{"id":41009,"date":"2024-05-06T14:51:17","date_gmt":"2024-05-06T14:51:17","guid":{"rendered":"https:\/\/edukemy.com\/blog\/?p=41009"},"modified":"2024-05-06T16:07:48","modified_gmt":"2024-05-06T16:07:48","slug":"upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars","status":"publish","type":"post","link":"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/","title":{"rendered":"UPSC Prelims Topic Wise Questions &#8211; Basic Numeracy &#8211; Clocks and Calendars"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full is-resized\"><a href=\"https:\/\/edukemy.com\/upsc\/upsc-prelims-test-series?utm_source=Blog&amp;utm_medium=Blog&amp;utm_campaign=Blog-%20PTS\" target=\"_blank\" rel=\"noreferrer noopener\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/edukemy.com\/blog\/wp-content\/uploads\/2024\/02\/Prelims-Test-Series-eng-and-hindi-1280\u00d7330.svg\" alt=\"UPSC Prelims Mock Test - ECONOMY 2\" class=\"wp-image-24924\" width=\"779\" height=\"199\"\/><\/a><\/figure>\n\n\n\n<p>Explore a curated selection of UPSC Prelims Topic Wise Questions focusing on Basic Numeracy, specifically delving into Clocks and Calendars. Dive into a diverse array of questions meticulously designed to enhance your understanding and preparation for the UPSC Preliminary examination in these fundamental mathematical concepts. This resource offers a structured approach to mastering key principles and techniques necessary for success in solving clock and calendar-related problems. Whether you&#8217;re a novice seeking to build foundational knowledge or an experienced candidate aiming to refine your skills, these thoughtfully crafted questions provide valuable insights and practice opportunities. With a strategic emphasis on topic-wise questions, aspirants can sharpen their problem-solving abilities and develop a deeper understanding of clock and calendar concepts. Elevate your preparation, grasp essential insights, and optimize your performance in the UPSC Prelims with proficiency in solving problems related to clocks and calendars within the realm of basic numeracy.<\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_73 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<label for=\"ez-toc-cssicon-toggle-item-69d63bcf082ca\" class=\"ez-toc-cssicon-toggle-label\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-cssicon\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69d63bcf082ca\"  \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q1_The_number_of_times_in_a_day_the_hour_hand_and_the_minute_hand_of_a_clock_are_at_right_angles_is_1997\" title=\"Q1. The number of times in a day the hour hand and the minute hand of a clock are at right angles, is (1997)\">Q1. The number of times in a day the hour hand and the minute hand of a clock are at right angles, is (1997)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_a\" title=\"Ans. (a)\">Ans. (a)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q2_An_accurate_clock_shows_the_time_as_3_00_After_hour_hand_has_moved_135%C2%B0_the_time_would_be_1998\" title=\"Q2. An accurate clock shows the time as 3:00. After hour hand has moved 135\u00b0, the time would be (1998)\">Q2. An accurate clock shows the time as 3:00. After hour hand has moved 135\u00b0, the time would be (1998)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_a-2\" title=\"Ans. (a)\">Ans. (a)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q3_When_the_time_in_the_wall-clock_is_3_25_pm_the_acute_angle_between_the_hour_hand_and_the_minute_hand_is_2002\" title=\"Q3. When the time in the wall-clock is 3:25 pm, the acute angle between the hour hand and the minute hand is (2002)\">Q3. When the