{"id":90246,"date":"2025-06-01T10:23:50","date_gmt":"2025-06-01T10:23:50","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90246"},"modified":"2025-06-01T10:23:50","modified_gmt":"2025-06-01T10:23:50","slug":"the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/","title":{"rendered":"The angle between the hour hand and the minute hand of a clock at 10 m"},"content":{"rendered":"

The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is<\/p>\n

[amp_mcq option1=”30\u00b0” option2=”35\u00b0” option3=”37.5\u00b0” option4=”40\u00b0” correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2018<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is 35\u00b0.
\n<\/section>\n
\n– The minute hand moves 360 degrees in 60 minutes, so its speed is 6 degrees per minute (360\/60).
\n– The hour hand moves 360 degrees in 12 hours (720 minutes), so its speed is 0.5 degrees per minute (360\/720).
\n– At 3:10, the time is 3 hours and 10 minutes past 12 o’clock.
\n– Position of the minute hand: At 10 minutes, the minute hand is at 10 * 6 = 60 degrees from the 12 o’clock mark.
\n– Position of the hour hand: At 3 hours and 10 minutes, the hour hand’s position relative to 12 o’clock is (3 hours * 30 degrees\/hour) + (10 minutes * 0.5 degrees\/minute) = 90 + 5 = 95 degrees from the 12 o’clock mark. (Note: Each hour mark is 30 degrees apart: 360\/12 = 30).
\n– The angle between the hands is the absolute difference between their positions: |95\u00b0 – 60\u00b0| = 35\u00b0.
\n<\/section>\n
\nClock problems involve calculating the relative positions of the hour and minute hands based on their speeds. The hour hand moves continuously, not just jumping from one hour mark to the next.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is [amp_mcq option1=”30\u00b0” option2=”35\u00b0” option3=”37.5\u00b0” option4=”40\u00b0” correct=”option2″] This question was previously asked in UPSC CAPF – 2018 Download PDFAttempt Online The angle between the hour hand and the minute hand of a clock at 10 minutes past … <\/p>\n

Detailed SolutionThe angle between the hour hand and the minute hand of a clock at 10 m<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1114,1102],"class_list":["post-90246","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1114","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nThe angle between the hour hand and the minute hand of a clock at 10 m<\/title>\n<meta name=\"description\" content=\"The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is 35\u00b0. - The minute hand moves 360 degrees in 60 minutes, so its speed is 6 degrees per minute (360\/60). - The hour hand moves 360 degrees in 12 hours (720 minutes), so its speed is 0.5 degrees per minute (360\/720). - At 3:10, the time is 3 hours and 10 minutes past 12 o'clock. - Position of the minute hand: At 10 minutes, the minute hand is at 10 * 6 = 60 degrees from the 12 o'clock mark. - Position of the hour hand: At 3 hours and 10 minutes, the hour hand's position relative to 12 o'clock is (3 hours * 30 degrees\/hour) + (10 minutes * 0.5 degrees\/minute) = 90 + 5 = 95 degrees from the 12 o'clock mark. (Note: Each hour mark is 30 degrees apart: 360\/12 = 30). - The angle between the hands is the absolute difference between their positions: |95\u00b0 - 60\u00b0| = 35\u00b0.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The angle between the hour hand and the minute hand of a clock at 10 m\" \/>\n<meta property=\"og:description\" content=\"The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is 35\u00b0. - The minute hand moves 360 degrees in 60 minutes, so its speed is 6 degrees per minute (360\/60). - The hour hand moves 360 degrees in 12 hours (720 minutes), so its speed is 0.5 degrees per minute (360\/720). - At 3:10, the time is 3 hours and 10 minutes past 12 o'clock. - Position of the minute hand: At 10 minutes, the minute hand is at 10 * 6 = 60 degrees from the 12 o'clock mark. - Position of the hour hand: At 3 hours and 10 minutes, the hour hand's position relative to 12 o'clock is (3 hours * 30 degrees\/hour) + (10 minutes * 0.5 degrees\/minute) = 90 + 5 = 95 degrees from the 12 o'clock mark. (Note: Each hour mark is 30 degrees apart: 360\/12 = 30). - The angle between the hands is the absolute difference between their positions: |95\u00b0 - 60\u00b0| = 35\u00b0.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:23:50+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"The angle between the hour hand and the minute hand of a clock at 10 m","description":"The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is 35\u00b0. - The minute hand moves 360 degrees in 60 minutes, so its speed is 6 degrees per minute (360\/60). - The hour hand moves 360 degrees in 12 hours (720 minutes), so its speed is 0.5 degrees per minute (360\/720). - At 3:10, the time is 3 hours and 10 minutes past 12 o'clock. - Position of the minute hand: At 10 minutes, the minute hand is at 10 * 6 = 60 degrees from the 12 o'clock mark. - Position of the hour hand: At 3 hours and 10 minutes, the hour hand's position relative to 12 o'clock is (3 hours * 30 degrees\/hour) + (10 minutes * 0.5 degrees\/minute) = 90 + 5 = 95 degrees from the 12 o'clock mark. (Note: Each hour mark is 30 degrees apart: 360\/12 = 30). - The angle between the hands is the absolute difference between their positions: |95\u00b0 - 60\u00b0| = 35\u00b0.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/","og_locale":"en_US","og_type":"article","og_title":"The angle between the hour hand and the minute hand of a clock at 10 m","og_description":"The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is 35\u00b0. - The minute hand moves 360 degrees in 60 minutes, so its speed is 6 degrees per minute (360\/60). - The hour hand moves 360 degrees in 12 hours (720 minutes), so its speed is 0.5 degrees per minute (360\/720). - At 3:10, the time is 3 hours and 10 minutes past 12 o'clock. - Position of the minute hand: At 10 minutes, the minute hand is at 10 * 6 = 60 degrees from the 12 o'clock mark. - Position of the hour hand: At 3 hours and 10 minutes, the hour hand's position relative to 12 o'clock is (3 hours * 30 degrees\/hour) + (10 minutes * 0.5 degrees\/minute) = 90 + 5 = 95 degrees from the 12 o'clock mark. (Note: Each hour mark is 30 degrees apart: 360\/12 = 30). - The angle between the hands is the absolute difference between their positions: |95\u00b0 - 60\u00b0| = 35\u00b0.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:23:50+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/","name":"The angle between the hour hand and the minute hand of a clock at 10 m","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:23:50+00:00","dateModified":"2025-06-01T10:23:50+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The angle between the hour hand and the minute hand of a clock at 10 minutes past 3 is 35\u00b0. - The minute hand moves 360 degrees in 60 minutes, so its speed is 6 degrees per minute (360\/60). - The hour hand moves 360 degrees in 12 hours (720 minutes), so its speed is 0.5 degrees per minute (360\/720). - At 3:10, the time is 3 hours and 10 minutes past 12 o'clock. - Position of the minute hand: At 10 minutes, the minute hand is at 10 * 6 = 60 degrees from the 12 o'clock mark. - Position of the hour hand: At 3 hours and 10 minutes, the hour hand's position relative to 12 o'clock is (3 hours * 30 degrees\/hour) + (10 minutes * 0.5 degrees\/minute) = 90 + 5 = 95 degrees from the 12 o'clock mark. (Note: Each hour mark is 30 degrees apart: 360\/12 = 30). - The angle between the hands is the absolute difference between their positions: |95\u00b0 - 60\u00b0| = 35\u00b0.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-angle-between-the-hour-hand-and-the-minute-hand-of-a-clock-at-10-m\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"The angle between the hour hand and the minute hand of a clock at 10 m"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90246","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=90246"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90246\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90246"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90246"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}