{"id":1275,"date":"2024-03-05T15:14:47","date_gmt":"2024-03-05T15:14:47","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=1275"},"modified":"2024-03-05T15:14:47","modified_gmt":"2024-03-05T15:14:47","slug":"if-the-mean-height-of-boys-in-a-class-is-60-cm-the-mean-height-of-girls-is-55-cm-and-the-mean-height-of-all-the-students-in-the-class-is-57-cm-what-will-be-the-ratio-of-the-number-of-boys-to-the-num","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-mean-height-of-boys-in-a-class-is-60-cm-the-mean-height-of-girls-is-55-cm-and-the-mean-height-of-all-the-students-in-the-class-is-57-cm-what-will-be-the-ratio-of-the-number-of-boys-to-the-num\/","title":{"rendered":"If the mean height of boys in a class is 60 cm, the mean height of girls is 55 cm and the mean height of all the students in the class is 57 cm, what will be the ratio of the number of boys to the number of girls ?"},"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_6a9a286e3101f\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    01:01                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"true\">\r\n                    01:02                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    02:03                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    03:02                <\/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 (b), 1:2.<\/p>\n<p>Let $x$ be the number of boys and $y$ be the number of <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> girls. We know that the mean height of boys is 60 cm, the mean height of girls is 55 cm, and the mean height of all the students in the class is 57 cm. We can express this mathematically as follows:<\/p>\n<p>$$\\frac{60x}{x+y} = 57$$<br \/>\n$$\\frac{55y}{x+y} = 57$$<\/p>\n<p>Subtracting the two equations, we get:<\/p>\n<p>$$5x = 2y$$<\/p>\n<p>Dividing both sides by 5, we get:<\/p>\n<p>$$x = \\frac{2y}{5}$$<\/p>\n<p>Therefore, the ratio of the number of boys to the number of girls is $\\frac{x}{y} = \\frac{2}{5} = 1:2$.<\/p>\n<p>Option (a), 1:1, is incorrect because the mean height of boys is greater than the mean height of girls. This means that there must be more boys than girls in the class.<\/p>\n<p>Option (c), 2:3, is <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> incorrect because the mean height of boys is not twice the mean height of girls. This means that the ratio of the number of boys to the number of girls cannot be 2:3.<\/p>\n<p>Option (d), 3:2, is incorrect because the mean height of boys is not three times the mean height of girls. This means that the ratio of the number of boys to the number of girls cannot be 3:2.<\/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":[28],"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>If the mean height of boys in a class is 60 cm, the mean height of girls is 55 cm and the mean height of all the students in the class is 57 cm, what will be the ratio of the number of boys to the number of girls ?<\/title>\n<meta name=\"description\" content=\"Let $x$ be the number of boys and $y$ be the number of girls. 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