time in the wall-clock is 3:25 pm, the acute angle between the hour hand and the minute hand is (2002)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_c\" title=\"Ans. (c)\">Ans. (c)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q4_March_1st_2008_was_Saturday_Which_day_was_it_on_March_1st_2002_2008\" title=\"Q4. March 1st, 2008 was Saturday. Which day was it on March 1st, 2002? (2008)\">Q4. March 1st, 2008 was Saturday. Which day was it on March 1st, 2002? (2008)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_b\" title=\"Ans. (b)\">Ans. (b)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q5_How_many_times_are_an_hour_hand_and_a_minute_hand_of_a_clock_at_right_angles_during_their_motion_from_1_00_pm_to_10_00_pm_2009\" title=\"Q5. How many times are an hour hand and a minute hand of a clock at right angles during their motion from 1:00 pm to 10:00 pm? (2009)\">Q5. How many times are an hour hand and a minute hand of a clock at right angles during their motion from 1:00 pm to 10:00 pm? (2009)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_b-2\" title=\"Ans. (b)\">Ans. (b)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q6_If_the_3rd_day_of_a_month_is_Monday_which_one_of_the_following_will_be_the_fifth_day_from_21st_of_this_month_2014\" title=\"Q6. If the 3rd day of a month is Monday, which one of the following will be the fifth day from 21st of this month? (2014)\">Q6. If the 3rd day of a month is Monday, which one of the following will be the fifth day from 21st of this month? (2014)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_c-2\" title=\"Ans. (c)\">Ans. (c)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q7_Assume_that_1_the_hour_and_minute_hands_of_a_clock_move_without_jerking_2_the_clock_shows_a_time_between_8_oclock_and_9_oclock_3_the_two_hands_of_the_clock_are_one_above_the_other_After_how_many_minutes_nearest_integer_will_the_two_hands_be_again_lying_one_above_the_other_2014\" title=\"Q7. Assume that 1. the hour and minute hands of a clock move without jerking. 2. the clock shows a time between 8 o&#8217;clock and 9 o&#8217;clock. 3. the two hands of the clock are one above the other. After how many minutes (nearest integer) will the two hands be again lying one above the other? (2014)\">Q7. Assume that 1. the hour and minute hands of a clock move without jerking. 2. the clock shows a time between 8 o&#8217;clock and 9 o&#8217;clock. 3. the two hands of the clock are one above the other. After how many minutes (nearest integer) will the two hands be again lying one above the other? (2014)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_c-3\" title=\"Ans. (c)\">Ans. (c)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q8_Between_6_pm_and_7_pm_the_minute_hand_of_a_clock_will_be_ahead_of_the_hour_hand_by_3_min_at_2015\" title=\"Q8. Between 6 pm and 7 pm, the minute hand of a clock will be ahead of the hour hand by 3 min at (2015)\">Q8. Between 6 pm and 7 pm, the minute hand of a clock will be ahead of the hour hand by 3 min at (2015)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_c-4\" title=\"Ans. (c)\">Ans. (c)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q9_A_class_starts_at_11_00_am_and_lasts_till_2_27_pm_Four_periods_of_equal_duration_are_held_during_this_interval_After_every_period_a_rest_of_5_min_is_given_to_the_students_The_exact_duration_of_each_period_is_2016\" title=\"Q9. A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 min is given to the students. The exact duration of each period is (2016)\">Q9. A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 min is given to the students. The exact duration of each period is (2016)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_a-3\" title=\"Ans. (a)\">Ans. (a)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q11_If_second_and_fourth_Saturdays_and_all_the_Sundays_are_taken_as_only_holidays_for_an_office_what_would_be_the_minimum_number_of_possible_working_days_of_any_month_of_any_year_2017\" title=\"Q11. If second and fourth Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year? (2017)\">Q11. If second and fourth Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year? (2017)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_b-3\" title=\"Ans. (b)\">Ans. (b)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Q12_A_clock_strikes_once_at_1_oclock_twice_at_2_oclock_and_thrice_at_3_oclock_and_so_on_If_it_takes_12_sec_to_strike_at_5_oclock_what_is_the_time_taken_by_it_to_strike_at_10_oclock_2017\" title=\"Q12. A clock strikes once at 1 o&#8217;clock, twice at 2 o&#8217;clock and thrice at 3 o&#8217;clock, and so on. If it takes 12 sec to strike at 5 o&#8217;clock, what is the time taken by it to strike at 10 o&#8217;clock? (2017)\">Q12. A clock strikes once at 1 o&#8217;clock, twice at 2 o&#8217;clock and thrice at 3 o&#8217;clock, and so on. If it takes 12 sec to strike at 5 o&#8217;clock, what is the time taken by it to strike at 10 o&#8217;clock? (2017)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Ans_b-4\" title=\"Ans . (b)\">Ans . (b)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#In_case_you_still_have_your_doubts_contact_us_on_9811333901\" title=\"In case you still have your doubts, contact us on 9811333901.&nbsp;\">In case you still have your doubts, contact us on 9811333901.&nbsp;<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/edukemy.com\/blog\/upsc-prelims-topic-wise-questions-basic-numeracy-clocks-and-calendars\/#Visit_our_YouTube_Channel_%E2%80%93_here\" title=\"Visit our YouTube Channel &#8211;&nbsp;here\">Visit our YouTube Channel &#8211;&nbsp;here<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q1_The_number_of_times_in_a_day_the_hour_hand_and_the_minute_hand_of_a_clock_are_at_right_angles_is_1997\"><\/span><strong>Q1. The number of times in a day the hour hand and the minute hand of a clock are at right angles, is (1997)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 44 <\/p>\n\n\n\n<p>(b) 48 <\/p>\n\n\n\n<p>(c) 24 <\/p>\n\n\n\n<p>(d) 12<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_a\"><\/span><strong>Ans. (a)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Angle formed by minute hand in an hour = 360\u00b0 <\/p>\n\n\n\n<p>Angle formed by minute hand in a minute = 6\u00b0 <\/p>\n\n\n\n<p>Angle formed by hour hand in an hour = 30\u00b0 <\/p>\n\n\n\n<p>Angle formed by hour hand in a minute = 0.5\u00b0<\/p>\n\n\n\n<p>Now, starting from midnight, the first time difference  between the two hand would be 90\u00b0 is: 6x-0.5x=90\u00b0 <\/p>\n\n\n\n<p>[x is the number of minutes]<\/p>\n\n\n\n<p>5.5x = 90\u00b0<\/p>\n\n\n\n<p>x = 90\u00b0\/5.5 = 180\/11 minutes<\/p>\n\n\n\n<p>The next time difference between the two hands would be 90\u00b0 is when the minute hand would have moved 180\u00b0 away from hour hand:<\/p>\n\n\n\n<p>6x &#8211; 5x = 90\u00b0 + 180 \u00b0, 5.5x = 270\u00b0<\/p>\n\n\n\n<p>x = 270\u00b0\/5.5 = 540\/11 minutes<\/p>\n\n\n\n<p>Thus, the difference in time between two consecutive moments where both hands forms a right angle is:<\/p>\n\n\n\n<p>540\/11 &#8211; 180\/11 = 360\/11 minutes<\/p>\n\n\n\n<p>The two hands forms a right angle after every 360\/11 minutes<\/p>\n\n\n\n<p>Total number of minutes in a day = 24 X 60 = 1440 minutes<\/p>\n\n\n\n<p>Number of times the two hands will form a right angle in a day = 1440+ 360\/11= 44 times<\/p>\n\n\n\n<p>Hence, the two hands will form right angle &#8220;44 times&#8221; in a day.