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The content includes a large answer table mapping question numbers to selected choices (e.g., A–D), followed by worked explanations for several items. Explanations cover number theory and arithmetic reasoning such as LCM and remainders, digit properties of divisibility, cyclicity patterns in powers, and algebraic setup using place values and equation solving, concluding with the correct option for each case where detailed solutions are provided.",{"@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/pk-7-open-csat-test-answer-key-workbook/319475/",{"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/pk-7-open-csat-test-answer-key-workbook/319475.png","ImageObject",300,407,{"name":92,"@type":93},"River Wang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What information does the workbook provide for the PK 7 Open CSAT test?","Question",{"text":113,"@type":114},"It provides an answer key table mapping each question number to the correct option, along with worked explanations for multiple questions.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the correct answers justified in the detailed sections?",{"text":118,"@type":114},"The solutions use step-by-step arithmetic and number theory, such as LCM/remainder calculations, digit-sum divisibility checks, and place-value algebra to derive the required result.",{"name":120,"@type":111,"acceptedAnswer":121},"Do the answers use multiple-choice options?",{"text":122,"@type":114},"Yes. Each question is matched to an option (A, B, C, or D), and the detailed explanations conclude by identifying the correct option.","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},319475,1790193556,{"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":145,"read_time":26,"preview_page_count":4},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","CSAT OPEN TEST  \nANSWER KEY WORKBOOK  \n\n| 1 | B | 21 | D | 41 | D | 61 | B |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 2 | C | 22 | B | 42 | B | 62 | C |\n| 3 | A | 23 | D | 43 | C | 63 | B |\n| 4 | C | 24 | A | 44 | A | 64 | D |\n| 5 | A | 25 | B | 45 | D | 65 | D |\n| 6 | C | 26 | D | 46 | A | 66 | A |\n| 7 | B | 27 | B | 47 | A | 67 | D |\n| 8 | B | 28 | D | 48 | C | 68 | A |\n| 9 | D | 29 | C | 49 | C | 69 | D |\n| 10 | A | 30 | B | 50 | C | 70 | C |\n| 11 | C | 31 | B | 51 | C | 71 | C |\n| 12 | D | 32 | B | 52 | A | 72 | D |\n| 13 | D | 33 | D | 53 | C | 73 | B |\n| 14 | A | 34 | C | 54 | B | 74 | D |\n| 15 | D | 35 | A | 55 | C | 75 | C |\n| 16 | B | 36 | B | 56 | B | 76 | A |\n| 17 | C | 37 | B | 57 | C | 77 | C |\n| 18 | B | 38 | C | 58 | B | 78 | A |\n| 19 | A | 39 | D | 59 | D | 79 | D |\n| 20 | C | 40 | A | 60 | C | 80 | B |\n\n1. (b)  \nRegarding statement I:  \nLCM (6, 12, 15, 24) = 120  \nGreatest 5-digit number = 99999  \nSo, on dividing by 120, we get remainder as 39  \nSo, required value = 99999 – 39 – 4 = 99956 not 99950.  \nSo statement 1 is incorrect.  \nRegarding statement II:  \nStatement II is correct as 100011 when divided by 111 gives quotient 901, thus divisible and 100011 happens to be the smallest 6-digit number being divisible as such by 111.  \n2. (c)  \nRegarding statement I:  \nSingle digit prime numbers are 2, 3, 5, 7  \nLargest 4-digit number formed = 7532  \nand smallest 4-digit number formed = 2357  \nHence, Required sum = 7532 + 2357 = 9889  \nStatement I is correct.  \nRegarding statement II:  \nOn multiplying last three digits, we get 345 × 789 = 272205  \nStatement II is also correct.  \nBoth the statements are correct. Option (c) is correct.  \n3. (a)  \nFind the cyclicity of 2,3,4 and 5  \nCyclicity of 2 is 4. Thus, the digit at the unit place of 2333 will be 2  \nCyclicity of 3 is 4. Thus, the digit at the unit place of 3444 will be 1  \nCyclicity of 4 is 2. In case the of 4, 4 to the power odd unit place will be 4, 4 to the power even number, unit place will be 6. Here it is 4555 , that is 4 to the power odd, hence unit place will be 4.  \n5 to the power any number unit place will be 5 itself.  \nUnit place digit the total sum will be 2 + 1 + 4 + 5 = 12 where the unit place will be 2 and 1 will carry over. Any number ending with 2 when dividing by 2 the remainder will be zero.  \nHence correct answer is option (a) , zero.  \n4. (c)  \nThe person buys 1 kg from each location at different rates per Rs.1000 . The cost of 1 kg at each place: Place A: Rs.1000 for 1 kg, Cost = Rs.1000  \nPlace B: Rs.1000 for 2 kg, Cost = Rs.1000/2 = Rs.500  \nPlace C: Rs.1000 for 4 kg, Cost = Rs.1000 = 1000/4 = Rs.250  \nPlace D: Rs.1000 for 5 kg, Cost = Rs.1000 = 1000/5 = Rs.200  \nTotal quantity purchased = 1 + 1+ 1 + 1 = 4 kg  \nTotal expenditure = 1000 + 500 + 250 + 200 = Rs.1950  \nThe value x represents the average quantity purchased for every Rs.1000 spent.  \nx = (Total quantity/Total cost) x 1000  \nx = (4 /1950) x 1000 = 4000/1950 = 2.05  \n5. (a)  \nRegarding statement I:  \nA number is divisible by 9 if and only if the sum of its digits is divisible by 9  \nCalculating the sum of the known digits:  \n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36  \nThe sum of all digits in N is 36 + A + B  \nSince 36 is already divisible by 9 (36/9 =4) . , the total sum 36 + ( A +B) will be divisible by 9 if and only if (A + B) is divisible by 9.  \nHence Statement I is correct  \nRegarding statement II  \nStatement II claims that \"If A is odd, then B is odd\" .  \nWe can test this by looking for a counter example where A is odd and (A + B) is a multiple of 9.  \nIf we let A = 1 (an odd digit),  \nthen for A + B to be divisible by 9, B must be 8 (since 1 + 8 = 9)  \nIn this case A is odd but B is even  \nThus, statement II is incorrect because B does not have to be odd if A is odd.  \nTherefore, correct answer is option (a)  \n6. (c)  \n7. (b)  \n8. (b)  \nLet the 3-digit numbers be represented by their place place values: XYZ = 100X + 10Y + Z  \nYXZ = 100Y + 10X + Z  \nGiven that the diff","cbCaieqlpRecbduo","https://ap.wps.com/l/cbCaieqlpRecbduo","pdf",669594,24,"English","# Answer Table\n## Detailed Question Solutions","[{\"question\":\"What information does the workbook provide for the PK 7 Open CSAT test?\",\"answer\":\"It provides an answer key table mapping each question number to the correct option, along with worked explanations for multiple questions.\"},{\"question\":\"How are the correct answers justified in the detailed sections?\",\"answer\":\"The solutions use step-by-step arithmetic and number theory, such as LCM/remainder calculations, digit-sum divisibility checks, and place-value algebra to derive the required result.\"},{\"question\":\"Do the answers use multiple-choice options?\",\"answer\":\"Yes. Each question is matched to an option (A, B, C, or D), and the detailed explanations conclude by identifying the correct option.\"}]","PK 7 Open CSAT Test - Answer Key Workbook | PDF",1789944309]