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ByGSpeech

ज़रा सिर तो खुजलाइए-2


कटा जग बना वर्ग

पिछले अंक की पहेली में इस जग को दो सीधी रेखाओं के सहारे तीन ऐसे हिस्सों में काटना था कि उन्हें जोड़ दें तो वर्ग की आकृति बन जाए। चित्र-1 जग का है। चित्र-2 में दो रेखाओं से इसे काटा गया है। और तीसरे चित्र में इन टुकड़ों को जोड़कर बना वर्ग है।

कई जवाब ऐसे आए हैं जिनमें दो सीधी रेखाओं से जग के चार हिस्से कर दिए हैं और फिर उनसे वर्ग बनाया है। परन्तु क्योंकि पहेली में तीन हिस्से करने को कहा गया था उसलिए इस उलझन के सही जवाब केवल इन्हीं के हैं:

1. बालकिशन, अध्यापक, जिला भिवानी, हरियाणा
2. अमरदीप सिंह, दसवीं, संतनगर, सिरसा, हरियाणा
3. मुकेश त्रिवेदी, आगर, शाजापुर, म.प्र.
4. पीयूष वैष्णव, बारहवीं, नरसिंहगढ़, जिला राजगढ़, म.प्र.
5. तुषार ताम्हाणे, सुविद्या, बैंगलोर, कर्नाटक

 

