{"id":45198,"date":"2024-04-15T21:54:37","date_gmt":"2024-04-15T21:54:37","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=45198"},"modified":"2024-04-15T21:54:37","modified_gmt":"2024-04-15T21:54:37","slug":"directions-in-each-of-the-following-questions-a-statement-is-given-followed-by-two-conclusions-give-answer-statement-if-you-are-an-engineer-we-have-a-challenging-job-for-you-assumptions-i","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/directions-in-each-of-the-following-questions-a-statement-is-given-followed-by-two-conclusions-give-answer-statement-if-you-are-an-engineer-we-have-a-challenging-job-for-you-assumptions-i\/","title":{"rendered":"Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer : Statement : If you are an engineer, we have a challenging job for you. Assumptions : I. We need an engineer. II. You are an engineer."},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Only assumption I is implicit&#8221; option2=&#8221;Only assumption II is implicit&#8221; option3=&#8221;Either I or II is implicit&#8221; option4=&#8221;Neither I nor II is implicit E. Both I and II are implicit&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: Only assumption II is implicit.<\/p>\n<p>The statement &#8220;If you are an engineer, we have a challenging job for you&#8221; is an implication. An implication is a statement of the form &#8220;If P, then Q.&#8221; In this case, P is &#8220;you are an engineer&#8221; and Q is &#8220;we have a challenging job for you.&#8221;<\/p>\n<p>An implication is true if and only if P is false or Q is true. In other words, the implication &#8220;If P, then Q&#8221; is true if and only if either P is false or Q is true.<\/p>\n<p>In the statement &#8220;If you are an engineer, we have a challenging job for you,&#8221; P is &#8220;you are an engineer&#8221; and Q is &#8220;we have a challenging job for you.&#8221; We know that P is true if and only if you are an engineer. We also know that Q is true if and only if we have a challenging job for you.<\/p>\n<p>Therefore, the implication &#8220;If you are an engineer, we have a challenging job for you&#8221; is true if and only if you are an engineer or we have a challenging job for you.<\/p>\n<p>Assumption I is &#8220;We need an engineer.&#8221; This assumption is not necessary for the implication to be true. The implication is true if and only if you are an engineer or we have a challenging job for you. We do not need to assume that we need an engineer for the implication to be true.<\/p>\n<p>Assumption II is &#8220;You are an engineer.&#8221; This assumption is necessary for the implication to be true. The implication is true if and only if you are an engineer or we have a challenging job for you. If you are not an engineer, then the implication is false. Therefore, we must assume that you are an engineer for the implication to be true.<\/p>\n<p>In conclusion, only assumption II is implicit in the statement &#8220;If you are an engineer, we have a challenging job for you.&#8221;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Only assumption I is implicit&#8221; option2=&#8221;Only assumption II is implicit&#8221; option3=&#8221;Either I or II is implicit&#8221; option4=&#8221;Neither I nor II is implicit E. Both I and II are implicit&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[721],"tags":[],"class_list":["post-45198","post","type-post","status-publish","format-standard","hentry","category-statement-and-assumption","no-featured-image-padding"],"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>Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer : Statement : If you are an engineer, we have a challenging job for you. Assumptions : I. We need an engineer. II. 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