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q2_An_accurate_clock_shows_the_time_as_3_00_After_hour_hand_has_moved_135%C2%B0_the_time_would_be_1998\"><\/span><strong>Q2. An accurate clock shows the time as 3:00. After hour hand has moved 135\u00b0, the time would be (1998)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 7:30 <\/p>\n\n\n\n<p>(b) 6:30 <\/p>\n\n\n\n<p>(c) 8:00 <\/p>\n\n\n\n<p>(d) 9:30<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_a-2\"><\/span><strong>Ans. (a)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>According to the question,<\/p>\n\n\n\n<p>Hour hand covers an angle of 360\u00b0 in 12 h<\/p>\n\n\n\n<p>Time taken to cover an angle of 135\u00b0 = 12\/360 X 135 = 4.5 h<\/p>\n\n\n\n<p>Required time=3:00 +4.5h-7.5 h=7:30<\/p>\n\n\n\n<p>390. An accurate clock shows 8 o&#8217;clock in the morning. Throughout how many degrees will the hour hand rotate, when the clock shown 2 o&#8217;clock in the afternoon? (2000)<\/p>\n\n\n\n<p>(a) 150\u00b0 <\/p>\n\n\n\n<p>(b) 144\u00b0 <\/p>\n\n\n\n<p>(c) 168\u00b0 <\/p>\n\n\n\n<p>(d) 180\u00b0<\/p>\n\n\n\n<p>Ans. (d)<\/p>\n\n\n\n<p>As we know, <\/p>\n\n\n\n<p>Angle covered by hour hand for 12 h = 360\u00b0<\/p>\n\n\n\n<p>Angle covered by hour hand for 1 h = 360\u00b0\/12<\/p>\n\n\n\n<p>[As from 8&#8217;0 clock to 2&#8217;0 clock there are 6h]<\/p>\n\n\n\n<p>Angle covered by hour hand for 6 h= 360\u00b0\/12 X (6) = 180\u00b0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q3_When_the_time_in_the_wall-clock_is_3_25_pm_the_acute_angle_between_the_hour_hand_and_the_minute_hand_is_2002\"><\/span><strong>Q3. When the time in the wall-clock is 3:25 pm, the acute angle between the hour hand and the minute hand is (2002)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 60\u00b0 <\/p>\n\n\n\n<p>(b) 52.5\u00b0 <\/p>\n\n\n\n<p>(c) 47.5\u00b0 <\/p>\n\n\n\n<p>(d) 42<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_c\"><\/span><strong>Ans. (c)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>According to the question, <\/p>\n\n\n\n<p>In a clock, the angle between two successive numbers is 360\u00b0+12=30\u00b0 When the time is 3:25 pm, the minute hand will be on 5 and will have moved 60\u00b0 from 3 and hour hand would be between 3 and 4 and as it moves 30\u00b0 in 60 min, so in 25 min. <\/p>\n\n\n\n<p>It would move (30\u00b0 X 25) \/ 60 = 12.5\u00b0<\/p>\n\n\n\n<p>So, the difference between two hands will be = 60\u00b0-12.5\u00b0=47.5\u00b0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q4_March_1st_2008_was_Saturday_Which_day_was_it_on_March_1st_2002_2008\"><\/span><strong>Q4. March 1st, 2008 was Saturday. Which day was it on March 1st, 2002? (2008)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) Thursday <\/p>\n\n\n\n<p>(b) Friday <\/p>\n\n\n\n<p>(c) Saturday <\/p>\n\n\n\n<p>(d) Sunday<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_b\"><\/span><strong>Ans. (b)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>According to the question, <\/p>\n\n\n\n<p>In a year, number of weeks = 52<\/p>\n\n\n\n<p>Number of odd days = 1 <\/p>\n\n\n\n<p>From 2002 to 2008, there are 6 \u0443\u0433. So number of odd days = 6(1)=6 <\/p>\n\n\n\n<p>While 2004 and 2008 are leap years, having one more odd day apart from the normal odd day. <\/p>\n\n\n\n<p>Thus, number of odd days =6+1+1=8 <\/p>\n\n\n\n<p>Out of these 8 extra days, 7 days form a week and so 1 day remains.<\/p>\n\n\n\n<p>Hence 1st March, 2002 is 1 day less than 1st March, 2008 i.e. it is Friday. <\/p>\n\n\n\n<p>Hence, option (b) is correct.