{"id":253738,"date":"2025-07-12T06:48:52","date_gmt":"2025-07-12T06:48:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=253738"},"modified":"2025-07-12T06:49:00","modified_gmt":"2025-07-12T06:49:00","slug":"consider-the-following-statement-you-loose-weight-if-and-only-if-you-do-sports","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/consider-the-following-statement-you-loose-weight-if-and-only-if-you-do-sports\/","title":{"rendered":"Consider the following statement: You loose weight if and only if you do sports"},"content":{"rendered":"\n<p>Consider the following statement: You loose weight if and only if you do sports. Which of the following is correct for this statement? <\/p>\n\n\n\n<p>A) Doing sports is not a necessary condition for loosing weight. <\/p>\n\n\n\n<p>B) Doing sports is not a sufficient condition for loosing weight. <\/p>\n\n\n\n<p>C) None of the above<\/p>\n\n\n\n<p> D) Doing sports is both a necessary and sufficient condition for loosing weight.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>D) Doing sports is both a necessary and sufficient condition for losing weight.<\/strong><\/p>\n\n\n\n<p>Explanation:<\/p>\n\n\n\n<p>In logic, the phrase &#8220;if and only if&#8221; (often abbreviated as &#8220;iff&#8221;) represents a bidirectional condition. This means that both conditions must be true at the same time, or both false at the same time, for the overall statement to hold.<\/p>\n\n\n\n<p>The statement &#8220;You lose weight if and only if you do sports&#8221; can be broken down into two parts:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>You lose weight <strong>if<\/strong> you do sports. This implies that doing sports is <strong>a sufficient condition<\/strong> for losing weight.<\/li>\n\n\n\n<li>You lose weight <strong>only if<\/strong> you do sports. This implies that doing sports is <strong>a necessary condition<\/strong> for losing weight.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Necessary Condition:<\/h3>\n\n\n\n<p>A necessary condition is something that must be true for a particular outcome to happen. In this case, the statement says that if you lose weight, it <strong>must<\/strong> be because you are doing sports. Therefore, doing sports is <strong>necessary<\/strong> for losing weight.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Sufficient Condition:<\/h3>\n\n\n\n<p>A sufficient condition is something that, if true, guarantees a particular outcome. The statement also implies that if you are doing sports, then you <strong>will<\/strong> lose weight. Therefore, doing sports is <strong>sufficient<\/strong> for losing weight.<\/p>\n\n\n\n<p>Since both conditions\u2014doing sports being necessary and sufficient for losing weight\u2014are true according to the given statement, the correct answer is that doing sports is both a necessary and sufficient condition for losing weight.<\/p>\n\n\n\n<p>This kind of logical structure is central to understanding how two conditions can be intertwined, as both must happen together or neither will occur.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Consider the following statement: You loose weight if and only if you do sports. Which of the following is correct for this statement? A) Doing sports is not a necessary condition for loosing weight. B) Doing sports is not a sufficient condition for loosing weight. C) None of the above D) Doing sports is both [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-253738","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253738","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=253738"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253738\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=253738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=253738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=253738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}