[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-320330-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-320330-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","mathematical-reasoning-selected-multiple-choice-questions","Mathematical Reasoning - Selected Multiple Choice Questions","","This document provides a collection of selected multiple-choice questions focusing on mathematical reasoning, designed for academic assessment and exam preparation. The content includes a variety of quantitative problems such as average speed calculations, number series, age-related algebraic word problems, compound interest formulas, and weighted averages of student scores. Each question is presented clearly to test logical deduction and numerical accuracy, serving as a valuable practice resource for students seeking to enhance their problem-solving skills in competitive examination environments. The inclusion of handwritten step-by-step solutions for specific problems further aids in understanding the underlying methodologies and logical steps required to reach the correct answers. These materials are suitable for individuals preparing for entrance exams or general aptitude assessments that emphasize rapid mental calculations and mathematical proficiency.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/mathematical-reasoning-selected-multiple-choice-questions/320330/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/mathematical-reasoning-selected-multiple-choice-questions/320330.png","ImageObject",300,407,{"name":42,"@type":43},"Theodora","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-09-22","2026-09-21",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you calculate the average speed for a round trip with different speeds?","Question",{"text":62,"@type":63},"The average speed is calculated by dividing the total distance by the total time. In the provided example, the harmonic mean formula is often applied when distances are equal.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How is a weighted average mark calculated for a student?",{"text":67,"@type":63},"A weighted average is calculated by multiplying each mark by its corresponding credit (weight), summing those products, and then dividing by the sum of all credits.",{"name":69,"@type":60,"acceptedAnswer":70},"What is the approach to solving age-related word problems?",{"text":71,"@type":63},"Age problems are solved by setting up an algebraic equation based on the given relationships. For instance, expressing the ages in terms of a variable 'x' and adjusting for the time difference (past or future) allows for solving the unknown variable.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},320330,1790092952,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":26,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":145},687197207919,"https://ap-avatar.wpscdn.com/avatar/a000253d6f5f7c60be?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779446848396160552","PAPER-I  \nMATHEMATICAL REASONING  \nSELECTED MCQ’S  \n1 . A motorist travels to a place 150 kms away at an average speed of 50 km/ hour and returns at a speed of  \n30 km / hour. His average speed for the whole journey is  \n(a) 35 km/hour  \n(b) 37.5 km/hour  \n(c) 40 km/hour  \n(d) 42.5 km/hour    \n2 . In the following letter series, the next term is BDF, EGI, HJL,   \n(a) KMO  \n(b) JMP  \n(c) ILO  \n(d) KNO  \n3 . A man is 30 years older than his son. Five years ago, his age was 6 times the age of his son. The age of the son  \nis  \n(a) 10 years  \n(b) 11 years  \n(c) 12 years  \n(d) 15 years  \n4 . A sum of money earning compound interest  annually doubles itself after 4 years. What is the rate of interest?  \n(a) ~14%  \n(b) ~19%  \n(c) ~18%  \n(d) ~15%  \n5 . What is the next term in the following series?  \n4, 12, 28, 52,(a) 76  \n(b) 84  \n(c) 98  \n(d) 104  \n_____  \n6 . The average of 70 numbers is 32. If each number is increased by 3, then the new average will become  \n(a) 31  \n(b) 33  \n(c) 35  \n(d) 37  \n7 . A person in a car drives along a straight road from point A to point B at a speed of 60 km/hour for 15 minutes and then from point B to point C at a speed of 90 km/hour for  \n10 minutes. The average speed of his travel from point A  \nto C is      \n(a) 75 km/hr    \n(b) 72 km/hr    \n(c) 68 km/hr  \n(d) 78 km/hr  \n8 . A student scores 55, 60, 65 and 70 respectively in English, Physics, Chemistry and Mathematics. If the credits assigned to English, Physics, Chemistry and Mathematics are 2, 3, 3 and 4 respectively then what would be the average mark of the student?  \n(a) 62.50  \n(b) 63.75  \n(c) 64.25  \n(d) 64.75  \n9 . A shopkeeper sells an item at a discount of 40% on the item’s listed price of 1500.00. He still makes a profit of  \n20% on the original cost of the item. What is the original  \ncost of the item?  \n(a)500  \n(b)750  \n(c) 600  \n(d) 108O","cbCaiidy3UmxwvpR","https://ap.wps.com/l/cbCaiidy3UmxwvpR","pdf",21565370,56,"English","# Mathematical Reasoning Selected MCQs\n## Practice Questions\n## Step-by-Step Problem Solutions","[{\"question\":\"How do you calculate the average speed for a round trip with different speeds?\",\"answer\":\"The average speed is calculated by dividing the total distance by the total time. In the provided example, the harmonic mean formula is often applied when distances are equal.\"},{\"question\":\"How is a weighted average mark calculated for a student?\",\"answer\":\"A weighted average is calculated by multiplying each mark by its corresponding credit (weight), summing those products, and then dividing by the sum of all credits.\"},{\"question\":\"What is the approach to solving age-related word problems?\",\"answer\":\"Age problems are solved by setting up an algebraic equation based on the given relationships. For instance, expressing the ages in terms of a variable 'x' and adjusting for the time difference (past or future) allows for solving the unknown variable.\"}]","Mathematical Reasoning - Selected Multiple Choice Questions | PDF",1789949697,141]