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q5_How_many_times_are_an_hour_hand_and_a_minute_hand_of_a_clock_at_right_angles_during_their_motion_from_1_00_pm_to_10_00_pm_2009\"><\/span><strong>Q5. How many times are an hour hand and a minute hand of a clock at right angles during their motion from 1:00 pm to 10:00 pm? (2009)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 9 <\/p>\n\n\n\n<p>(b) 16 <\/p>\n\n\n\n<p>(c) 18 <\/p>\n\n\n\n<p>(d) 20<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_b-2\"><\/span><strong>Ans. (b)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Hour and minute hands are at right angle when the difference between their angles in clockwise direction are 90\u00b0 or 270\u00b0. <\/p>\n\n\n\n<p>Angle covered by minute hand in one minute = 6\u00b0 Angle covered by hour hand in one minute =0.5\u00b0<\/p>\n\n\n\n<p>90\u00b0 difference happens after = 90\u00b0\/(6-0.5)\u00b0 = 180\/11 min.<\/p>\n\n\n\n<p>270\u00b0 difference happens after = 270\u00b0 \/ (6-0.5)\u00b0 = 540\/11 min.<\/p>\n\n\n\n<p>So, hour and minute hands are at right angle 2 times in = = 180\/11 + 540\/11 = 720\/11 min<\/p>\n\n\n\n<p>Time duration = 10 pm-1 pm =9h=9&#215;60 min<\/p>\n\n\n\n<p>In 720\/11 min, right angle = 2 times<\/p>\n\n\n\n<p>In 9 x 60 min, right angle = (2 x 11\/720) x 9 x 60 times = 33\/2 = 16 times.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q6_If_the_3rd_day_of_a_month_is_Monday_which_one_of_the_following_will_be_the_fifth_day_from_21st_of_this_month_2014\"><\/span><strong>Q6. If the 3rd day of a month is Monday, which one of the following will be the fifth day from 21st of this month? (2014)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) Monday <\/p>\n\n\n\n<p>(b) Tuesday<\/p>\n\n\n\n<p>(c) Wednesday <\/p>\n\n\n\n<p>(d) Friday<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_c-2\"><\/span><strong>Ans. (c)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>3rd day of the month = Monday <\/p>\n\n\n\n<p>10th, 17th and 24th day will also be Monday as Monday repeats after 7 days.<\/p>\n\n\n\n<p>24th Monday, i.e. 3rd day from 21st<\/p>\n\n\n\n<p>5th day from 21st = Monday + 2 = Wednesday<\/p>\n\n\n\n<p>Hence, option (c) is correct.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q7_Assume_that_1_the_hour_and_minute_hands_of_a_clock_move_without_jerking_2_the_clock_shows_a_time_between_8_oclock_and_9_oclock_3_the_two_hands_of_the_clock_are_one_above_the_other_After_how_many_minutes_nearest_integer_will_the_two_hands_be_again_lying_one_above_the_other_2014\"><\/span><strong>Q7. Assume that 1. the hour and minute hands of a clock move without jerking. 2. the clock shows a time between 8 o&#8217;clock and 9 o&#8217;clock. 3. the two hands of the clock are one above the other. After how many minutes (nearest integer) will the two hands be again lying one above the other? (2014)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 60 <\/p>\n\n\n\n<p>(b) 62 <\/p>\n\n\n\n<p>(c) 65 <\/p>\n\n\n\n<p>(d) 67<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_c-3\"><\/span><strong>Ans. (c)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>In an hour, the minute hand covers a distance of 60 min spaces whereas the hour hand covers a distance of 5 min spaces. This means that in an hour, the minute hand gains 55 min spaces on the hour hand. For the two hands to be again lying one above the other, the minute hand has to gain 60 min spaces on the hour hand, which it does in (60\/55 X 60) min = 65 min 27 s = 65 min<\/p>\n\n\n\n<p>Hence, the required time = 65 min.