[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-204063-105":59,"doc-detail-204063-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","ftd-rrb-ntpc-cbt-i-explanations-12012025","FTD-RRB-NTPC (CBT-I) EXPLANATIONS - 12.01.2025","","Answer keys and detailed explanations for CBT-I style multiple-choice questions, covering topics such as mirror-image reasoning, coded word/letter patterns, numeric relationships, HCF/LCM-based problems, percentage and ratio calculations, sequence completion, and assumption-based reasoning. Includes step-by-step logic for selecting the correct option, including algebraic transformations, number-theory derivations, and interpretation of statements. Designed for revision and performance improvement through solution breakdowns.",{"@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/ftd-rrb-ntpc-cbt-i-explanations-12012025/204063/",{"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/ftd-rrb-ntpc-cbt-i-explanations-12012025/204063.png","ImageObject",300,407,{"name":92,"@type":93},"Lute","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-08","2026-09-05",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What sections are included in the document?","Question",{"text":113,"@type":114},"The document contains an ANSWER KEYS section followed by an EXPLANATIONS section with step-by-step solution notes for each question.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the correct options determined in the explanations?",{"text":118,"@type":114},"Each explanation applies the relevant method (e.g., algebra, number theory, coding/pattern rules, ratios/percentages, or logical inference) and shows how the computed result matches the stated correct choice.",{"name":120,"@type":111,"acceptedAnswer":121},"Which types of questions are covered?",{"text":122,"@type":114},"The content includes reasoning problems like mirror-image and assumption-based questions, pattern/coding letter tasks, and quantitative problems involving sequences, HCF/LCM, ratios, and percentages.","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},204063,1788568769,{"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":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":144},137454149569,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","ANSWER KEYS  \n1 c 26 b 51 d 76 b  \n2 d 27 c 52 c 77 c  \n3 c 28 c 53 a 78 c  \n4 b 29 b 54 c 79 b  \n5 a 30 d 55 a 80 b  \n6 a 31 d 56 a 81 b  \n7 b 32 c 57 c 82 d  \n8 d 33 d 58 b 83 a  \n9 c 34 a 59 c 84 d  \n10 c 35 d 60 a 85 b  \n11 a 36 b 61 c 86 c  \n12 c 37 c 62 a 87 d  \n13 b 38 c 63 d 88 b  \n14 b 39 a 64 b 89 c  \n15 b 40 b 65 a 90 d  \n16 b 41 d 66 d 91 b  \n17 c 42 a 67 b 92 c  \n18 c 43 c 68 b 93 a  \n19 d 44 d 69 c 94 b  \n20 c 45 d 70 d 95 d  \n21 b 46 b 71 b 96 c  \n22 c 47 d 72 a 97 c  \n23 c 48 d 73 b 98 a  \n24 a 49 d 74 c 99 d  \n25 c 50 c 75 c 100 a  \nEXPLANATIONS  \n1. c  \n2. d  \n3. c  \n4. b  \n5. a  \n6. a; The correct mirror image is given in option IV.  \n7. b;  \nOnly conclusion II follows 8. d;  \n\n| T | E | M | P | E | R | A | T | U | R | E |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\n1st, 2nd, 4th, 6th, 9th, letters are T, E, P, R, USo, the meaningful word formed is ERUPT. So, the first letter from the left end is E.  \n9. c; B was taller than only 2 other persons:   >   \n>B >   >   \nC was taller than B but shorter than A: A > C > B>  >   \nD was not the shortest:  \nThus, the final sequence is as follows:  \nA > C > B > D > E  \n10. c; Their codes are:  \nWonder shine little= prqgqpsnt  \nShine fine gone= klpmonsnt  \nFine little hit= nokklpgqp,  \nShine=snt, Fine=klp, gone=mon  \nHence, option 3.  \n11. a; 3000 = 3 × 1000 = 3 × 103  \nClearly, when we divided 3000 by natural number 3, the quotient is 1000 which is a perfect cube.  \n12. c; 0.142857􀁹 0 .285714  \n142857  285714  112857  1  \n= 􀁹 = = 999999 999999 285714 2  \n13. b; 2 = 1.414(Given) Now, 2 −1 = (2 −1)2  \n2 + 1  \n 2 −1 = (2 −1)2  = 2 −1  \n 2 + 1 = 1.414 = 0.414  \n14. b; 1(.70535 + 􀀾0.75 + (0 .75)2 􀁵1+ 1􀁀= (0 .75)3 + (1− 0 .75)􀀾(0 .75)2 + 0 .75􀁵1+ 12 􀁀  \n1− 0 .75  \n(0 75)3 + 13 − (0 75)3 1 100  \n= ~~ ~~.~~ ~~.~~ ~~ = ~~ ~~ = ~~ ~~ = 4  \n0.25 0.25 25  \n15. b; The least number of 5 digits = 10000 243  \n41 10000  \n82  \n\n| 180\u003Cbr>164 |\n| --- |\n| 160\u003Cbr>123 |\n\n37  \nRequired number = 10000 + (41-37) = 10004  \n16. b  \n17. c  \n18. c  \n19. d  \n20. c  \n21. b; C5\u003CC2>C6=C1≤C4=C3 C3≥C1 is true  \nC6≥C4 is false  \nHence option 2 is the answer  \n22. c; 7 6 3 1 2 6 4 8 2 7 9 5 3 1 8 4 9 5 7 1 4 8 5 6 9  \n2 3  \nThere are two such 2's which are followed by a number greater than 5.  \n(23-25)  \n23. c;  \n24. a;  \n25. c;  \n26. b; HCF of two numbers = 27  \nLet the numbers be 27x and 27y where x and yare prime to each other.  \nAccording to the question,  \n27x + 27y = 216  \nPossible pairs of x and y = (1, 7) and (3, 5)  \n27. c; Let the numbers be 17x and 17y where x andy are co primes  \nLCM of 17x and 17y = 17xy  \nAccording to the question  \n17xy = 714  \nOr, x = 7, y = 6  \nFirst number = 17x = 17 × 6 = 102  \nSecond number = 17y = 17 × 7 = 119  \nSum of the numbers = 102 + 119 = 221  \n28. c; Required percentage =  \n29. b; Let Rama’s expenditure = Rs 5x Savings = Rs 3x  \nRama’s income = 5x + 3x = Rs 8x  \nAfter increase,  \nRama’s income =  \nRama’s expenditure =  \nRama’s savings = Rs (8 .96 x – 5 .75x) = Rs 3. 21x Rama’s saving percent =  \n30. d; Last number = 30 × 12 –(20 × 11 +9 × 10)= 360 –(220 + 90) = 360 – 310 = 50  \n31. d  \n32. c  \n33. d  \n34. a  \n35. d  \n36. b;  \n\n| B | E | N | C | H | M | A | R | K | S |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2 | 5 | 14 | 3 | 8 | 13 | 1 | 18 | 11 | 19 |\n\nThe pairs are: EC, EH  \nHence 2 such pairs.  \n37. c; If we take the position values of the alphabets where A=1, B=2 and so on till Z=26 then the position value of 1st alphabet is 3 more than the position value of the 2nd alphabet.  \nE(5) B(2)  \nJ(10) G(7)  \nK(11) N(14)  \nR(18) O(15)  \n38. c;  \nTherefore, the missing term should be 80.  \nHence, option C is the correct answer.  \n39. a; The equation will be: 21÷3x12+9=93 7x12+9=93  \n84+9= 93  \nHence, option A is the correct answer  \n40. b; In statement number of cases of alcohol poisoning are referred not the extent of alcohol consumption. Thus, assumption I is not implicit.  \nStatement indicates that in rural areas low","cbCaim9zBNT1h072","https://ap.wps.com/l/cbCaim9zBNT1h072","pdf",352085,"English","# ANSWER KEYS\n# EXPLANATIONS\n## Solution steps by question number","[{\"question\":\"What sections are included in the document?\",\"answer\":\"The document contains an ANSWER KEYS section followed by an EXPLANATIONS section with step-by-step solution notes for each question.\"},{\"question\":\"How are the correct options determined in the explanations?\",\"answer\":\"Each explanation applies the relevant method (e.g., algebra, number theory, coding/pattern rules, ratios/percentages, or logical inference) and shows how the computed result matches the stated correct choice.\"},{\"question\":\"Which types of questions are covered?\",\"answer\":\"The content includes reasoning problems like mirror-image and assumption-based questions, pattern/coding letter tasks, and quantitative problems involving sequences, HCF/LCM, ratios, and percentages.\"}]","FTD-RRB-NTPC (CBT-I) EXPLANATIONS - 12.01.2025 | PDF",15]