DAY 5 | CLOCK | CSAT MADE EASY | UPSC PRELIMS 2026 | PYQ SERIES 2014 - 25 | @KarmrathiIAS скачать в хорошем качестве

DAY 5 | CLOCK | CSAT MADE EASY | UPSC PRELIMS 2026 | PYQ SERIES 2014 - 25 | @KarmrathiIAS

DAY 5 | CLOCK | CSAT MADE EASY | UPSC PRELIMS 2026 | PYQ SERIES 2014 - 25 | @KarmrathiIAS #upscpreparation #prelims #csat #reasoning #pyq #2026 #2025 #youtube 1. Basic Clock Hand Movement (0:44) Hour Hand: Covers 360° in 12 hours (0:58). Covers 30° in 1 hour (1:15). Covers 0.5° in 1 minute (2:05). Minute Hand: Covers 360° in 60 minutes (1:30). Covers 6° in 1 minute (1:46). Second Hand: Covers 360° in 60 seconds (2:15). Covers 6° in 1 second (2:33). 2. Coincidence and Opposite Angles (2:45) The hour and minute hands coincide (0° angle) 11 times in 12 hours and 22 times in 24 hours (2:56). The hour and minute hands form a 180° angle (opposite) 11 times in 12 hours (3:15). 3. Key Formula for Angle between Hands (3:25) The most important formula to remember is: Angle = |(60H - 11M) / 2| (3:29), where H is the hour and M is the minute. 4. 1: After how many minutes will the two hands again be lying one above the other? (4:02) This problem involves finding the time when the hands coincide between 8 and 9 AM, and then between 9 and 10 AM, to calculate the time elapsed until the next coincidence. Using the 0° angle formula, the first coincidence is at approximately 8:43 (7:56). The next coincidence between 9 and 10 AM is at approximately 9:49 (9:58). The time taken for the hands to coincide again is 66 minutes (10:43). 2: Between 6 PM and 7 PM, at what time will the minute hand be ahead of the hour hand by 3 minutes? (11:15) 3 minutes ahead means an angle of 3 * 6° = 18° (12:30), but since the minute hand is ahead, the angle is considered -18° (12:46). Using the formula (Angle = |(60H - 11M) / 2| = -18°), the time is calculated as 6:36 PM (14:32). 3: A clock strikes once at 1 AM, twice at 2 AM, and so on. If it takes 12 seconds to strike at 5 AM, how long will it take to strike at 10 AM? (16:03) The striking time is directly proportional to the hour. If 5 strikes take 12 seconds, then 10 strikes (double the number) will take 24 seconds (17:38). 4: A watch loses 2 minutes every 24 hours, and another watch gains 2 minutes every 24 hours. If they show identical time at a particular instant, after how many days will they show identical time again? (17:53) The total time difference between the two watches is 4 minutes per day (2 minutes lost + 2 minutes gained) (21:16). To show the identical time again, they need to accumulate a difference of 12 hours (720 minutes). The time for them to show the identical time again is 1440 minutes (20:27). Calculating days: 1440 minutes / 4 minutes/day = 360 days (21:34). The answer is not among the given options, so "None of the above" is selected (21:48). 5: A wall clock moves 10 minutes fast in every 24 hours. If it was set right at 8 AM on Monday, what is the correct time when the clock shows 6 PM on Wednesday? (22:07) Calculate the total time elapsed from Monday 8 AM to Wednesday 6 PM: 24 hours (Mon to Tue 8 AM) + 24 hours (Tue to Wed 8 AM) + 10 hours (Wed 8 AM to 6 PM) = 58 hours (24:39). In 24 hours, the clock gains 10 minutes. In 1 hour, it gains 10/24 minutes. In 58 hours, the clock gains (10/24) * 58 = approximately 24 minutes (25:51). Since the clock is fast, subtract the gained time from the displayed time: 6:00 PM - 24 minutes = 5:36 PM (26:32) 6: At which time do the hour hand and minute hand of a clock make an angle of 180°? (27:00) Using the angle formula (Angle = |(60H - 11M) / 2| = 180°). Substituting H = 7 (from the options), the minute (M) is calculated as approximately 5.45 minutes (29:08) This means the time is between 7:05 PM and 7:10 PM (29:48) 7: How many seconds in total are there in x weeks, x days, x hours, x minutes, and x seconds? (30:07) This problem involves converting each unit to seconds and summing them. The correct option is the one that shows the sum of seconds for each 'x' unit, which is 604800x + 86400x + 3600x + 60x + x (31:18). 8: Between 3:16 PM and 3:17 PM, both the hour and minute hands coincide. Between 4:58 PM and 4:59 PM, both the minute and second hands coincide. (32:39) For the first statement, using the 0° angle formula for 3 PM, the hands coincide at approximately 3:16.36 PM (33:57), confirming the first statement is correct (34:35). For the second statement, the instructor states that since the minute hand can coincide with the hour hand, the second hand can also coincide with the minute hand within a minute, making the second statement correct as well (35:14). 9: What is the angle between the minute hand and hour hand when the clock shows 4:25? (35:28) Using the angle formula (Angle = |(60H - 11M) / 2|), substitute H = 4 and M = 25. The calculated angle is 17.5° (37:50) Problem 10: How many times do the hour and minute hands coincide between 10 AM and 2 PM? (38:02) By visualizing the clock or using the coincidence logic, the hands will coincide at: Between 10 and 11 AM Between 11 AM and 12 PM (specifically at 12:00 PM, which is a coincidence) Between 12 PM and 1 PM Therefore, they coincided 3 times (39:04).