{"id":288854,"date":"2025-01-28T11:38:30","date_gmt":"2025-01-28T06:08:30","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?p=288854"},"modified":"2025-01-30T17:57:20","modified_gmt":"2025-01-30T12:27:20","slug":"jee-main-2025-january-28-shift-2-maths-paper-solutions","status":"publish","type":"post","link":"https:\/\/www.aakash.ac.in\/blog\/jee-main-2025-january-28-shift-2-maths-paper-solutions\/","title":{"rendered":"JEE Main 2025 January 28 Shift 2 Maths Paper &#038; Solutions, Difficulty Level, Number of Attempts"},"content":{"rendered":"<p style=\"text-align: justify;\">The JEE Main 2025 January session is an important milestone for aspirants aiming to secure admission into top engineering institutes across India. With January 28 Shift 2 Maths Paper conducted smoothly, students and educators alike are keen to understand the difficulty level, question trends, and strategies for future shifts. This article provides a detailed analysis of the JEE Main 2025 January 28 Shift 2 Maths Paper, covering key insights, solutions, and helpful tips for aspirants.<\/p>\n<div class=\"jeg_video_container jeg_video_content\"><iframe loading=\"lazy\" title=\"JEE MAIN 2025 | Live Paper Discussion &amp; Solutions | Memory Based Questions -  (Phase 1) Shift 2 \ud83d\udd25\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/pq7FURTsPik?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<h2><a href=\"https:\/\/www.aakash.ac.in\/jee-mains-answers-key-solutions\" data-wpel-link=\"exclude\" data-cke-saved-href=\"https:\/\/www.aakash.ac.in\/jee-mains-answers-key-solutions\">JEE Main Answer Key Solutions 2025 Session 1 \u2013 Download PDF for All Subjects<\/a><\/h2>\n<table class=\" cke_show_border\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<th>JEE Main 2025 Exam Dates<\/th>\n<th>JEE Main 2025 Shift 1 Answer Key and Solutions<\/th>\n<th>JEE Main 2025 Shift 2 Answer Key and Solutions<\/th>\n<\/tr>\n<tr>\n<td>JEE Main 22 January 2025<\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_22-01-2025_Mor.pdf\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_22-01-2025_Mor.pdf\">JEE Main 2025 Shift 1 Answer Key PDF Live<\/a><\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_22-01-2025_Eve_revised.pdf\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_22-01-2025_Eve_revised.pdf\">JEE Main 22 January Shift 2\u00a0 PDF Download\u00a0<\/a><\/td>\n<\/tr>\n<tr>\n<td>JEE Main 23 January 2025<\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_23-01-2025_Mor.pdf\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_23-01-2025_Mor.pdf\">JEE Main 23 January Shift 1 PDF Download\u00a02025<\/a><\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_23-01-2025_Eve.pdf\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_23-01-2025_Eve.pdf\">JEE Main 23 January Shift 2 Download PDF<\/a><\/td>\n<\/tr>\n<tr>\n<td>JEE Main 24 January 2025<\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_24-01-2025_Mor.pdf?rcLGItFaJhma3DWZUbZn01gV.1uHraVC\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_24-01-2025_Mor.pdf?rcLGItFaJhma3DWZUbZn01gV.1uHraVC\">JEE Main 24 January Shift 1 PDF Download<\/a><\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/JEE%20Main%202025%20January%2024%20Shift%202%20%20Download%20PDF%202025%20%28Live%29.pdf?YF0X69qSr9vigiUi7uOrEov1t76VjXM4\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/JEE%20Main%202025%20January%2024%20Shift%202%20%20Download%20PDF%202025%20%28Live%29.pdf?YF0X69qSr9vigiUi7uOrEov1t76VjXM4\">JEE Main 24 January Shift 2 PDF Download<\/a><\/td>\n<\/tr>\n<tr>\n<td>JEE Main 28 January 2025<\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_28-01-2025_Mor.pdf?wfH.tgMAhMVCP0C.gC0Wm7qpLzg6U.qN\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Answers-and-Solutions_JEE_Main-2025_Ph-1_28-01-2025_Mor.pdf?wfH.tgMAhMVCP0C.gC0Wm7qpLzg6U.qN\">JEE Main 2025 January 28 Shift 1 Download PDF<\/a><\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Ans%20%26%20Sol_JEE%28Main%29-2025_Phase-1_%2828-01-2025%29_Evening.pdf?wBLAD9APq4hmDcoL2_w0gsQm2vQlcdeV\" target=\"_blank\" rel=\"noopener\">JEE Main 2025 January 28 Shift 2 Download