{"id":23196,"date":"2019-09-16T12:25:43","date_gmt":"2019-09-16T07:25:43","guid":{"rendered":"http:\/\/jworldtimes.com\/old-site\/?p=23196"},"modified":"2019-11-22T11:59:01","modified_gmt":"2019-11-22T06:59:01","slug":"23196","status":"publish","type":"post","link":"https:\/\/www.jworldtimes.com\/old-site\/others\/23196\/","title":{"rendered":"Clock Problems"},"content":{"rendered":"

\"Asad<\/a><\/p>\n

Competitive Maths Series<\/strong><\/span><\/h2>\n

Clock Problems<\/strong><\/span><\/h2>\n
    \n
  1. A clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?<\/strong><\/li>\n<\/ol>\n

    (a)<\/strong> 144\u00ba \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 150\u00ba<\/p>\n

    (c)<\/em><\/strong> 180<\/em>\u00ba<\/span>\u00a0 \u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 210\u00ba<\/p>\n

      \n
    1. The reflex angle between the hands of a clock at 10:25 is:<\/strong><\/li>\n<\/ol>\n

      (a) <\/strong>180\u00ba \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b) <\/strong>192\u00bd\u00ba<\/p>\n

      (c) <\/em><\/strong>197\u00bd \u00ba<\/em><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d) <\/strong>200\u00ba<\/p>\n

        \n
      1. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:<\/strong><\/li>\n<\/ol>\n

        (a)<\/strong> 120\u00ba \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 145\u00ba<\/p>\n

        (c)<\/strong> 150\u00ba \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/em><\/strong> 155\u00ba<\/em><\/span><\/p>\n

          \n
        1. A watch which gains 5 seconds in 3 minutes was set right at 7 am. In the afternoon of the same day, when the watch indicated quarter past 4 o’clock, the true time is:<\/strong><\/li>\n<\/ol>\n

          (a) <\/em><\/strong>4:00 pm<\/em><\/span>\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b) <\/strong>4:30 pm<\/p>\n

          (c) <\/strong>5:00 pm\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d) <\/strong>5:15 pm<\/p>\n

            \n
          1. The angle between the minute hand and the hour hand of a clock when the time is 4:20, is:<\/strong><\/li>\n<\/ol>\n

            (a)<\/strong> 5\u00ba\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/em><\/strong> 10\u00ba<\/em><\/span><\/p>\n

            (c)<\/strong> 15\u00ba\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 20\u00ba<\/p>\n

              \n
            1. At what angle the hands of a clock are inclined at 15 minutes past 5?<\/strong><\/li>\n<\/ol>\n

              (a)<\/strong> 58\u00bd\u00ba \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 64\u00ba<\/p>\n

              (c)<\/strong> 66\u00ba\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/em><\/strong> 67\u00bd\u00ba<\/em><\/span><\/p>\n

                \n
              1. At 3:40, the hour hand and the minute hand of a clock form an angle of:<\/strong><\/li>\n<\/ol>\n

                (a)<\/strong> 120\u00b0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/em><\/strong> 130\u00b0<\/em><\/span><\/p>\n

                (c)<\/strong> 135\u00b0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 140\u00b0<\/p>\n

                  \n
                1. How many times are the hands of a clock at right angle in a day?<\/strong><\/li>\n<\/ol>\n

                  (a)<\/strong> 22\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em>(b)<\/strong> 24<\/p>\n

                  (c)<\/em><\/strong> 44<\/em>\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 48<\/p>\n

                    \n
                  1. The angle between the minute hand and the hour hand of a clock when the time is 8:30, is:<\/strong><\/li>\n<\/ol>\n

                    (a)<\/strong> 60\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 70<\/p>\n

                    (c)<\/em><\/strong> 75<\/em>\u00a0<\/span>\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 105<\/p>\n

                      \n
                    1. How many times in a day, are the hands of a clock in straight line but opposite in direction?<\/strong><\/li>\n<\/ol>\n

                      (a)<\/strong> 20\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/em><\/strong> 22<\/em><\/span><\/p>\n

                      (c) <\/strong>36\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 44<\/p>\n

                        \n
                      1. How many times do the hands of a clock coincide in a day?<\/strong><\/li>\n<\/ol>\n

                        (a)<\/strong> 16\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 18<\/p>\n

                        (c)<\/strong> 20\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/em><\/strong> 22<\/em><\/span><\/p>\n

                          \n
                        1. A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min 48 sec fast at 2 pm on the following Monday. When was it correct?<\/strong><\/li>\n<\/ol>\n

