[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-291220-105":59,"doc-detail-291220-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","quantitative-reasoning-i-course-code-9424","QUANTITATIVE REASONING-I - Course Code 9424","","Quantitative Reasoning-I course guide for Allama Iqbal Open University (AIOU) focuses on developing analytical, critical thinking, and logical reasoning skills through core mathematical concepts. It emphasizes solving real-world problems using quantitative reasoning, data interpretation, probability for risk assessment, statistical analysis, and mathematical modeling. The guide outlines course objectives and organization into nine units within one volume, and it encourages clear communication of quantitative information.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/quantitative-reasoning-i-course-code-9424/291220/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/quantitative-reasoning-i-course-code-9424/291220.png","ImageObject",300,407,{"name":92,"@type":93},"Jacob","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-17",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",27,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What skills does the Quantitative Reasoning-I course aim to develop?","Question",{"text":113,"@type":114},"The course aims to build critical thinking, problem-solving, logic and reasoning, statistical data interpretation, probability-based risk assessment, mathematical modeling, and clear communication of quantitative information.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which topics are included in the course?",{"text":118,"@type":114},"The course covers logic, probability, statistics, and mathematical modeling, supported by practical examples and hands-on activities.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the course organized?",{"text":122,"@type":114},"The guide is divided into nine units in one volume, presenting the material in an informal way and focusing on relevant mathematics topics.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},291220,1789643770,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145},962084931830,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","BS  \nQUANTITATIVE REASONING-I  \nCourse Code: 9424  \nDepartment of Mathematics Faculty of Sciences  \nALLAMA IQBAL OPEN UNIVERSITY  \nQUANTITATIVE REASONING-I  \nCourse Code: 9424 Units: 1–9  \nDEPARTMENT OF MATHEMATICS ALLAMA IQBAL OPEN UNIVERSITY ISLAMABAD  \nCOURSE DEVELOPMENT TEAM  \nChairperson Course Team: Prof. Dr. Hajra Ahmed  \nCourse Coordinator: Dr. Rizwan Salim Badar  \nUnit Writers: Dr. Muhammad Nazam  \nDr. Irfan Younas  \nDr. Bismah Jamil  \nDr. Rizwan Salim Badar  \nUnits Reviewer: Dr. Muhammad Asad Zaigham  \nEditor: Mr. Fazal Karim  \nTypeset / Layout: M. Hameed Zahid  \nFOREWORD  \nThis study guide has been designed to teach our students how to use quantitative reasoning, logical thinking, and basic mathematical skills to solve problems in reallife situations. The purpose is to assist the students in developing the capacity to provide thoughtful and fact-based arguments. To demonstrate the importance of quantitative reasoning in all areas of learning thought-provoking questions have been included from a variety of academic and real-world subjects.  \nQuantitative Reasoning has been a compulsory topic now in syllabi of all universities as recommended by Higher Education Commission of Pakistan. It acts as a thorough manual, offering the fundamental information required to understand quantitative reasoning and its real-world applications. It is created in a performance-based manner with the goal of imparting fundamental concepts in mathematics. This novel course format has been shaped by countless hours of hard work, dedication and fruitful conversations. It is our firm belief that this guide will satisfy students’ intuitions and offer them visual confirmation. This text places a higher priority on conceptual comprehension and practical application than traditional methods, which place greater value on formal mathematical proofs.  \nFinally, I would like to express my sincere gratitude to everyone who has contributed, no matter how tiny, to make this guide a reality in such a short period of time. I sincerely appreciate all the hard work and continued efforts for timely completion of the task. We have worked together to produce something genuinely valuable, and I hope that it will inspire students to improve their learning abilities and logical thinking.  \nProf. Dr. Nasir Mahmood  \n(Vice-Chancellor)  \nMESSAGE FROM THE DEAN  \nThe scientific discipline that establishes connections and bridges the gaps across the natural sciences is mathematics. Though it appears rather abstract by nature, mathematics is used in other sciences. Its uses immediately become apparent to us. For our pupils to internalize the foundational ideas, this course is extremely necessary.  \nThis guide covers a lot of the foundational mathematics required for business and other social science courses. I would want to sincerely thank, appreciate, and congratulate everyone who helped in the preparation of this book. This will undoubtedly help our pupils refine their business concepts quantitatively.  \nProf. Dr. Hajra Ahmed  \nDean, Faculty of Sciences  \nACKNOWLEDGEMENTS  \nI am grateful to God Almighty for giving me the opportunity to supervise the development of the course ‘Quantitative Reasoning’. I would like to express my gratitude to my worthy colleagues who contributed to writing units, proofreading, editing and designing this guide.  \nI would like to thank Dr. Nasir Rehman and Dr. Irfan Mustafa for their constant support and encouragement. I am especially grateful to Dr. Asad Zaigham for reviewing the manuscript of the book in detail.  \nI would like to thank writers Dr. Muhammad Nazam, Dr. Irfan Yunus, Dr. Bismah Jamil and Dr. Rizwan Salim Badar for writing this course on a priority basis. Particular thanks go to Dr. Rizwan Salim Badar and Mr. Mujahid Ahmad for proofreading and composing the guide.  \nI am highly grateful to Prof. Dr. Nasir Mahmood, Vice-Chancellor AIOU and Prof. Dr. Hajra Ahmed, Dean Faculty of Sciences AIOU for giving a conducive environment ","cbCaigQBcCuxOWWi","https://ap.wps.com/l/cbCaigQBcCuxOWWi","pdf",3592688,173,"English","# Course Introduction\n# Objectives\n# How Is the Course Organized?","[{\"question\":\"What skills does the Quantitative Reasoning-I course aim to develop?\",\"answer\":\"The course aims to build critical thinking, problem-solving, logic and reasoning, statistical data interpretation, probability-based risk assessment, mathematical modeling, and clear communication of quantitative information.\"},{\"question\":\"Which topics are included in the course?\",\"answer\":\"The course covers logic, probability, statistics, and mathematical modeling, supported by practical examples and hands-on activities.\"},{\"question\":\"How is the course organized?\",\"answer\":\"The guide is divided into nine units in one volume, presenting the material in an informal way and focusing on relevant mathematics topics.\"}]","QUANTITATIVE REASONING-I - Course Code 9424 | PDF",436]