PDF<\/a><\/td>\n<\/tr>\n<tr>\n<td>JEE Main 29 January 2025<\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Ans-and-Sol_JEE_Main-2025_Phase-1_29-01-2025_Morning.pdf\" target=\"_blank\" rel=\"noopener\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Ans-and-Sol_JEE_Main-2025_Phase-1_29-01-2025_Morning.pdf\">JEE Main 2025 Jan 29 Shift 1 Download PDF<\/a><\/td>\n<td><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Ans%20%26%20Sol_JEE%28Main%29-2025_Phase-1_%2829-01-2025%29_Evening.pdf?tR7icgeLoDVL0RiM6m1L8HB6WHHbMmIx\" data-cke-saved-href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/Ans%20%26%20Sol_JEE%28Main%29-2025_Phase-1_%2829-01-2025%29_Evening.pdf?tR7icgeLoDVL0RiM6m1L8HB6WHHbMmIx\">JEE Main 2025 Jan 29 Shift 2 Download PDF\u00a0<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><strong>JEE Main 2025 Paper Analysis &amp; Discussion\u00a0by Aakash for Session 1 (Memory Based)<\/strong><\/h2>\n<table class=\" cke_show_border\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<th>JEE Main 2025 Exam Dates<\/th>\n<th>JEE Main 2025Shift 1 Answer Key and Solutions<\/th>\n<th>JEE Main 2025 Shift 2 Answer Key and Solutions<\/th>\n<\/tr>\n<tr>\n<td>JEE Main 22 January 2025<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/e-h1NaHyc4o\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/e-h1NaHyc4o\">Watch Online<\/a>\u00a0(Live at 12:30 PM)<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/hsKfshirhjA\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/hsKfshirhjA\">Watch Online<\/a>\u00a0(Live at 6:30 PM)<\/td>\n<\/tr>\n<tr>\n<td>JEE Main 23 January 2025<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/eJgtAQsJkv4\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/eJgtAQsJkv4\">Watch Online<\/a>\u00a0(Live at 12:30 PM)<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/CscY23nUrCg\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/CscY23nUrCg\">Watch Online<\/a>\u00a0(Live at 6:30 PM)<\/td>\n<\/tr>\n<tr>\n<td>JEE Main 24 January 2025<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/Tfm3x3u3bt8\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/Tfm3x3u3bt8\">Watch Online<\/a>\u00a0(Live at 12:30 PM)<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/p4WDGbrenTk\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/p4WDGbrenTk\">Watch Online<\/a>\u00a0(Live at 6:30 PM)<\/td>\n<\/tr>\n<tr>\n<td>JEE Main 28 January 2025<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/3bcmvJ78F-E\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/3bcmvJ78F-E\">Watch Online<\/a>\u00a0(Live at 12:30 PM)<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/pq7FURTsPik\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/pq7FURTsPik\">Watch Online<\/a>\u00a0(Live at 6:30 PM)<\/td>\n<\/tr>\n<tr>\n<td>JEE Main 29 January 2025<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/ALPB0hnxyk8\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/ALPB0hnxyk8\">Watch Online<\/a>\u00a0(Live at 12:30 PM)<\/td>\n<td><a href=\"https:\/\/www.youtube.com\/live\/COI7Fnr5_Nk\" data-cke-saved-href=\"https:\/\/www.youtube.com\/live\/COI7Fnr5_Nk\">Watch Online<\/a>\u00a0(Live at 6:30 PM)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><strong>JEE Main 2025 January 28 Shift 2 Maths Paper Difficulty Level<\/strong><\/h2>\n<p style=\"text-align: justify;\">The JEE Main 2025 January 28 Shift 2 Maths Paper was assessed as <strong>moderate<\/strong> to <strong>difficult<\/strong>. While some questions were straightforward, others required deep conceptual understanding and problem-solving skills. Topics like Algebra, Calculus, and Coordinate Geometry were predominant, testing the ability of students to apply theoretical concepts practically.<\/p>\n<h2 style=\"text-align: justify;\"><strong>JEE Main 2025 January 28 Shift 2 Maths Paper &amp; Solutions PDF Download Link<\/strong><\/h2>\n<p style=\"text-align: justify;\">After the conclusion of the JEE Main 2025 January 28 Shift 2 examination, Aakash Institute will provide detailed solutions. These solutions will include step-by-step explanations, making it easier for students to understand the approach required for each question.