[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-116007-en":3,"doc-seo-116007-105":31,"detail-sidebar-cat-0-en-105":92},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":28,"seo_description":14,"update_tm":29,"read_time":30},116007,962085564549,"Genevieve","https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45",4,"Exam","Mathematics Today - June 2026 - Volume 44 No. 6","Mathematics Today (Volume 44, No. 6, June 2026) provides a structured mathematics practice and assessment segment under “Competition Edge”, featuring solved question sets and topic-wise sections. The issue includes an organized listing of mathematics themes such as Sets, Relations and Functions, Trigonometric and Inverse Trigonometric Functions, Relations and Functions, and Quantitative Aptitude, along with engagement elements like Quiz Club, Brain Teaser, GK Corner, and “You Ask We Answer”. It also contains Section-A multiple choice questions with worked problem statements.","Whitevox   \nDisclaimer : The content available in MTG digital/physical books is intellectual property of MTG Learning Media Pvt Ltd. Paid content on this website after purchase is not entitled for free distribution on whatsapp, telegram, twitter, facebook, and all other social media and digital channels. The registered owner/admin/ individual of any digital channel will be liable for an infringement of the copyright for illegally using the material / copyrighted content of MTG Learning Media Pvt Ltd.  \nSubscribe online at [www.mtg.in](www.mtg.in)  \n\n| SUBSCRIPTION PLAN |  |  |  |  |\n| --- | --- | --- | --- | --- |\n| Subject | Format | 1 Year | 2 Years | 3 Years |\n| Individual\u003Cbr>Physics  Chemistry\u003Cbr>Mathematics  Biology | Print issue | `749/ - | `1349/ - | `1799/ - |\n|  | Print + Digital | `1150/ - | `1850/ - | `2400/ - |\n| Combo of 3 Magazines\u003Cbr>Physics, Chemistry, Biology\u003Cbr>Physics, Chemistry, Mathematics | Print issue | `2200/ - | `4000/ - | `5400/ - |\n|  | Print + Digital | `3000/ - | `5000/ - | `6600/ - |\n| Combo of 4 Magazines\u003Cbr>Physics, Chemistry, Mathematics, Biology | Print issue | `2800/ - | `5200/ - | `6300/ - |\n|  | Print + Digital | `3800/ - | `6399/ - | `7800/ - |\n| Courier Charges\u003Cbr>Add to your subscription amount for quicker & traceable delivery |  | `800/ - | `960/ - | `1440/ - |\n\nPrinted and Published by Mahabir Singh on behalf of MTG Learning Media Pvt. Ltd. Printed at HT Media Ltd., B-2, Sector-63, Noida, UP-201307 and published at 406, Taj Apartment, Ring Road, Near Safdarjung Hospital, New Delhi-110029. Editor : Anil Ahlawat  \nReaders are advised to make appropriate thorough enquiries before acting upon any advertisement published in this magazine. Focus/ Infocus features are marketing incentives. MTG does not vouch or subscribe to the claims and representations made by advertisers. All disputes are subject to Delhi jurisdiction only.  \nCopyright© MTG Learning Media (P) Ltd.  \nAll rights reserved. Reproduction in any form is prohibited.  \nVOLUME 44 No. 6 June 2026  \n\n|  | \u003Cbr> |\n| --- | --- |\n\nCompetition Edge  \nJEE Main Solved Paper 2026 9  \n[Session 2, 2nd April (Morning Shift)]  \nNDA & NA (I) Solved Paper 2026 16 Karnataka CET Solved Paper 2026 28 KEAM Engineering Solved Paper 2026 36 Maths in Focus 47  \nSets, Relations and Functions  \nConcept Map 50  \nSets, Relations and Functions  \nChallenging Problems 55 Beat the Time Trap 58 Quantitative Aptitude 81 Quiz Club 84  \nInfinite Learning 85  \nBrain Teaser 86  \nGK Corner 90  \nYou Ask We Answer 92  \nClass 11 CBSE Warm-up! 61  \nTrigonometric Functions  \nMonthly Test Drive 69  \nRelations and Functions  \nClass 12 CBSE Warm-up! 71  \nInverse Trigonometric Functions  \nMonthly Test Drive 79  \nInverse Trigonometric Functions  \nMATHEMATICS TODAY |   7  \n8  MATHEMATICS TODAY |   \nHeld on  \n2nd April, Morning Shift  \n(Session-2)  \nSECTION-A (MULTIPLE CHOICE QUESTIONS)   \n1. Let a, a + 2, a ∈ Z, be the roots of the quadratic equation x(x + 2) + (x + 1)(x + 3) + (x + 2)(x + 4) + ....(x + n – 1) (x + n + 1) = 4n for some n ∈ Z. Then n + ais equal to  \n(a) 0 (b) 1 (c) 2 (d) 3  \n2. Let x and y be real numbers such that 50 ⎜1x3i − 1~~ ~~2i ⎟ = 31 + 17i, i = −1. Then the value of 10(x – 3y) is :  \n(a) 20 (b) 31 (c) 35 (d) 75  \n3. Let a, b ∈ R be such that the system of linear equations  \nx + 2y + z = 5  \n2x + y + az = 5  \n8x + 4y + bz = 18  \nhas no solution. Then  is equal to :  \n(a) –4 (b) 4 (c) 8 (d) –8  \n⎡1 2 ⎤ ⎡ 3 3⎤  \n4. Let A = ⎣⎢ 1 α⎦⎥ and B = ⎣⎢ β 2⎦⎥ . IfA2 – 4A + I = O and B2 – 5B – 6I = O, then among the two statements :(S1) : [(B – A)(B + A)]T = ⎡⎣⎢ 137 1510⎥ and  \n(S2) : det(adj(A + B)) = –5,(a) Only (S1) is correct  \n(b) Only (S2) is correct (c) Both (S1) and (S2) are correct (d) Both (S1) and (S2) are wrong  \n5. Let A be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let Bbe the set of first 71 terms of an A.P., whose first term is  \n9 and the common difference is 7. Then the number of elements in A ∩ B, w","cbCaioLNMlX7SgLe","https://ap.wps.com/l/cbCaioLNMlX7SgLe","pdf",8203812,9,1,101,"English","en",105,"# Competition Edge\n## Sets, Relations and Functions\n## Trigonometric Functions\n## Relations and Functions\n## Inverse Trigonometric Functions\n## Quantitative Aptitude\n## Quiz Club\n## Infinite Learning\n## Brain Teaser\n## GK Corner\n## You Ask We Answer\n## Section-A (Multiple Choice Questions)","[{\"question\":\"What is the issue identification for Mathematics Today in this document?\",\"answer\":\"The document is labeled Volume 44 No. 6 and corresponds to June 2026.\"},{\"question\":\"Which solved-paper competitions are referenced in the “Competition Edge” section?\",\"answer\":\"It references JEE Main Solved Paper 2026 (Session 2, 2nd April Morning Shift) and also includes NDA \\u0026 NA (I), Karnataka CET, and KEAM Engineering solved papers.\"},{\"question\":\"What type of questions are included in Section-A?\",\"answer\":\"Section-A consists of multiple choice questions, with problems from algebra, sets/functions, complex numbers, matrices, and related topics.\"}]","Mathematics Today - June 2026 - Volume 44 No. 6 | PDF",1785479572,255,{"code":4,"msg":32,"data":33},"ok",{"site_id":25,"language":24,"slug":34,"title":13,"keywords":35,"description":14,"schema_data":36,"social_meta":87,"head_meta":89,"extra_data":91,"updated_unix":29},"mathematics-today-june-2026-volume-44-no-6","",{"@graph":37,"@context":86},[38,54,69],{"@type":39,"itemListElement":40},"BreadcrumbList",[41,45,49,52],{"item":42,"name":43,"@type":44,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":46,"name":47,"@type":44,"position":48},"https://docshare.wps.com/document/","Document",2,{"item":50,"name":12,"@type":44,"position":51},"https://docshare.wps.com/document/exam/",3,{"item":53,"name":13,"@type":44,"position":11},"https://docshare.wps.com/document/mathematics-today-june-2026-volume-44-no-6/116007/",{"url":53,"name":13,"@type":55,"author":56,"headline":13,"publisher":58,"fileFormat":61,"inLanguage":24,"description":14,"dateModified":62,"datePublished":63,"encodingFormat":61,"isAccessibleForFree":64,"interactionStatistic":65},"DigitalDocument",{"name":9,"@type":57},"Person",{"url":42,"name":59,"@type":60},"DocShare","Organization","application/pdf","2026-08-23","2026-07-31",true,{"@type":66,"interactionType":67,"userInteractionCount":20},"InteractionCounter",{"@type":68},"ViewAction",{"@type":70,"mainEntity":71},"FAQPage",[72,78,82],{"name":73,"@type":74,"acceptedAnswer":75},"What is the issue identification for Mathematics Today in this document?","Question",{"text":76,"@type":77},"The document is labeled Volume 44 No. 6 and corresponds to June 2026.","Answer",{"name":79,"@type":74,"acceptedAnswer":80},"Which solved-paper competitions are referenced in the “Competition Edge” section?",{"text":81,"@type":77},"It references JEE Main Solved Paper 2026 (Session 2, 2nd April Morning Shift) and also includes NDA & NA (I), Karnataka CET, and KEAM Engineering solved papers.",{"name":83,"@type":74,"acceptedAnswer":84},"What type of questions are included in Section-A?",{"text":85,"@type":77},"Section-A consists of multiple choice questions, with problems from algebra, sets/functions, complex numbers, matrices, and related topics.","https://schema.org",{"og:url":53,"og:type":88,"og:title":13,"og:site_name":59,"og:description":14},"article",{"robots":90,"canonical":53},"index,follow",{"doc_id":7,"site_id":25},{"code":4,"msg":5,"data":93},[94,98,102,105,110,115,120,125,129,132,136],{"id":21,"doc_module":4,"doc_module_name":47,"category_name":95,"show_sort_weight":96,"slug":97},"Story & Novel",90,"story-novel",{"id":48,"doc_module":4,"doc_module_name":47,"category_name":99,"show_sort_weight":100,"slug":101},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":47,"category_name":12,"show_sort_weight":103,"slug":104},70,"exam",{"id":106,"doc_module":4,"doc_module_name":47,"category_name":107,"show_sort_weight":108,"slug":109},5,"Comic",60,"comic",{"id":111,"doc_module":4,"doc_module_name":47,"category_name":112,"show_sort_weight":113,"slug":114},6,"Technology",50,"technology",{"id":116,"doc_module":4,"doc_module_name":47,"category_name":117,"show_sort_weight":118,"slug":119},7,"Healthcare",40,"healthcare",{"id":121,"doc_module":4,"doc_module_name":47,"category_name":122,"show_sort_weight":123,"slug":124},8,"Research & Report",30,"research-report",{"id":20,"doc_module":4,"doc_module_name":47,"category_name":126,"show_sort_weight":127,"slug":128},"Religion & Spirituality",20,"religion-spirituality",{"id":127,"doc_module":4,"doc_module_name":47,"category_name":130,"show_sort_weight":127,"slug":131},"World Cup","world-cup",{"id":133,"doc_module":4,"doc_module_name":47,"category_name":134,"show_sort_weight":133,"slug":135},10,"Lifestyle","lifestyle",{"id":137,"doc_module":4,"doc_module_name":47,"category_name":138,"show_sort_weight":106,"slug":139},19,"General","general"]