                          (a)<\/strong> 2 pm on Tuesday<\/p>\n

                          (b)<\/em><\/strong> 2 pm on Wednesday<\/em><\/span><\/p>\n

                          (c)<\/strong> 3 pm on Thursday<\/p>\n

                          (d)<\/strong> 1 pm on Friday<\/p>\n

                            \n
                          1. A watch loses 5 minutes every hour and was set right at 8 AM on a Monday. When will it show the correct time again?<\/strong><\/li>\n<\/ol>\n

                            (a)<\/em><\/strong> 8:00 am on Sunday<\/em>\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n

                            (b)<\/strong> 11:30 am on Sunday<\/p>\n

                            (c)<\/strong> 8:00 am on Monday<\/p>\n

                            (d)<\/strong> 9:30 am on Monday<\/p>\n

                              \n
                            1. A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?<\/strong><\/li>\n<\/ol>\n

                              (a)<\/strong> 11:48 am \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 12:14 pm<\/p>\n

                              (c)<\/strong> 12:34 pm\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/em><\/strong> 12:48 pm<\/em><\/span><\/p>\n

                                \n
                              1. An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?<\/strong><\/li>\n<\/ol>\n

                                (a)<\/strong> 60\u00ba\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 90\u00ba<\/p>\n

                                (c)<\/strong> 150\u00ba \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/em><\/strong> 180\u00ba<\/em><\/span><\/p>\n

                                \u00a0<\/em>A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?<\/strong><\/p>\n

                                (a)<\/strong> 10 pm \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/em><\/strong> 11 pm<\/em><\/span><\/p>\n

                                (c)<\/strong> 11:30 pm\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 12:15 pm<\/p>\n

                                  \n
                                1. The reflex angle between the hands of a clock at 10.25 is:<\/strong><\/li>\n<\/ol>\n

                                  (a)<\/strong> 80\u00bd \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 160\u00bd<\/p>\n

                                  (c)<\/em><\/strong> 197\u00bd <\/em>\u00a0\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 214\u00bd<\/p>\n

                                    \n
                                  1. At what angle the hands of a clock are inclined at 15 minutes past 5?<\/strong><\/li>\n<\/ol>\n

                                    (a)<\/strong> 57.5\u00ba\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 62.5\u00ba<\/p>\n

                                    (c)<\/em><\/strong> 67.5\u00ba<\/em><\/span> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 72.5\u00ba<\/p>\n

                                      \n
                                    1. The angle between the minute hand and the hour hand of a clock when the time is 8:30 is: <\/strong><\/li>\n<\/ol>\n

                                      (a)<\/strong> 45\u00ba\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 60\u00ba<\/p>\n

                                      (c)<\/em><\/strong><\/span> 75\u00ba\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em>(d)<\/strong> 90\u00ba<\/p>\n

                                        \n
                                      1. A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o’clock, the true time is:<\/strong><\/li>\n<\/ol>\n

                                        (a)<\/strong> 3:00pm\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)<\/strong> 3:30pm<\/p>\n

                                        (c)<\/em><\/strong> 4:00pm<\/em>\u00a0<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)<\/strong> 4:30pm<\/p>\n

                                        Clock Important Formulas<\/strong><\/span><\/p>\n

                                          \n
                                        1. In 60 minutes, the minute hand gains 55 minutes on the hour hand<\/span><\/li>\n
                                        2. In every hour, both the hands coincide once.<\/span><\/li>\n
                                        3. The hands are in the same straight line when they are coincident or opposite to each other.<\/span><\/li>\n
                                        4. When the two hands are at right angles, they are 15 minute spaces apart<\/span><\/li>\n
                                        5. When the hands are in opposite directions, they are 30 minute spaces apart<\/span><\/li>\n
                                        6. Angle traced by hour hand in 12 hrs = 360\u00b0.<\/span><\/li>\n
                                        7. Angle traced by minute hand in 60 min. = 360\u00b0.<\/span><\/li>\n
                                        8. Too Fast and Too Slow: If a watch or a clock indicates 8.15, when the correct time, 8 is said to be 15 minutes too fast.<\/span><\/li>\n
                                        9. On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow.<\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

                                          Competitive Maths Series Clock Problems A clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon? (a) 144\u00ba \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b) 150\u00ba (c) 180\u00ba\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d) 210\u00ba The reflex angle between the hands of a clock at 10:25 is: (a) 180\u00ba …<\/p>\n","protected":false},"author":8855,"featured_media":23197,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10390,10859,4,10873],"tags":[574,257,8438,9668,1226,40,2231,1161,537,8467],"_links":{"self":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/23196"}],"collection":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/users\/8855"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/comments?post=23196"}],"version-history":[{"count":2,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/23196\/revisions"}],"predecessor-version":[{"id":23199,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/23196\/revisions\/23199"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media\/23197"}],"wp:attachment":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media?parent=23196"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/categories?post=23196"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/tags?post=23196"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}