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q8_Between_6_pm_and_7_pm_the_minute_hand_of_a_clock_will_be_ahead_of_the_hour_hand_by_3_min_at_2015\"><\/span><strong>Q8. Between 6 pm and 7 pm, the minute hand of a clock will be ahead of the hour hand by 3 min at (2015)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 6:15 pm <\/p>\n\n\n\n<p>(b) 6:18 pm <\/p>\n\n\n\n<p>(c) 6:36 pm <\/p>\n\n\n\n<p>(d) 6:48 pm<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_c-4\"><\/span><strong>Ans. (c)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>We know that, exactly at 6 pm, angle between hour and minute hand is 180\u00b0.<\/p>\n\n\n\n<p>Angle covered by minute hand in 1 min = 360\u00b0\/60 = 6\u00b0<\/p>\n\n\n\n<p>Angle covered by hour hand in 1 min = 30\u00b0\/60 = 0.5\u00b0<\/p>\n\n\n\n<p>3 min = 360\u00b0\/60 X 3 = 18\u00b0<\/p>\n\n\n\n<p>Let after x min minute hand will be 3 min ahead of hour hand.<\/p>\n\n\n\n<p>Then,<\/p>\n\n\n\n<p>(6\u00b0-0.5\u00b0)x=180\u00b0 +18\u00b0<\/p>\n\n\n\n<p>5.5 x = 198<\/p>\n\n\n\n<p>x = 36 min<\/p>\n\n\n\n<p>Required time = 6 pm + 36 min = 6:36 pm<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q9_A_class_starts_at_11_00_am_and_lasts_till_2_27_pm_Four_periods_of_equal_duration_are_held_during_this_interval_After_every_period_a_rest_of_5_min_is_given_to_the_students_The_exact_duration_of_each_period_is_2016\"><\/span><strong>Q9. A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 min is given to the students. The exact duration of each period is (2016)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 48 min<\/p>\n\n\n\n<p>(b) 50 min<\/p>\n\n\n\n<p>(c) 51 min<\/p>\n\n\n\n<p>(d) 53 min<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_a-3\"><\/span><strong>Ans. (a)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>It is given that, class starts at 11:00 am and lasts till 2:27 pm.<\/p>\n\n\n\n<p>Total duration = 3 h and 27 min<\/p>\n\n\n\n<p>Total number of periods = 4<\/p>\n\n\n\n<p>Since, there is a rest of 5 min after each period, so total duration of periods =3 h 27 min-15 min<\/p>\n\n\n\n<p>Hence, the duration of each period = 192\/4 min = 48 min.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q11_If_second_and_fourth_Saturdays_and_all_the_Sundays_are_taken_as_only_holidays_for_an_office_what_would_be_the_minimum_number_of_possible_working_days_of_any_month_of_any_year_2017\"><\/span><strong>Q11. If second and fourth Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year? (2017)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 23<\/p>\n\n\n\n<p>(b) 22<\/p>\n\n\n\n<p>(c) 21<\/p>\n\n\n\n<p>(d) 20<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_b-3\"><\/span><strong>Ans. (b)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>February is the month in which there are minimum number of working days, i.e. 28 days,<\/p>\n\n\n\n<p>There will be maximum four Sundays and two Saturdays off i.e. 6 days. <\/p>\n\n\n\n<p>Minimum number of working days =28-6=22 days<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Q12_A_clock_strikes_once_at_1_oclock_twice_at_2_oclock_and_thrice_at_3_oclock_and_so_on_If_it_takes_12_sec_to_strike_at_5_oclock_what_is_the_time_taken_by_it_to_strike_at_10_oclock_2017\"><\/span><strong>Q12. A clock strikes once at 1 o&#8217;clock, twice at 2 o&#8217;clock and thrice at 3 o&#8217;clock, and so on. If it takes 12 sec to strike at 5 o&#8217;clock, what is the time taken by it to strike at 10 o&#8217;clock? (2017)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>(a) 20 sec <\/p>\n\n\n\n<p>(b) 24 sec<\/p>\n\n\n\n<p>(c) 28 sec <\/p>\n\n\n\n<p>(d) 30 sec<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ans_b-4\"><\/span><strong>Ans . (b)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>At 5 o&#8217; clock, clock strikes 5 times in 12 sec. <\/p>\n\n\n\n<p>Time taken for 1 strike = 12\/5 sec  <\/p>\n\n\n\n<p>At 10 o&#8217; clock, clock strikes 10 times. Therefore, total time taken by clock to strike 10 times= 1\/5 x 10 sec = 24 sec.