{"id":3808,"date":"2025-07-13T07:50:34","date_gmt":"2025-07-13T07:50:34","guid":{"rendered":"https:\/\/physicscatalyst.com\/testprep\/class-6-math\/ganita-prakash-chapter-3-number-play\/"},"modified":"2025-07-13T07:50:34","modified_gmt":"2025-07-13T07:50:34","slug":"ganita-prakash-chapter-3-number-play","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/testprep\/class-6-math\/ganita-prakash-chapter-3-number-play\/","title":{"rendered":"Ganita Prakash Chapter 3 Number Play"},"content":{"rendered":"<script type=\"text\/javascript\" >\ndocument.addEventListener(\"DOMContentLoaded\", function(event) { \nif(!window.jQuery) alert(\"The important jQuery library is not properly loaded in your site. Your WordPress theme is probably missing the essential wp_head() call. You can switch to another theme and you will see that the plugin works fine and this notice disappears. If you are still not sure what to do you can contact us for help.\");\n});\n<\/script>  \n  \n<div  id=\"watupro_quiz\" class=\"quiz-area single-page-quiz\">\n<p id=\"submittingExam478\" style=\"display:none;text-align:center;\">Please wait...<br><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/physicscatalyst.com\/testprep\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\"><\/p>\n\n<div class=\"watupro-exam-description\" id=\"description-quiz-478\"><p><strong>General Instructions<\/strong><\/p>\n<ul>\n<li>Your test contains multiple-choice questions with only one answer-type question. There are a total of 10 questions<\/li>\n<li>This is a 20 min test. Please make sure you complete it in the stipulated time<\/li>\n<li>You can finish this test any time using the <span style=\"color: #ff0000;\"><strong>'Submit'<\/strong><\/span> button.<\/li>\n<\/ul>\n<\/div>\n\n<form action=\"\" method=\"post\" class=\"quiz-form\" id=\"quiz-478\"  enctype=\"multipart\/form-data\" >\n<div class='watu-question ' id='question-1' style=';'><div id='questionWrap-1'  class='   watupro-question-id-8200'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>1. <\/span>which number is called Kaprekar constant<\/div><input type='hidden' name='question_id[]' id='qID_1' value='8200' class='watupro-question-id'\/><input type='hidden' id='answerType8200' class='answerTypeCnt1' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8200'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8200[]' id='answer-id-32752' class='answer   answerof-8200  ' value='32752'   \/><label for='answer-id-32752' id='answer-label-32752' class=' answer'><span>6174<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8200[]' id='answer-id-32753' class='answer   answerof-8200  ' value='32753'   \/><label for='answer-id-32753' id='answer-label-32753' class=' answer'><span>6074<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8200[]' id='answer-id-32754' class='answer   answerof-8200  ' value='32754'   \/><label for='answer-id-32754' id='answer-label-32754' class=' answer'><span>6714<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8200[]' id='answer-id-32755' class='answer   answerof-8200  ' value='32755'   \/><label for='answer-id-32755' id='answer-label-32755' class=' answer'><span>6417<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-2' style=';'><div id='questionWrap-2'  class='   watupro-question-id-8201'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>2. <\/span>The smallest 4-digit number with different digit?<\/div><input type='hidden' name='question_id[]' id='qID_2' value='8201' class='watupro-question-id'\/><input type='hidden' id='answerType8201' class='answerTypeCnt2' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8201'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8201[]' id='answer-id-32756' class='answer   answerof-8201  ' value='32756'   \/><label for='answer-id-32756' id='answer-label-32756' class=' answer'><span>1031<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8201[]' id='answer-id-32757' class='answer   answerof-8201  ' value='32757'   \/><label for='answer-id-32757' id='answer-label-32757' class=' answer'><span>1023<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8201[]' id='answer-id-32758' class='answer   answerof-8201  ' value='32758'   \/><label for='answer-id-32758' id='answer-label-32758' class=' answer'><span>1011<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8201[]' id='answer-id-32759' class='answer   answerof-8201  ' value='32759'   \/><label for='answer-id-32759' id='answer-label-32759' class=' answer'><span>1032<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-3' style=';'><div id='questionWrap-3'  class='   watupro-question-id-8202'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>3. <\/span>which of these is not a palindromic number?