{"id":92347,"date":"2025-06-01T11:21:52","date_gmt":"2025-06-01T11:21:52","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=92347"},"modified":"2025-06-01T11:21:52","modified_gmt":"2025-06-01T11:21:52","slug":"at-830-am-the-angle-between-the-minute-and-hour-hands-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/at-830-am-the-angle-between-the-minute-and-hour-hands-is\/","title":{"rendered":"At 8:30 am, the angle between the minute and hour hands is"},"content":{"rendered":"

At 8:30 am, the angle between the minute and hour hands is<\/p>\n

[amp_mcq option1=”70\u00b0” option2=”75\u00b0” option3=”80\u00b0” option4=”85\u00b0” correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CISF-AC-EXE – 2017<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nAt 8:30 am, the angle between the minute and hour hands is 75\u00b0.
\n<\/section>\n
\nThe relative speed of the hour hand and minute hand needs to be considered.
\n– The hour hand moves 360\u00b0 in 12 hours, or 30\u00b0 per hour, or 0.5\u00b0 per minute.
\n– The minute hand moves 360\u00b0 in 60 minutes, or 6\u00b0 per minute.
\n– At 8:30:
\n – The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o’clock mark is 30 minutes * 6\u00b0\/minute = 180\u00b0.
\n – The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o’clock mark is calculated based on the hours (8) and the minutes (30). The position is (8 hours * 30\u00b0\/hour) + (30 minutes * 0.5\u00b0\/minute) = 240\u00b0 + 15\u00b0 = 255\u00b0.
\n– The angle between the hands is the absolute difference between their positions: |255\u00b0 – 180\u00b0| = 75\u00b0.
\n<\/section>\n
\nA useful formula for finding the angle between hour and minute hands is |30H – (11\/2)M|, where H is the hour and M is the minute. For 8:30 am, H=8, M=30. Angle = |30*8 – (11\/2)*30| = |240 – 11*15| = |240 – 165| = 75\u00b0.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

At 8:30 am, the angle between the minute and hour hands is [amp_mcq option1=”70\u00b0” option2=”75\u00b0” option3=”80\u00b0” option4=”85\u00b0” correct=”option2″] This question was previously asked in UPSC CISF-AC-EXE – 2017 Download PDFAttempt Online At 8:30 am, the angle between the minute and hour hands is 75\u00b0. The relative speed of the hour hand and minute hand needs … <\/p>\n

Detailed SolutionAt 8:30 am, the angle between the minute and hour hands is<\/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":[1089],"tags":[1101,1102],"class_list":["post-92347","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1101","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nAt 8:30 am, the angle between the minute and hour hands is<\/title>\n<meta name=\"description\" content=\"At 8:30 am, the angle between the minute and hour hands is 75\u00b0. The relative speed of the hour hand and minute hand needs to be considered. - The hour hand moves 360\u00b0 in 12 hours, or 30\u00b0 per hour, or 0.5\u00b0 per minute. - The minute hand moves 360\u00b0 in 60 minutes, or 6\u00b0 per minute. - At 8:30: - The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o'clock mark is 30 minutes * 6\u00b0\/minute = 180\u00b0. - The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o'clock mark is calculated based on the hours (8) and the minutes (30). The position is (8 hours * 30\u00b0\/hour) + (30 minutes * 0.5\u00b0\/minute) = 240\u00b0 + 15\u00b0 = 255\u00b0. - The angle between the hands is the absolute difference between their positions: |255\u00b0 - 180\u00b0| = 75\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\/at-830-am-the-angle-between-the-minute-and-hour-hands-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"At 8:30 am, the angle between the minute and hour hands is\" \/>\n<meta property=\"og:description\" content=\"At 8:30 am, the angle between the minute and hour hands is 75\u00b0. The relative speed of the hour hand and minute hand needs to be considered. - The hour hand moves 360\u00b0 in 12 hours, or 30\u00b0 per hour, or 0.5\u00b0 per minute. - The minute hand moves 360\u00b0 in 60 minutes, or 6\u00b0 per minute. - At 8:30: - The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o'clock mark is 30 minutes * 6\u00b0\/minute = 180\u00b0. - The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o'clock mark is calculated based on the hours (8) and the minutes (30). The position is (8 hours * 30\u00b0\/hour) + (30 minutes * 0.5\u00b0\/minute) = 240\u00b0 + 15\u00b0 = 255\u00b0. - The angle between the hands is the absolute difference between their positions: |255\u00b0 - 180\u00b0| = 75\u00b0.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/at-830-am-the-angle-between-the-minute-and-hour-hands-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:21:52+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":"At 8:30 am, the angle between the minute and hour hands is","description":"At 8:30 am, the angle between the minute and hour hands is 75\u00b0. The relative speed of the hour hand and minute hand needs to be considered. - The hour hand moves 360\u00b0 in 12 hours, or 30\u00b0 per hour, or 0.5\u00b0 per minute. - The minute hand moves 360\u00b0 in 60 minutes, or 6\u00b0 per minute. - At 8:30: - The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o'clock mark is 30 minutes * 6\u00b0\/minute = 180\u00b0. - The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o'clock mark is calculated based on the hours (8) and the minutes (30). The position is (8 hours * 30\u00b0\/hour) + (30 minutes * 0.5\u00b0\/minute) = 240\u00b0 + 15\u00b0 = 255\u00b0. - The angle between the hands is the absolute difference between their positions: |255\u00b0 - 180\u00b0| = 75\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\/at-830-am-the-angle-between-the-minute-and-hour-hands-is\/","og_locale":"en_US","og_type":"article","og_title":"At 8:30 am, the angle between the minute and hour hands is","og_description":"At 8:30 am, the angle between the minute and hour hands is 75\u00b0. The relative speed of the hour hand and minute hand needs to be considered. - The hour hand moves 360\u00b0 in 12 hours, or 30\u00b0 per hour, or 0.5\u00b0 per minute. - The minute hand moves 360\u00b0 in 60 minutes, or 6\u00b0 per minute. - At 8:30: - The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o'clock mark is 30 minutes * 6\u00b0\/minute = 180\u00b0. - The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o'clock mark is calculated based on the hours (8) and the minutes (30). The position is (8 hours * 30\u00b0\/hour) + (30 minutes * 0.5\u00b0\/minute) = 240\u00b0 + 15\u00b0 = 255\u00b0. - The angle between the hands is the absolute difference between their positions: |255\u00b0 - 180\u00b0| = 75\u00b0.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/at-830-am-the-angle-between-the-minute-and-hour-hands-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:21:52+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\/at-830-am-the-angle-between-the-minute-and-hour-hands-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/at-830-am-the-angle-between-the-minute-and-hour-hands-is\/","name":"At 8:30 am, the angle between the minute and hour hands is","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:21:52+00:00","dateModified":"2025-06-01T11:21:52+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"At 8:30 am, the angle between the minute and hour hands is 75\u00b0. The relative speed of the hour hand and minute hand needs to be considered. - The hour hand moves 360\u00b0 in 12 hours, or 30\u00b0 per hour, or 0.5\u00b0 per minute. - The minute hand moves 360\u00b0 in 60 minutes, or 6\u00b0 per minute. - At 8:30: - The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o'clock mark is 30 minutes * 6\u00b0\/minute = 180\u00b0. - The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o'clock mark is calculated based on the hours (8) and the minutes (30). 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