<\/p>\n<ol style=\"text-align: justify;\">\n<li>Visit the official website of Aakash Institute.<\/li>\n<li>Navigate to the \u201cJEE Main Solutions\u201d section.<\/li>\n<li>Click on \u201cJEE Main 2025 January 28 Shift 2 Mathematics Paper &amp; Solutions.\u201d<\/li>\n<li>Download the PDF and review the detailed explanations.<\/li>\n<\/ol>\n<h3 style=\"text-align: center;\"><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/JEE%20Main%202025%20January%2028%20Shift%202%20Maths%20Download%20PDF%202025.pdf?\" target=\"_blank\" rel=\"noopener\"><strong>JEE Main 2025 January 28 Shift 2 Mathematics Analysis<\/strong><\/a><\/h3>\n<table dir=\"ltr\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" data-sheets-root=\"1\" data-sheets-baot=\"1\">\n<colgroup>\n<col width=\"100\" \/>\n<col width=\"100\" \/>\n<col width=\"100\" \/>\n<col width=\"100\" \/><\/colgroup>\n<tbody>\n<tr>\n<td>Subject<\/td>\n<td>Shift<\/td>\n<td>Date<\/td>\n<td>Download Link<\/td>\n<\/tr>\n<tr>\n<td>JEE Main 2025 January 28 Shift 2 Chemistry<\/td>\n<td>Shift 2 (Afternoon)<\/td>\n<td>January 28, 2025<\/td>\n<td>\n<div>\n<div><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/JEE%20Main%202025%20January%2028%20Shift%202%20Chemistry%20Download%20PDF%202025.pdf?\" target=\"_blank\" rel=\"noopener\"><strong>Download Chemistry Paper<\/strong><\/a><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<tr>\n<td>JEE Main 2025 January 28 Shift 2 Physics<\/td>\n<td>Shift 2 (Afternoon)<\/td>\n<td>January 28, 2025<\/td>\n<td>\n<div>\n<div><a href=\"https:\/\/dcx0p3on5z8dw.cloudfront.net\/Aakash\/s3fs-public\/pdf_management_files\/target_solutions\/JEE%20Main%202025%20January%2028%20Shift%202%20Physics%20Download%20PDF%202025.pdf?\" target=\"_blank\" rel=\"noopener\"><strong>Download Physics Paper<\/strong><\/a><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><strong>JEE Main 2025 January 28 Shift 2 Maths Paper Section-Wise Analysis<\/strong><\/h2>\n<table>\n<thead>\n<tr>\n<th>Section<\/th>\n<th>Number of Questions<\/th>\n<th>Difficulty Level<\/th>\n<th>Average Time Taken<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Algebra<\/td>\n<td>10<\/td>\n<td>Moderate<\/td>\n<td>40 mins<\/td>\n<\/tr>\n<tr>\n<td>Calculus<\/td>\n<td>8<\/td>\n<td>Difficult<\/td>\n<td>45 mins<\/td>\n<\/tr>\n<tr>\n<td>Coordinate Geometry<\/td>\n<td>7<\/td>\n<td>Moderate<\/td>\n<td>35 mins<\/td>\n<\/tr>\n<tr>\n<td>Trigonometry<\/td>\n<td>5<\/td>\n<td>Easy<\/td>\n<td>30 mins<\/td>\n<\/tr>\n<tr>\n<td>Statistics\/Probability<\/td>\n<td>5<\/td>\n<td>Moderate<\/td>\n<td>30 mins<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><strong>JEE Main 2025 January 28 Shift 2 Maths Paper Key Highlights<\/strong><\/h2>\n<ol style=\"text-align: justify;\">\n<li><strong>Algebra<\/strong>: This section was the most extensive, with questions involving complex numbers, quadratic equations, and inequalities. Aspirants needed strong analytical skills to solve them efficiently.<\/li>\n<li><strong>Calculus<\/strong>: Calculus contributed a significant portion of the paper with problems related to differentiation, integration, and limits. These questions were more time-consuming but rewarding when solved correctly.<\/li>\n<li><strong>Coordinate Geometry<\/strong>: This section had questions testing the properties of circles, parabolas, and straight lines. Moderate in difficulty, it required a good understanding of geometric relations.<\/li>\n<li><strong>Trigonometry<\/strong>: Trigonometric identities and applications were focused, with straightforward questions that most students found manageable.<\/li>\n<\/ol>\n<h2 style=\"text-align: justify;\"><strong>Strategies for Future Shifts<\/strong><\/h2>\n<ul style=\"text-align: justify;\">\n<li><strong>Practice<\/strong>: Regular practice of complex topics like Calculus and Algebra can help build confidence.<\/li>\n<li><strong>Time Management<\/strong>: Allocate specific time for each section to avoid rushing through more time-consuming topics.<\/li>\n<li><strong>Mock Tests<\/strong>: Attempting mock tests can provide a realistic examination environment and improve problem-solving skills.