow_x_offset":0,"quiz_box_shadow_y_offset":0,"quiz_box_shadow_z_offset":15,"quiz_question_text_alignment":"center","quiz_arrow_type":"default","quiz_show_wrong_answers_first":"off","quiz_display_all_questions":"off","quiz_timer_red_warning":"off","quiz_schedule_timezone":"Asia\/Karachi","questions_hint_button_value":"","quiz_tackers_message":"<p>This quiz is expired!<\/p>\r\n","quiz_enable_linkedin_share_button":"on","quiz_enable_facebook_share_button":"on","quiz_enable_twitter_share_button":"on","quiz_make_responses_anonymous":"off","quiz_make_all_review_link":"off","show_questions_numbering":"1.","quiz_message_before_timer":"","enable_password":"off","password_quiz":"","quiz_password_message":"","enable_see_result_confirm_box":"off","display_fields_labels":"off","enable_full_screen_mode":"off","quiz_enable_password_visibility":"off","question_mobile_font_size":16,"answers_mobile_font_size":15,"social_buttons_heading":"","quiz_enable_vkontakte_share_button":"on","answers_border":"on","answers_border_width":1,"answers_border_style":"solid","answers_border_color":"#444","social_links_heading":"","quiz_enable_question_category_description":"off","answers_margin":10,"quiz_message_before_redirect_timer":"","buttons_mobile_font_size":17,"answers_box_shadow":"off","answers_box_shadow_color":"#000","quiz_answer_box_shadow_x_offset":0,"quiz_answer_box_shadow_y_offset":0,"quiz_answer_box_shadow_z_offset":10,"quiz_create_author":1,"quiz_enable_title_text_shadow":"off","quiz_title_text_shadow_color":"#333","quiz_title_text_shadow_x_offset":2,"quiz_title_text_shadow_y_offset":2,"quiz_title_text_shadow_z_offset":2,"quiz_show_only_wrong_answers":"off","quiz_title_font_size":21,"quiz_title_mobile_font_size":21,"quiz_password_width":"","quiz_review_placeholder_text":"","quiz_make_review_required":"off","quiz_enable_results_toggle":"off","quiz_review_thank_you_message":"","quiz_review_enable_comment_field":"on","required_fields":null,"enable_timer":"off","enable_quiz_rate":"off","enable_rate_avg":"on","enable_box_shadow":"on","enable_border":"off","quiz_timer_in_title":"off","enable_rate_comments":"on","enable_restart_button":"on","autofill_user_data":"off","timer":100,"quiz_waiting_time":"off","submit_redirect_after":"","rw_answers_sounds":false,"id":"38","title":"Ring Theory MCQs Quiz.1","description":"","quiz_image":"","quiz_category_id":"6","question_ids":"866,867,868,869,870,871,872,873,874,875,876,877,878,879,880","ordering":"38","published":"1","intervals":null,"quiz_animation_top":100,"quiz_enable_animation_top":"on"}'; ```