<\/div><input type='hidden' name='question_id[]' id='qID_3' value='8202' class='watupro-question-id'\/><input type='hidden' id='answerType8202' class='answerTypeCnt3' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8202'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8202[]' id='answer-id-32760' class='answer   answerof-8202  ' value='32760'   \/><label for='answer-id-32760' id='answer-label-32760' class=' answer'><span>868<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8202[]' id='answer-id-32761' class='answer   answerof-8202  ' value='32761'   \/><label for='answer-id-32761' id='answer-label-32761' class=' answer'><span>121<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8202[]' id='answer-id-32762' class='answer   answerof-8202  ' value='32762'   \/><label for='answer-id-32762' id='answer-label-32762' class=' answer'><span>111<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8202[]' id='answer-id-32763' class='answer   answerof-8202  ' value='32763'   \/><label for='answer-id-32763' id='answer-label-32763' class=' answer'><span>34<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-4' style=';'><div id='questionWrap-4'  class='   watupro-question-id-8203'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>4. <\/span>What is the smallest number whose digit sum is 14?<\/div><input type='hidden' name='question_id[]' id='qID_4' value='8203' class='watupro-question-id'\/><input type='hidden' id='answerType8203' class='answerTypeCnt4' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8203'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8203[]' id='answer-id-32764' class='answer   answerof-8203  ' value='32764'   \/><label for='answer-id-32764' id='answer-label-32764' class=' answer'><span>68<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8203[]' id='answer-id-32765' class='answer   answerof-8203  ' value='32765'   \/><label for='answer-id-32765' id='answer-label-32765' class=' answer'><span>59<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8203[]' id='answer-id-32766' class='answer   answerof-8203  ' value='32766'   \/><label for='answer-id-32766' id='answer-label-32766' class=' answer'><span>77<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8203[]' id='answer-id-32767' class='answer   answerof-8203  ' value='32767'   \/><label for='answer-id-32767' id='answer-label-32767' class=' answer'><span>95<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-5' style=';'><div id='questionWrap-5'  class='   watupro-question-id-8204'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>5. <\/span>What is the rule applied to form the sequences in the \"Collatz Conjecture\"?<\/div><input type='hidden' name='question_id[]' id='qID_5' value='8204' class='watupro-question-id'\/><input type='hidden' id='answerType8204' class='answerTypeCnt5' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8204'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8204[]' id='answer-id-32768' class='answer   answerof-8204  ' value='32768'   \/><label for='answer-id-32768' id='answer-label-32768' class=' answer'><span>Always add 1, 2, or 3 to the previous number.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8204[]' id='answer-id-32769' class='answer   answerof-8204  ' value='32769'   \/><label for='answer-id-32769' id='answer-label-32769' class=' answer'><span> If the number is even, multiply by 3 and add 1; if odd, take half of it.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8204[]' id='answer-id-32770' class='answer   answerof-8204  ' value='32770'   \/><label for='answer-id-32770' id='answer-label-32770' class=' answer'><span>If the number is even, take half of it; if the number is odd, multiply it by 3 and add 1.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8204[]' id='answer-id-32771' class='answer   answerof-8204  ' value='32771'   \/><label for='answer-id-32771' id='answer-label-32771' class=' answer'><span>Reverse the digits and add to the original number.<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-6' style=';'><div id='questionWrap-6'  class='   watupro-question-id-8205'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>6. <\/span>what is the largest number that can be formed using the digit in 6481?<\/div><input type='hidden' name='question_id[]' id='qID_6' value='8205' class='watupro-question-id'\/><input type='hidden' id='answerType8205' class='answerTypeCnt6' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8205'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8205[]' id='answer-id-32772' class='answer   answerof-8205  ' value='32772'   \/><label for='answer-id-32772' id='answer-label-32772' class=' answer'><span>8461<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8205[]' id='answer-id-32773' class='answer   answerof-8205  ' value='32773'   \/><label for='answer-id-32773' id='answer-label-32773' class=' answer'><span>8641<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8205[]' id='answer-id-32774' class='answer   answerof-8205  ' value='32774'   \/><label for='answer-id-32774' id='answer-label-32774' class=' answer'><span>8164<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8205[]' id='answer-id-32775' class='answer   answerof-8205  ' value='32775'   \/><label for='answer-id-32775' id='answer-label-32775' class=' answer'><span>8614<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-7' style=';'><div id='questionWrap-7'  class='   watupro-question-id-8206'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>7. <\/span>which of the following number is a palindrome?