[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-143295-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-143295-en":131},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","day-3-question-set","Day 3 - Question Set","","Day 3 question set containing a sequence of mixed mathematics problems across trigonometry, statistics, coordinate geometry, probability, logarithms, algebra, and geometric progressions. Tasks include finding trigonometric values from given sine or cosine, computing medians and adjusted means, determining circle parameters and tangent line equations, solving logarithmic and absolute-value equations, and working with perpendicular slopes. It also includes word problems involving combinatorics and constraints, line intersection conditions, polynomial division remainders, and geometry involving area and perimeter.",{"@graph":14,"@context":73},[15,34,56],{"@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/day-3-question-set/143295/",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/day-3-question-set/143295.png","ImageObject",300,407,{"name":42,"@type":43},"Aurora","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-27","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",26,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What topics are covered in the Day 3 question set?","Question",{"text":63,"@type":64},"It covers trigonometry, statistics (median and mean), coordinate geometry (circles, tangents, perpendicular slopes), probability, logarithms, algebraic equations, geometric progressions, and some applied combinatorics and geometry problems.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do the questions use the mean and median concepts?",{"text":68,"@type":64},"One question asks for the median of a given dataset, and another asks what value must be added to keep the mean unchanged.",{"name":70,"@type":61,"acceptedAnswer":71},"What types of geometry problems appear in the set?",{"text":72,"@type":64},"The set includes circle parameter finding, tangent line equation determination, slope of a line perpendicular to another line through given points, and questions about areas related to right triangles, parabolas, and composite shapes.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},143295,1787694264,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":116,"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":80,"read_time":144},4810365810221,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","# Day 3 . Question set .\n\nQ1 . Find cos θ , if sin θ =   \nQ2 . Find the median of the following data set: 20, 8 , 32, 4 , 20,25 .  \nQ3 . A circle with the center at (-3, -2) passes through the points( 0 , -6) and (a, 0 ) . Find the value of a .  \nQ4 .  \nQ5 . The mean of a certain data set is 17 . What value of x shouldbe added to the data set to maintain its mean value?  \nQ6 . If the fourth and sixth terms of a geometric progression are  \n4 and 36, find the fifth term of the progression.  \nQ7 . For a standard 6-sided die, what is the probability of rollingan even number?  \nQ8 . Solve the equation: log2 (x) + log4 (x + 1 )2 = log2 30  \nQ9 . Find the slope of a line perpindicular to another line thatpasses through the points (–9, 2 ) and (1 , 10)  \nQ10 .  \nFind x  \nQ11 . Find the height of a right triangle whose perimeter is equalto 60 cm and its area is equal to 150 square cm.  \nQ12 . Find the equation of a line tangent at ( 0 , 2 ) to the circle(x + 2 )2 + (y + 1 )2 = 13 .  \nQ13 . If cos θ =  , find sin 2θ .  \nQ14 . If x is addedto the data set 3 , 7 , 10, 15, 20, andthe meandoesn't change, what is the value of x?  \nQ15 . In a certain geometric sequence, the 3rd term is 27 andthe6this 729 . In another geometric sequence, sharing the firsttermwith the first progression, the common ratio is  of the firstsequence's one . Find the sum of all the terms in the secondprogression.  \nQ16 . Find the equation of the parabola that has two xintercepts at (−2, 0 ) and (3 , 0 ) and passes through thepoint ( 5 , 10) .  \nQ17 .  \nQ18 . Atthe smoothie stand, a customer can choose any 3distinct fruit options from a list of 6 fruits at a discounted price .However, the stand's blender cannot handle both pineapple andfiber-rich mango atthe sametime, so a customer cannot choosea combination that contains both of these fruits . How manydifferent 3-fruits combinations are available to them?  \nQ19 . Find the constants a and b so that all the 4 lines whoseequation are given below pass through the same point:  \nx + y = −1−x + 3y = −11ax + by = 42ax − by = 2  \nQ20 . When the P(x) = x3 + 3x2 − 2Ax + 3 , where A is aconstant, is divided by x2 + 1 , the resulting remainder is 5x.  \nFind the value of A.  \nQ21 . Find the area of the following shape .  \n8 2  \n   \n120°  \n   \n122  \nQ22 . The number of pupils in school A is equal to half thenumber of pupils in school B. The ratio of the boys in school Aandthe boys in school B is 1 : 3andthe ratio of the girls in schoolA andthe girls in school B is 3 : 5 . The number of boys in schoolB is 200 higher than the number of boys in school A. Find thenumber of boys and girls in each school.  \nQ23 .  \nQ24 . It takes pump A 2 hours less time than pump B to empty aswimming pool. Pump A is started at 8 : 00 a .m. and pump B isstarted at 10: 00 a .m. At 12: 00 p.m. 60% of the pool is emptywhen pump B broke down. How much time after 12: 00 p.m.would it take pump A to empty the pool?  \nQ25 .  \nFind the square's area .  \nQ26 . Solve the following equation for x:x2 − 3 ∣x − 2∣ − 4x = −6 .  \nQ27 . Work out the ratio of x to y  \nQ28 . Work out the ratio of the green region's area to that of theblue one .","cbCaig24zGhFN3YH","https://ap.wps.com/l/cbCaig24zGhFN3YH","pdf",596608,"English","# Day 3 - Question Set","[{\"question\":\"What topics are covered in the Day 3 question set?\",\"answer\":\"It covers trigonometry, statistics (median and mean), coordinate geometry (circles, tangents, perpendicular slopes), probability, logarithms, algebraic equations, geometric progressions, and some applied combinatorics and geometry problems.\"},{\"question\":\"How do the questions use the mean and median concepts?\",\"answer\":\"One question asks for the median of a given dataset, and another asks what value must be added to keep the mean unchanged.\"},{\"question\":\"What types of geometry problems appear in the set?\",\"answer\":\"The set includes circle parameter finding, tangent line equation determination, slope of a line perpendicular to another line through given points, and questions about areas related to right triangles, parabolas, and composite shapes.\"}]","Day 3 - Question Set | PDF",23]