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ByGSpeech

ज़रा सिर तो खुजलाइए


पिछली बार आपसे एक सवाल पूछा गया थाः सीताराम अपने बाग में लगाने के लिए अमरूद के 25 पौधे लेकर आया। अपने माली गंगाराम से उसने कहा कि ये पौधे 12 कतारों में इस प्रकार लगाओ कि हर कतार में 5 पौधे हों। गंगाराम सोच में पड़ गया कि क्या करें? क्या आप गंगाराम की मदद कर सकते हैं?
पाठकों की ओर से इस सवाल के काफी सही जवाब आए लेकिन जिस बात का डर था वही हुआ। सबसे आसान हल तो खूब सारे आए परन्तु अन्य विकल्पों की कोशिश ज्यादा नहीं दिखाई दी। इस सवाल के तीन हल यहां दे रहे हैं। शायद इस सवाल के और भी हल होंगे जिन्हें आप खोजने की कोशिश कर सकते हैं।

इन तीन जवाबों में से सबसे ज्यादा हल सबसे बाएं वाले जवाब के थे। बाकी हल भी मिले लेकिन काफी कम। सही जवाब देने वालों के नाम इस प्रकार हैं:
महेश कुमार नाग, कोटगढ़, महासमुंद, छत्तीसगढ़। टीकाराम पटेल, पेंडुरुवा, जांजगीर, छत्तीसगढ़। नरेन्द्र शाह, शिहोर, गुजरात। रामावतार चौधरी, कुडली, जयपुर, राजस्थान। अंजू बघेल एवं सहपाठी, शासकीय हाई स्कूल, सिया, देवास, म. प्र. देवांशु वत्स, सुपौल, बिहार मीना, डाबड़ी, हनुमानगढ़, राजस्थान। अलका कालरा, रमेश नगर, नई दिल्ली। दिनेश कुमार विनोले, सतवास, देवास। छत्रपाल पटैल, कक्षा 10वीं, आर. एन. ए. स्कूल, पिपरिया, जिला होशंगाबाद। हेमंत कुमार बुंटे, लालागढ़, महासमुंद। दीपक सोंधिया, उमरिया, म. प्र.। चंपालाल कुशवाह, हिरनखेड़ा, होशंगाबाद। देओनीश कुमार इंगडुंग, बनी राजहरा, दुर्ग, छतीसगढ़। रविशंकर अजनेरिया, आमूपुरा, होशंगाबाद। शोभा बाजपेई, हरदा।गौतम पांड्या, होशंगाबाद। राजा शब्बीर हुसैन, शुजालपुर। लीना ओझा, शुजालपुर। शतप्रतीक, दयालबाग, आगरा।

 

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J! InfoRequestSessionProfileQueries143Log
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  • SELECT `id`,`name`,`rules`,`parent_id` FROM `j4_assets` WHERE `name` LIKE :asset OR `name` = :extension OR `parent_id` = 07.67ms345.8KBParams/libraries/src/Access/Access.php:301Copy
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  • UPDATE `j4_content` SET `hits` = (`hits` + 1) WHERE `id` = '2296'11.84ms2.55KB/libraries/src/Table/Table.php:1325Copy
  • SELECT `a`.`id`,`a`.`asset_id`,`a`.`title`,`a`.`alias`,`a`.`introtext`,`a`.`fulltext`,`a`.`state`,`a`.`catid`,`a`.`created`,`a`.`created_by`,`a`.`created_by_alias`,`a`.`modified`,`a`.`modified_by`,`a`.`checked_out`,`a`.`checked_out_time`,`a`.`publish_up`,`a`.`publish_down`,`a`.`images`,`a`.`urls`,`a`.`attribs`,`a`.`version`,`a`.`ordering`,`a`.`metakey`,`a`.`metadesc`,`a`.`access`,`a`.`hits`,`a`.`metadata`,`a`.`featured`,`a`.`language`,`fp`.`featured_up`,`fp`.`featured_down`,`c`.`title` AS `category_title`,`c`.`alias` AS `category_alias`,`c`.`access` AS `category_access`,`c`.`language` AS `category_language`,`fp`.`ordering`,`u`.`name` AS `author`,`parent`.`title` AS `parent_title`,`parent`.`id` AS `parent_id`,`parent`.`path` AS `parent_route`,`parent`.`alias` AS `parent_alias`,`parent`.`language` AS `parent_language`,ROUND(`v`.