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The JEE Main 2025 January 28 Shift 2 Maths Paper was a mix of moderate to difficult questions, with a balanced distribution of topics across Algebra, Calculus, and Geometry. Students who practiced well and had a deep conceptual understanding of key topics were able to attempt the paper effectively. With the right preparation strategy, future shifts can be tackled confidently.<\/p>\n<h2 style=\"text-align: justify;\"><strong>JEE Main 2025 January 28 Shift 2 Maths Paper FAQs<\/strong><\/h2>\n<p style=\"text-align: justify;\">\t\t<div class=\"wp-faq-schema-wrap\">\n\t\t\t\t\t\t<div class=\"wp-faq-schema-items\">\n\t\t\t\t\t\t\t\t\t<h3>What was the difficulty level of JEE Main 2025 January 28 Shift 2 Maths Paper?<\/h3>\n\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<p>The difficulty level of the JEE Main 2025 January 28 Shift 2 Maths Paper was moderate to high. Students found a balanced mix of easy, moderate, and challenging questions.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<h3>How many attempts were available in JEE Main 2025 January 28 Shift 2 Maths Paper?<\/h3>\n\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<p>In the JEE Main 2025 January 28 Shift 2 Maths Paper, candidates had a total of 3 hours to complete the paper, with no restrictions on the number of attempts for individual questions.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<h3>Were there any new or revised topics included in the JEE Main 2025 January 28 Shift 2 Maths Paper?<\/h3>\n\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<p>The paper covered all major topics like Algebra, Coordinate Geometry, Calculus, and Trigonometry. However, some questions focused more on integration and 3D geometry compared to previous shifts.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<h3>What was the average time students took to complete JEE Main 2025 January 28 Shift 2 Maths Paper?<\/h3>\n\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<p>Most students spent around 2 to 2.5 hours solving the Maths section, leaving some time for review and answering other sections.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<h3>What strategies can be used to improve performance in future JEE Main Maths Papers?<\/h3>\n\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<p>Focus on understanding core concepts thoroughly.<br \/>\nPractice previous year\u2019s papers and mock tests.<br \/>\nTime management is crucial; prioritize easy and medium questions first.<br \/>\nAnalyze weak areas and work on them through targeted practice.<\/p>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n","protected":false},"excerpt":{"rendered":"<p>The JEE Main 2025 January session is an important milestone for aspirants aiming to secure admission into top engineering institutes across India. With January 28 Shift 2 Maths Paper conducted smoothly, students and educators alike are keen to understand the difficulty level, question trends, and strategies for future shifts. This article provides a detailed analysis [&hellip;]<\/p>\n","protected":false},"author":55,"featured_media":289078,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3719,1295],"tags":[10976,11000,10986,10989,10987,10978,10988],"class_list":["post-288854","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-jee","category-jee-main","tag-jee-main-2025-answer-key-and-solutions","tag-jee-main-2025-january-28-shift-2-maths","tag-jee-main-2025-maths-paper-analysis","tag-jee-main-2025-maths-paper-pdf-download","tag-jee-main-2025-maths-solutions-download","tag-jee-main-2025-paper-review-and-solutions","tag-jee-main-2025-shift-2-maths-difficulty-level"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>JEE Main 2025 January 28 Shift 2 Maths Paper &amp; Solutions, Difficulty Level, Number of Attempts<\/title>\n<meta name=\"description\" content=\"Explore the comprehensive analysis of JEE Main 2025 January 28 Shift 2 Maths Paper, including solutions, difficulty level, and number of attempts. 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