[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-463892-105":59,"doc-detail-463892-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","numerical-ability-answer-key-set-1-basic-operations","Numerical Ability Answer Key - Set 1 - Basic Operations","","Numerical Ability Answer Key - Set 1 - Basic Operations provides solution answers with worked explanations for a sequence of problems focused on fundamental operations. The explanations cover arithmetic computations, simplification using fraction and decimal equivalents, application of PEMDAS order of operations, solving linear equations by grouping terms and isolating variables, and handling inequalities. Each item lists the selected answer choice and then demonstrates the calculation steps to reach the result.",{"@graph":69,"@context":122},[70,84,105],{"@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/numerical-ability-answer-key-set-1-basic-operations/463892/",{"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/numerical-ability-answer-key-set-1-basic-operations/463892.png","ImageObject",300,407,{"name":92,"@type":93},"Blue Pony","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-09","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What problem area does Set 1: Basic Operations focus on?","Question",{"text":112,"@type":113},"It focuses on fundamental numerical operations such as arithmetic computation, fraction/decimal conversion, order of operations, and basic algebraic manipulation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the explanations handle fractions and mixed fractions?",{"text":117,"@type":113},"They convert mixed fractions to improper fractions and align denominators to combine or compare values, then relate the result to the answer choices.",{"name":119,"@type":110,"acceptedAnswer":120},"How are equations in the set typically solved?",{"text":121,"@type":113},"The solutions use standard algebra steps like grouping similar terms, isolating the variable, and dividing both sides (or using methods such as cross-multiplication) to find x.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},463892,1790845841,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":44,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},962090760266,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Numerical Ability Answer key  \nSet 1 : Basic Operations  \n1 . Answer: C  \nExplanation: The cost of the items that Fred bought is equal to: 567 + 430 + 180 = 1177. To  \ndetermine the amount of money left to Fred: 2000-1177 = 823.  \n2. Answer: D  \nExplanation: The problem asked us to determine ~~ 2~~3~~ ~~of 5400 (this is the amount of money received by Anton’s brother) . ~~ ~~23~~ ~~of 5400 also means ~~ ~~23~~ ~~x 5400 (“of” is a signal word for multiplication of fractions) . Thus, to compute ~~ ~~23~~ ~~x 5400 without using calculator, start with 2 x 5400 and divide the product by 3 :  \n~~ 2~~3~~ ~~x 5400 = ~~ 2 ×5~~3~~400 ~~ = ~~ 108~~3~~00 ~~ = 3600  \n3. Answer: C  \nExplanation: You may either change all values in the options into decimal form or fraction form (whichever you find easier) so that you can easily compare the values.  \nIf we change all values into decimal form, we have:  \n(A) ~~ ~~56~~ ~~ = 5 ÷ 6 = 0. 83  \n( B) 0.90  \n(C) ~~ 3~~4~~ ~~ = 3 ÷ 4 = 0. 75  \n( D) 0.80  \nNote that from the given options, 0.75 or ¾ has the least value.  \n4. Answer: B  \nExplanation: Using PEMDAS, we start with the expression inside the parentheses which is 27 − 23. Note that since the terms inside the parenthesis have an exponent, we can then simplify the exponent inside the parenthesis.  \n3  \n12 × (27 − 2 ) ÷ 4  \n12 × (27 − 8) ÷ 4  \n12 × (19) ÷ 4  \nTo get more Civil Service Exam review materials, visit  \n[https://filipiknow.net/civil-service](https://filipiknow.net/civil-service)reviewer/  \nTo God be the glory!  \nNumerical Ability Answer key  \nSet 1 : Basic Operations  \nNow, we can perform multiplication:  \n12 × (19) ÷ 4  \n228 ÷ 4  \nLastly, we divide the remaining numbers:  \n228 ÷ 4  \n57  \n5 . Answer: A  \nExplanation:  \n4m-19 = 7m-70  \nGroup similar terms:  \n70-19 = 7m-4m  \nSimplify the Left and Right hand side of the equation:  \n51 = 3m  \nDivide both sides by 3 :  \n17 = m  \nm = 17  \n6. Answer: B  \nExplanation: To obtain the average of a set of numbers, we divide the sum of these numbers by the total number of addends.  \n~~ ~~􀕝􀕘􀕝􀕊􀕜􀕕􀕞􀕗􀕖􀕞􀕖􀕘􀕏􀕋􀕎􀕗􀕛􀕞􀕘􀕖􀕏􀕋􀕊􀕎􀕛􀕍􀕍􀕜􀕎􀕗􀕍􀕜~~ ~~ = 􀕊􀕟􀕎􀕛􀕊􀕐􀕎  \nThe problem asked us to determine the sum of the weights of nine office workers given that the average of their weights is 45 kilos.  \nLet X be the sum of their weights  \n~~ ~~􀕇9~~ ~~ = 45  \nMultiplying both sides by 9 :  \n􀕇 = 9 × 45 = 405  \nThus the sum of their weights is 405 kilos.  \n7. Answer: D  \nExplanation:  \nTo get more Civil Service Exam review materials, visit  \n[https://filipiknow.net/civil-service](https://filipiknow.net/civil-service)reviewer/  \nTo God be the glory!  \nNumerical Ability Answer key  \nSet 1 : Basic Operations  \n− 13 + ( − 2)3 − ( − 1)2  \nSimplifying each term with exponents:  \n− 1 + ( − 8) − (1)  \nPerforming the indicated operations from left to right:  \n− 9 − 1  \n− 9 + ( − 1)  \n− 10  \n8. Answer: C  \nExplanation: Cost of one burger: Php 32.50 → Cost of two burgers: 2 × 32. 50 = 65 Cost of one bottle of juice drink: Php 25.00 →Cost of three bottles of juice drink:  \n3 × 25. 00 = 75  \nTotal amount that Alex paid: 65 + 75 = 140  \n9. Answer: D  \nExplanation: We need to simplify the given expression to determine its value:  \n~~ ~~13~~ ~~+ 2~~ ~~25~~ ~~  \nFirst, transform the mixed fraction into an improper fraction:  \n~~ ~~13~~ ~~ + ~~ ~~125~~  ~~Make the fractions similar:  \n~~ ~~515~~ ~~ + ~~ ~~3165~~  ~~Combine the fractions:  \n 41   \n5  \nWe’re now going to compare each value in the given options and determine which is not equivalent ~~ ~~415~~ ~~  \n(A) ~~ ~~415~~ ~~is clearly equivalent to ~~ ~~415~~ ~~  \n( B) 8.2 is obtained if you divide 41 by 5. Thus, this is equivalent to ~~ 41~~5~~ ~~  \n(C) 8~~ ~~15~~ ~~is the mixed form of ~~ ~~415~~ ~~  \nTo get more Civil Service Exam review materials, visit  \n[https://filipiknow.net/civil-service](https://filipiknow.net/civil-service)reviewer/  \nTo God be the glory!  \nNumerical Ability Answer key  \nSet 1 : Basic Operations  \n( D) ~~ ~~435~~ ~~is not equivalent to ~~ ~~415~~ ~~, since ~~ ~~435~~ ~~h","cbCaimNuldX67Dye","https://ap.wps.com/l/cbCaimNuldX67Dye","pdf",321408,"English","# Set 1: Basic Operations\n## Answer explanations (1-13)","[{\"question\":\"What problem area does Set 1: Basic Operations focus on?\",\"answer\":\"It focuses on fundamental numerical operations such as arithmetic computation, fraction/decimal conversion, order of operations, and basic algebraic manipulation.\"},{\"question\":\"How do the explanations handle fractions and mixed fractions?\",\"answer\":\"They convert mixed fractions to improper fractions and align denominators to combine or compare values, then relate the result to the answer choices.\"},{\"question\":\"How are equations in the set typically solved?\",\"answer\":\"The solutions use standard algebra steps like grouping similar terms, isolating the variable, and dividing both sides (or using methods such as cross-multiplication) to find x.\"}]","Numerical Ability Answer Key - Set 1 - Basic Operations | PDF",1790767327,23]