`rating_sum` / `v`.`rating_count`, 1) AS `rating`,`v`.`rating_count` AS `rating_count` FROM `j4_content` AS `a` INNER JOIN `j4_categories` AS `c` ON `c`.`id` = `a`.`catid` LEFT JOIN `j4_content_frontpage` AS `fp` ON `fp`.`content_id` = `a`.`id` LEFT JOIN `j4_users` AS `u` ON `u`.`id` = `a`.`created_by` LEFT JOIN `j4_categories` AS `parent` ON `parent`.`id` = `c`.`parent_id` LEFT JOIN `j4_content_rating` AS `v` ON `a`.`id` = `v`.`content_id` WHERE ( (`a`.`id` = :pk AND `c`.`published` > 0) AND (`a`.`publish_up` IS NULL OR `a`.`publish_up` <= :publishUp)) AND (`a`.`publish_down` IS NULL OR `a`.`publish_down` >= :publishDown) AND `a`.`state` IN (:preparedArray1,:preparedArray2)2.95ms24.63KBParams/components/com_content/src/Model/ArticleModel.php:215Copy
  • SELECT `c`.`id`,`c`.`asset_id`,`c`.`access`,`c`.`alias`,`c`.`checked_out`,`c`.`checked_out_time`,`c`.`created_time`,`c`.`created_user_id`,`c`.`description`,`c`.`extension`,`c`.`hits`,`c`.`language`,`c`.`level`,`c`.`lft`,`c`.`metadata`,`c`.`metadesc`,`c`.`metakey`,`c`.`modified_time`,`c`.`note`,`c`.`params`,`c`.`parent_id`,`c`.`path`,`c`.`published`,`c`.`rgt`,`c`.`title`,`c`.`modified_user_id`,`c`.`version`, CASE WHEN CHAR_LENGTH(`c`.`alias`) != 0 THEN CONCAT_WS(':', `c`.`id`, `c`.`alias`) ELSE `c`.`id` END as `slug` FROM `j4_categories` AS `s` INNER JOIN `j4_categories` AS `c` ON (`s`.`lft` <= `c`.`lft` AND `c`.`lft` < `s`.`rgt`) OR (`c`.`lft` < `s`.`lft` AND `s`.`rgt` < `c`.`rgt`) WHERE (`c`.`extension` = :extension OR `c`.`extension` = 'system') AND `c`.`access` IN (:preparedArray1) AND `c`.`published` = 1 AND `s`.`id` = :id ORDER BY `c`.`lft`6.28ms21.19KBParams/libraries/src/Categories/Categories.php:375Copy
  • SELECT `m`.`tag_id`,`t`.* FROM `j4_contentitem_tag_map` AS `m` INNER JOIN `j4_tags` AS `t` ON `m`.`tag_id` = `t`.`id` WHERE `m`.`type_alias` = :contentType AND `m`.`content_item_id` = :id AND `t`.`published` = 1 AND `t`.`access` IN (:preparedArray1)1.93ms5.2KBParams/libraries/src/Helper/TagsHelper.php:388Copy
  • SELECT `c`.`id`,`c`.`asset_id`,`c`.`access`,`c`.`alias`,`c`.`checked_out`,`c`.`checked_out_time`,`c`.`created_time`,`c`.`created_user_id`,`c`.`description`,`c`.`extension`,`c`.`hits`,`c`.`language`,`c`.`level`,`c`.`lft`,`c`.`metadata`,`c`.`metadesc`,`c`.`metakey`,`c`.`modified_time`,`c`.`note`,`c`.`params`,`c`.`parent_id`,`c`.`path`,`c`.`published`,`c`.`rgt`,`c`.`title`,`c`.`modified_user_id`,`c`.`version`, CASE WHEN CHAR_LENGTH(`c`.`alias`) != 0 THEN CONCAT_WS(':', `c`.`id`, `c`.`alias`) ELSE `c`.`id` END as `slug` FROM `j4_categories` AS `s` INNER JOIN `j4_categories` AS `c` ON (`s`.`lft` <= `c`.`lft` AND `c`.`lft` < `s`.`rgt`) OR (`c`.`lft` < `s`.`lft` AND `s`.`rgt` < `c`.`rgt`) WHERE (`c`.`extension` = :extension OR `c`.`extension` = 'system') AND `c`.`access` IN (:preparedArray1) AND `c`.`published` = 1 AND `s`.`id` = :id ORDER BY `c`.`lft`4.62ms21.19KBParams/libraries/src/Categories/Categories.php:375Copy
