{"id":4826,"date":"2024-03-05T16:13:11","date_gmt":"2024-03-05T16:13:11","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=4826"},"modified":"2024-03-05T16:13:11","modified_gmt":"2024-03-05T16:13:11","slug":"which-number-should-be-subtracted-from-24-31-58-and-79-so-that-the-ratio-of-the-remainders-of-the-first-two-numbers-is-proportion-to-the-ratio-of-the-remainders-of-the-other-two-numbers","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-number-should-be-subtracted-from-24-31-58-and-79-so-that-the-ratio-of-the-remainders-of-the-first-two-numbers-is-proportion-to-the-ratio-of-the-remainders-of-the-other-two-numbers\/","title":{"rendered":"Which number should be subtracted from 24, 31, 58 and 79 so that the ratio of the remainders of the first two numbers is proportion to the ratio of the remainders of the other two numbers?"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a973babb1974\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    5                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    7                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    8                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"true\">\r\n                    None of the above                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is (d).<\/p>\n<p>To solve this question, we can first find the remainders of each number when divided by 10:<\/p>\n<ul>\n<li>24 \u00c3\u00b7 10 = 2, <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> remainder 4<\/li>\n<li>31 \u00c3\u00b7 10 = <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> 3, remainder 1<\/li>\n<li>58 \u00c3\u00b7 10 = 5, remainder 8<\/li>\n<li>79 \u00c3\u00b7 10 = 7, remainder 9<\/li>\n<\/ul>\n<p>We can then subtract 4 from each number:<\/p>\n<ul>\n<li>24 &#8211; 4 = 20<\/li>\n<li>31 &#8211; 4 = 27<\/li>\n<li>58 &#8211; 4 = 54<\/li>\n<li>79 &#8211; 4 = 75<\/li>\n<\/ul>\n<p>The ratio of the remainders of the first two numbers is now 20:27, and the ratio of the remainders of the other two numbers is 54:75. These ratios are not equal, so we need to subtract another number from the first two numbers.<\/p>\n<p>We can continue subtracting 4 from each number until the ratio of the remainders of the first two numbers is equal to the ratio of the remainders of the other two numbers. However, we will never reach a point where the ratios are equal, because the remainders of the first two numbers are always odd, while the remainders of the other two numbers are always even.<\/p>\n<p>Therefore, the answer is (d).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[75],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Which number should be subtracted from 24, 31, 58 and 79 so that the ratio of the remainders of the first two numbers is proportion to the ratio of the remainders of the other two numbers?<\/title>\n<meta name=\"description\" content=\"To solve this question, we can first find the remainders of each 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