<\/div><input type='hidden' name='question_id[]' id='qID_7' value='8206' class='watupro-question-id'\/><input type='hidden' id='answerType8206' class='answerTypeCnt7' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8206'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8206[]' id='answer-id-32776' class='answer   answerof-8206  ' value='32776'   \/><label for='answer-id-32776' id='answer-label-32776' class=' answer'><span>12321<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8206[]' id='answer-id-32777' class='answer   answerof-8206  ' value='32777'   \/><label for='answer-id-32777' id='answer-label-32777' class=' answer'><span>65467<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8206[]' id='answer-id-32778' class='answer   answerof-8206  ' value='32778'   \/><label for='answer-id-32778' id='answer-label-32778' class=' answer'><span>87699<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8206[]' id='answer-id-32779' class='answer   answerof-8206  ' value='32779'   \/><label for='answer-id-32779' id='answer-label-32779' class=' answer'><span>77775<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-8' style=';'><div id='questionWrap-8'  class='   watupro-question-id-8207'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>8. <\/span>What characteristic defines a \"palindromic number\"?<\/div><input type='hidden' name='question_id[]' id='qID_8' value='8207' class='watupro-question-id'\/><input type='hidden' id='answerType8207' class='answerTypeCnt8' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8207'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8207[]' id='answer-id-32780' class='answer   answerof-8207  ' value='32780'   \/><label for='answer-id-32780' id='answer-label-32780' class=' answer'><span>A number that contains only even digits.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8207[]' id='answer-id-32781' class='answer   answerof-8207  ' value='32781'   \/><label for='answer-id-32781' id='answer-label-32781' class=' answer'><span>A number whose digits sum to a specific value.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8207[]' id='answer-id-32782' class='answer   answerof-8207  ' value='32782'   \/><label for='answer-id-32782' id='answer-label-32782' class=' answer'><span>A number that reads the same from left to right and from right to left.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8207[]' id='answer-id-32783' class='answer   answerof-8207  ' value='32783'   \/><label for='answer-id-32783' id='answer-label-32783' class=' answer'><span>A number that is the result of reversing and adding digits multiple times.<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-9' style=';'><div id='questionWrap-9'  class='   watupro-question-id-8208'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>9. <\/span>Among the numbers 1\u2013100, how many times will the digit \u20186\u2019 occur?<\/div><input type='hidden' name='question_id[]' id='qID_9' value='8208' class='watupro-question-id'\/><input type='hidden' id='answerType8208' class='answerTypeCnt9' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8208'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8208[]' id='answer-id-32784' class='answer   answerof-8208  ' value='32784'   \/><label for='answer-id-32784' id='answer-label-32784' class=' answer'><span>20<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8208[]' id='answer-id-32785' class='answer   answerof-8208  ' value='32785'   \/><label for='answer-id-32785' id='answer-label-32785' class=' answer'><span>25<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8208[]' id='answer-id-32786' class='answer   answerof-8208  ' value='32786'   \/><label for='answer-id-32786' id='answer-label-32786' class=' answer'><span>30<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8208[]' id='answer-id-32787' class='answer   answerof-8208  ' value='32787'   \/><label for='answer-id-32787' id='answer-label-32787' class=' answer'><span>15<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-10' style=';'><div id='questionWrap-10'  class='   watupro-question-id-8209'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>10. <\/span>The time now is 10:01. How many minutes until the clock shows the next palindromic time?<\/div><input type='hidden' name='question_id[]' id='qID_10' value='8209' class='watupro-question-id'\/><input type='hidden' id='answerType8209' class='answerTypeCnt10' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices8209'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8209[]' id='answer-id-32788' class='answer   answerof-8209  ' value='32788'   \/><label for='answer-id-32788' id='answer-label-32788' class=' answer'><span>60 min<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8209[]' id='answer-id-32789' class='answer   answerof-8209  ' value='32789'   \/><label for='answer-id-32789' id='answer-label-32789' class=' answer'><span>70 min<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8209[]' id='answer-id-32790' class='answer   answerof-8209  ' value='32790'   \/><label for='answer-id-32790' id='answer-label-32790' class=' answer'><span>74 min<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-8209[]' id='answer-id-32791' class='answer   answerof-8209  ' value='32791'   \/><label for='answer-id-32791' id='answer-label-32791' class=' answer'><span>59 min<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div style='display:none' id='question-11'>\n\t<div class='question-content'>\n\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/physicscatalyst.com\/testprep\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\" \/>&nbsp;Loading...\t<\/div>\n<\/div>\n\n<br \/>\n\t\n\t\t\t<div class=\"watupro_buttons flex \" id=\"watuPROButtons478\" >\n\t\t  <div id=\"prev-question\" style=\"display:none;\"><input 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