  • SELECT DISTINCT a.id, a.title, a.name, a.checked_out, a.checked_out_time, a.note, a.state, a.access, a.created_time, a.created_user_id, a.ordering, a.language, a.fieldparams, a.params, a.type, a.default_value, a.context, a.group_id, a.label, a.description, a.required, a.only_use_in_subform,l.title AS language_title, l.image AS language_image,uc.name AS editor,ag.title AS access_level,ua.name AS author_name,g.title AS group_title, g.access as group_access, g.state AS group_state, g.note as group_note FROM j4_fields AS a LEFT JOIN `j4_languages` AS l ON l.lang_code = a.language LEFT JOIN j4_users AS uc ON uc.id=a.checked_out LEFT JOIN j4_viewlevels AS ag ON ag.id = a.access LEFT JOIN j4_users AS ua ON ua.id = a.created_user_id LEFT JOIN j4_fields_groups AS g ON g.id = a.group_id LEFT JOIN `j4_fields_categories` AS fc ON fc.field_id = a.id WHERE ( (`a`.`context` = :context AND (`fc`.`category_id` IS NULL OR `fc`.`category_id` IN (:preparedArray1,:preparedArray2,:preparedArray3,:preparedArray4,:preparedArray5)) AND `a`.`access` IN (:preparedArray6)) AND (`a`.`group_id` = 0 OR `g`.`access` IN (:preparedArray7)) AND `a`.`state` = :state) AND (`a`.`group_id` = 0 OR `g`.`state` = :gstate) AND `a`.`only_use_in_subform` = :only_use_in_subform ORDER BY a.ordering ASC1.21ms6.06KBParams/libraries/src/MVC/Model/BaseDatabaseModel.php:166Copy
  • SELECT `c`.`id`,`c`.`asset_id`,`c`.`access`,`c`.`alias`,`c`.`checked_out`,`c`.`checked_out_time`,`c`.`created_time`,`c`.`created_user_id`,`c`.`description`,`c`.`extension`,`c`.`hits`,`c`.`language`,`c`.`level`,`c`.`lft`,`c`.`metadata`,`c`.`metadesc`,`c`.`metakey`,`c`.`modified_time`,`c`.`note`,`c`.`params`,`c`.`parent_id`,`c`.`path`,`c`.`published`,`c`.`rgt`,`c`.`title`,`c`.`modified_user_id`,`c`.`version`, CASE WHEN CHAR_LENGTH(`c`.`alias`) != 0 THEN CONCAT_WS(':', `c`.`id`, `c`.`alias`) ELSE `c`.`id` END as `slug` FROM `j4_categories` AS `s` INNER JOIN `j4_categories` AS `c` ON (`s`.`lft` <= `c`.`lft` AND `c`.`lft` < `s`.`rgt`) OR (`c`.`lft` < `s`.`lft` AND `s`.`rgt` < `c`.`rgt`) WHERE (`c`.`extension` = :extension OR `c`.`extension` = 'system') AND `c`.`access` IN (:preparedArray1) AND `c`.`published` = 1 AND `s`.`id` = :id ORDER BY `c`.`lft`3.99ms21.19KBParams/libraries/src/Categories/Categories.php:375Copy
  • SELECT m.id, m.title, m.module, m.position, m.content, m.showtitle, m.params,am.params AS extra, 0 AS menuid, m.publish_up, m.publish_down FROM j4_modules AS m LEFT JOIN j4_extensions AS e ON e.element = m.module AND e.client_id = m.client_id LEFT JOIN j4_advancedmodules as am ON am.module_id = m.id WHERE m.published = 1 AND e.enabled = 1 AND m.client_id = 0 ORDER BY m.position, m.ordering1.4ms50.67KB/plugins/system/advancedmodules/src/Helper.php:191Copy