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><a href=\"https:\/\/edukemy.com\/upsc\/upsc-essay?utm_source=Blog&amp;utm_medium=Banner&amp;utm_campaign=Essay\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" data-src=\"https:\/\/edukemy.com\/blog\/wp-content\/uploads\/2024\/06\/UPSC-Essay-Course-1280\u00d7300-1-3.svg\" alt=\"\" class=\"wp-image-42688 lazyload\" width=\"781\" height=\"182\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 781px; --smush-placeholder-aspect-ratio: 781\/182;\" \/><\/a><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"In_case_you_still_have_your_doubts_contact_us_on_9811333901\"><\/span><strong>In case you still have your doubts, contact us on 9811333901.<\/strong>&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>For UPSC Prelims Resources,&nbsp;<a href=\"https:\/\/edukemy.com\/upsc-cse-prelims-resource-centre\" target=\"_blank\" rel=\"noreferrer noopener\">Click here<\/a><\/p>\n\n\n\n<p>For Daily Updates and Study Material:<\/p>\n\n\n\n<p>Join our Telegram Channel &#8211;&nbsp;<a href=\"https:\/\/t.me\/WithEdukemy4IAS\" target=\"_blank\" rel=\"noreferrer noopener\">Edukemy for IAS<\/a><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>1. Learn through Videos &#8211;&nbsp;<a href=\"https:\/\/bit.ly\/3vOD8sU\" target=\"_blank\" rel=\"noreferrer noopener\">here<\/a><\/li><li>2. Be Exam Ready by Practicing Daily MCQs &#8211;&nbsp;<a href=\"https:\/\/bit.ly\/3Q9z2nF\" target=\"_blank\" rel=\"noreferrer noopener\">here<\/a><\/li><li>3. Daily Newsletter &#8211; Get all your Current Affairs Covered &#8211;&nbsp;<a href=\"https:\/\/bit.ly\/3bE2y5J\" target=\"_blank\" rel=\"noreferrer noopener\">here<\/a><\/li><li>4. Mains Answer Writing Practice &#8211;&nbsp;<a href=\"https:\/\/bit.ly\/3mZuVxl\" target=\"_blank\" rel=\"noreferrer noopener\">here<\/a><\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Visit_our_YouTube_Channel_%E2%80%93_here\"><\/span>Visit our YouTube Channel &#8211;&nbsp;<a href=\"https:\/\/www.youtube.com\/@EduKemyforIAS\">here<\/a><span class=\"ez-toc-section-end\"><\/span><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Explore a curated selection of UPSC Prelims Topic Wise Questions focusing on Basic Numeracy, specifically delving into Clocks and Calendars. <\/p>\n","protected":false},"author":21,"featured_media":41010,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"categories":[3078],"tags":[232,515,231,179,140],"class_list":["post-41009","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-upsc-prelims-topic-wise-question","tag-upsc","tag-upsc-cse","tag-upsc-prelims","tag-upsc-prelims-strategy","tag-upsc_preparation_strategy"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/posts\/41009","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/comments?post=41009"}],"version-history":[{"count":2,"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/posts\/41009\/revisions"}],"predecessor-version":[{"id":41022,"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/posts\/41009\/revisions\/41022"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/media\/41010"}],"wp:attachment":[{"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/media?parent=41009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/categories?post=41009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edukemy.com\/blog\/wp-json\/wp\/v2\/tags?post=41009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}