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J! InfoRequestSessionProfileQueries143Log
14.534MBMemory Usage345msRequest Duration
Joomla! Version4.4.5
PHP Version8.1.31
Identityguest
Response200
Templatej51_maya
Database
Server
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Version
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Collation
utf8mb4_0900_ai_ci
Conn Collation
utf8mb4_0900_ai_ci
$_GET
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$_POST
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$_SERVER
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  • beforeRenderModule mod_menu () (696B) (20μs)
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  • beforeRenderModule mod_menu () (696B) (19μs)
  • afterRenderModule mod_menu () (26.27KB) (222μs)
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  • afterRenderModule mod_menu () (1.64KB) (102μs)
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143 statements were executed, 3 of which were duplicates, 140 unique118ms3.9MB
UniquesDuplicates 1
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  • 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)1.01ms8.63KBParams/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`4.41ms21.19KBParams/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)746μs5.2KBParams/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`5.42ms21.19KBParams/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 ASC998μs6.06KBParams/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`4.83ms21.19KBParams/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.ordering1.6ms50.67KB/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` = 1442μs1.75KB/administrator/components/com_conditions/src/Model/ItemModel.php:821Copy
  • SHOW FULL COLUMNS FROM `j4_conditions`969μs2.08KB/libraries/vendor/joomla/database/src/Mysqli/MysqliDriver.php:625Copy
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  • SELECT * FROM j4_conditions_rules as r WHERE r.group_id = 14250μs1.13KB/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_id197μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
  • SELECT `id`,`title` AS `value` FROM `j4_modules`302μs3.38KB/administrator/components/com_conditions/src/Helper/Helper.php:184Copy
  • SHOW FULL COLUMNS FROM `j4_modules`1.51ms2.2KB/libraries/vendor/joomla/database/src/Mysqli/MysqliDriver.php:625Copy
  • SELECT `id`,`published` AS `value` FROM `j4_modules`232μs14.38KB/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_id146μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
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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 = 16 ORDER BY m.extension,m.item_id126μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
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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 = 18 ORDER BY m.extension,m.item_id108μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
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  • SELECT * FROM j4_conditions_rules as r WHERE r.group_id = 1131μs1.14KB/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 = 1 ORDER BY m.extension,m.item_id131μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
  • SELECT * FROM `j4_conditions` WHERE `id` = '2'263μs2.06KB/libraries/src/Table/Table.php:755Copy
  • SELECT * FROM j4_conditions_groups as g WHERE g.condition_id = 2158μs1KB/administrator/components/com_conditions/src/Model/ItemModel.php:1034Copy
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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 = 2 ORDER BY m.extension,m.item_id270μs17KB/administrator/components/com_conditions/src/Model/ItemModel.php:907Copy
  • SELECT a.params FROM j4_advancedmodules AS a WHERE a.module_id = 191522μs840B/plugins/system/advancedmodules/src/Helper.php:151Copy
  • SELECT a.params FROM j4_advancedmodules AS a WHERE a.module_id = 189133μs840B/plugins/system/advancedmodules/src/Helper.php:151Copy
  • SELECT a.params FROM j4_advancedmodules AS a WHERE a.module_id = 188130μs840B/plugins/system/advancedmodules/src/Helper.php:151Copy
  • SELECT a.params FROM j4_advancedmodules AS a WHERE a.module_id = 185168μs840B/plugins/system/advancedmodules/src/Helper.php:151Copy
  • SELECT `metakey` FROM `j4_content` WHERE `id` = :id468μs1.63KBParams/modules/mod_related_items/src/Helper/RelatedItemsHelper.php:88Copy
  • SELECT a.params FROM j4_advancedmodules AS a WHERE a.module_id = 223188μs840B/plugins/system/advancedmodules/src/Helper.php:151Copy
  • SELECT `a`.`id`,`a`.`title`,`a`.`alias`,`a`.`introtext`,`a`.`fulltext`,`a`.`checked_out`,`a`.`checked_out_time`,`a`.`catid`,`a`.`created`,`a`.`created_by`,`a`.`created_by_alias`,`a`.`modified`,`a`.`modified_by`,CASE WHEN `a`.`publish_up` IS NULL THEN `a`.`created` ELSE `a`.`publish_up` END AS `publish_up`,`a`.`publish_down`,`a`.`images`,`a`.`urls`,`a`.`attribs`,`a`.`metadata`,`a`.`metakey`,`a`.`metadesc`,`a`.`access`,`a`.`hits`,`a`.`featured`,`a`.`language`,LENGTH(`a`.`fulltext`) AS `readmore`,`a`.`ordering`,`fp`.`featured_up`,`fp`.`featured_down`,CASE WHEN `c`.`published` = 2 AND `a`.`state` > 0 THEN 2 WHEN `c`.`published` != 1 THEN 0 ELSE `a`.`state` END AS `state`,`c`.`title` AS `category_title`,`c`.`path` AS `category_route`,`c`.`access` AS `category_access`,`c`.`alias` AS `category_alias`,`c`.`language` AS `category_language`,`c`.`published`,`c`.`published` AS `parents_published`,`c`.`lft`,CASE WHEN `a`.`created_by_alias` > ' ' THEN `a`.`created_by_alias` ELSE `ua`.`name` END AS `author`,`ua`.`email` AS `author_email`,`uam`.`name` AS `modified_by_name`,`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`,COALESCE(NULLIF(ROUND(`v`.`rating_sum` / `v`.`rating_count`, 1), 0), 0) AS `rating`,COALESCE(NULLIF(`v`.`rating_count`, 0), 0) AS `rating_count` FROM `j4_content` AS `a` LEFT JOIN `j4_categories` AS `c` ON `c`.`id` = `a`.`catid` LEFT JOIN `j4_users` AS `ua` ON `ua`.`id` = `a`.`created_by` LEFT JOIN `j4_users` AS `uam` ON `uam`.`id` = `a`.`modified_by` LEFT JOIN `j4_categories` AS `parent` ON `parent`.`id` = `c`.`parent_id` LEFT JOIN `j4_content_frontpage` AS `fp` ON `fp`.`content_id` = `a`.`id` LEFT JOIN `j4_content_rating` AS `v` ON `a`.`id` = `v`.`content_id` WHERE `a`.`access` IN (:preparedArray1) AND `c`.`access` IN (:preparedArray2) AND `c`.`published` = 1 AND `a`.`state` = :condition AND `a`.`catid` IN (:preparedArray3) AND (`a`.`publish_up` IS NULL OR `a`.`publish_up` <= :publishUp) AND (`a`.`publish_down` IS NULL OR `a`.`publish_down` >= :publishDown) ORDER BY a.ordering ASC9.76ms917.12KBParams/libraries/src/MVC/Model/BaseDatabaseModel.php:166Copy
  • SELECT a.params FROM j4_advancedmodules AS a WHERE a.module_id = 224357μs840B/plugins/system/advancedmodules/src/Helper.php:151Copy
  • SELECT `name`,`element` FROM `j4_extensions` WHERE `type` = 'plugin' AND `folder` = 'finder' AND `enabled` = 1689μs1KB/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)1.01ms936B/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 ASC1.44ms4.52KBParams/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` = 1796μs1.68KBParams/administrator/components/com_scheduler/src/Model/TasksModel.php:466Copy
  • SELECT `session_id` FROM `j4_session` WHERE `session_id` = ?342μs1.63KBParams/libraries/vendor/joomla/session/src/Handler/DatabaseHandler.php:291Copy
  • UPDATE `j4_session` SET `data` = ? , `time` = ? WHERE `session_id` = ?314μs912BParams/libraries/vendor/joomla/session/src/Handler/DatabaseHandler.php:318Copy