  • SELECT m.condition_id,m.item_id FROM j4_conditions_map as m LEFT JOIN j4_conditions as c ON c.id = m.condition_id WHERE `m`.`extension` = 'com_advancedmodules' AND `c`.`published` = 1585μs1.75KB/administrator/components/com_conditions/src/Model/ItemModel.php:821Copy
  • SHOW FULL COLUMNS FROM `j4_conditions`1.31ms2.08KB/libraries/vendor/joomla/database/src/Mysqli/MysqliDriver.php:625Copy
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  • SELECT * FROM j4_conditions_rules as r WHERE r.group_id = 14227μs1.13KB/administrator/components/com_conditions/src/Model/GroupModel.php:108Copy
  • SELECT m.extension,m.item_id,m.table,m.name_column FROM j4_conditions_map as m WHERE m.condition_id = 14 ORDER BY m.extension,m.item_id196μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
  • SELECT `id`,`title` AS `value` FROM `j4_modules`243μs3.38KB/administrator/components/com_conditions/src/Helper/Helper.php:184Copy
  • SHOW FULL COLUMNS FROM `j4_modules`1.12ms2.2KB/libraries/vendor/joomla/database/src/Mysqli/MysqliDriver.php:625Copy
  • SELECT `id`,`published` AS `value` FROM `j4_modules`287μs14.38KB/administrator/components/com_conditions/src/Helper/Helper.php:184Copy
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  • SELECT m.extension,m.item_id,m.table,m.name_column FROM j4_conditions_map as m WHERE m.condition_id = 15 ORDER BY m.extension,m.item_id392μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
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  • SELECT a.params FROM j4_advancedmodules AS a WHERE a.module_id = 191154μs840B/plugins/system/advancedmodules/src/Helper.php:151Copy
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  • SELECT `name`,`element` FROM `j4_extensions` WHERE `type` = 'plugin' AND `folder` = 'finder' AND `enabled` = 1679μs1KB/administrator/components/com_finder/src/Helper/LanguageHelper.php:135Copy
  • SELECT `title` FROM `j4_finder_taxonomy` WHERE `parent_id` = 1 AND `state` = 1 AND `access` IN (1)843μs936B/administrator/components/com_finder/src/Indexer/Taxonomy.php:314Copy
  • SELECT a.id, a.parent_id, a.config_name, a.name, a.context, a.label, a.alias, a.display, a.state, a.access, a.root, a.ordering, a.checked_out, a.checked_out_time, a.created_time, a.updated_time, a.language,`a`.`attribs` AS `attributes` FROM `j4_jfilters_filters` AS `a` WHERE `a`.`access` IN (:preparedArray1) AND `a`.`state` IN (:preparedArray2,:preparedArray3) ORDER BY a.ordering ASC1.32ms4.52KBParams/libraries/src/MVC/Model/BaseDatabaseModel.php:166Copy
  • SELECT SUM(CASE WHEN `a`.`next_execution` <= :now THEN 1 ELSE 0 END) AS due_count,SUM(CASE WHEN `a`.`locked` IS NULL THEN 0 ELSE 1 END) AS locked_count FROM `j4_scheduler_tasks` AS `a` WHERE `a`.`state` = 1297μs1.68KBParams/administrator/components/com_scheduler/src/Model/TasksModel.php:466Copy
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