{"id":29753,"date":"2022-01-31T19:38:46","date_gmt":"2022-01-31T14:08:46","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=29753"},"modified":"2022-02-08T19:58:48","modified_gmt":"2022-02-08T14:28:48","slug":"direct-and-inverse-proportions-class-8-extra-questions-maths-chapter-13","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-8\/maths\/direct-and-inverse-proportions-class-8-extra-questions-maths-chapter-13\/","title":{"rendered":"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><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><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-8\/maths\/direct-and-inverse-proportions-class-8-extra-questions-maths-chapter-13\/#Direct_and_Inverse_Proportions_Class_8_Extra_Questions_Maths_Chapter_13\" title=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13\">Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13<\/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:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-8\/maths\/direct-and-inverse-proportions-class-8-extra-questions-maths-chapter-13\/#Direct_and_Inverse_Proportions_Class_8_Extra_Questions_Very_Short_Answer_Type\" title=\"Direct and Inverse Proportions Class 8 Extra Questions Very Short Answer Type\">Direct and Inverse Proportions Class 8 Extra Questions Very Short Answer Type<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-8\/maths\/direct-and-inverse-proportions-class-8-extra-questions-maths-chapter-13\/#Direct_and_Inverse_Proportions_Class_8_Extra_Questions_Short_Answer_Type\" title=\"Direct and Inverse Proportions Class 8 Extra Questions Short Answer Type\">Direct and Inverse Proportions Class 8 Extra Questions Short Answer Type<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Direct_and_Inverse_Proportions_Class_8_Extra_Questions_Maths_Chapter_13\"><\/span>Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Extra Questions for Class 8 Maths Chapter 13 Direct and Inverse Proportions<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Direct_and_Inverse_Proportions_Class_8_Extra_Questions_Very_Short_Answer_Type\"><\/span>Direct and Inverse Proportions Class 8 Extra Questions Very Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 1.<br \/>\nA train is moving at a uniform speed of 100 km\/h. How far will it travel in 20 minutes?<br \/>\nSolution:<br \/>\nLet the distance travelled by train in 20 minutes be x km.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035164198_1eda5456ac_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q1\" width=\"374\" height=\"74\" \/><br \/>\nSince the speed is uniform, the distance travelled will be directly proportional to time.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035164268_a316908798_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q1.1\" width=\"296\" height=\"175\" \/><br \/>\nHence, the required distance is 33\\(\\frac { 1 }{ 3 }\\) km.<\/p>\n<p>Question 2.<br \/>\nComplete the table if x and y vary directly.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035164243_4ed8eb83a9_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q2\" width=\"375\" height=\"64\" \/><br \/>\nSolution:<br \/>\nLet the blank spaces be filled with a, b and c.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035164333_bdc0ddf38e_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q2.1\" width=\"373\" height=\"335\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035227932_8ba25769cd_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q2.2\" width=\"247\" height=\"173\" \/><br \/>\nHence, the required values are a = 7, b = 15 and c = 7.5.<\/p>\n<p>Question 3.<br \/>\nIf the cost of 20 books is \u20b9 180, how much will 15 books cost?<br \/>\nSolution:<br \/>\nLet the required cost be \u20b9 x.<br \/>\nHere, the two quantities vary directly.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035228022_d26daef060_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q3\" width=\"380\" height=\"221\" \/><\/p>\n<p>Question 4.<br \/>\nIf x<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span> = 5, y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span> = 7.5, x<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span> = 7.5 then find y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span> if x and y vary directly.<br \/>\nSolution:<br \/>\nSince x and y vary directly.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035228132_ed5eddacd3_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q4\" width=\"276\" height=\"193\" \/><br \/>\nHence, the required value is 11.25.<\/p>\n<p>Question 5.<br \/>\nIf 3 kg of sugar contains 9 \u00d7 10<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sup><span style=\"font-size: 11.0pt\">8<\/span><\/sup><\/span> crystals. How many sugar crystals are there in 4 kg of sugar?<br \/>\nSolution:<br \/>\nLet the required number of crystals be x.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035120311_cb647966b2_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q5\" width=\"374\" height=\"316\" \/><br \/>\nHence, the required number of crystals = 1.2 \u00d7 10<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sup><span style=\"font-size: 11.0pt\">9<\/span><\/sup><\/span>.<\/p>\n<p>Question 6.<br \/>\nIf 15 men can do a work in 12 days, how many men will do the same work in 6 days?<br \/>\nSolution:<br \/>\nLet the required number of men be x.<br \/>\nLess days \u2192 more men.<br \/>\nThus the two quantities are inversely proportional to each other.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035120416_243a1380df_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q6\" width=\"370\" height=\"171\" \/><br \/>\nHence, the required number of days = 30.<\/p>\n<p>Question 7.<br \/>\nA train travels 112 km in 1 hour 30 minutes with a certain speed. How many kilometres it will travel in 4 hours 45 minutes with the same speed?<br \/>\nSolution:<br \/>\nLet the required distance be x km.<br \/>\nMore distance \u2192 more time<br \/>\nThus, the two quantities are directly proportional.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035164803_28d5934149_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q7\" width=\"369\" height=\"204\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035120551_1ced504a7f_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q7.1\" width=\"324\" height=\"260\" \/><br \/>\nHence, the required distance = 354.6 km.<\/p>\n<p>Question 8.<br \/>\nThe scale of a map is given as 1 : 50,000. Two villages are 5 cm apart on the map. Find the actual distance between them.<br \/>\nSolution:<br \/>\nLet the map distance be x cm and actual distance be y.<br \/>\n1 : 50,000 = x : y<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035228502_3458a060ed_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q8\" width=\"284\" height=\"201\" \/><br \/>\nHence, the required distance = 250 km.<\/p>\n<p>Question 9.<br \/>\n8 pipes are required to fill a tank in 1 hr 20 min. How long will it take if only 6 pipes of the same type are used?<br \/>\nSolution:<br \/>\nLet the required time be \u2018t\u2019 hours.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035120641_18bc3ccaf6_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q9\" width=\"376\" height=\"375\" \/><\/p>\n<p>Question 10.<br \/>\n15 men can build a wall in 42 hours, how many workers will be required for the same work in 30 hours?<br \/>\nSolution:<br \/>\nLet the required number of workers be x.<br \/>\nThe number of workers, faster will they do the work.<br \/>\nSo, the two quantities are inversely proportional.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035120671_4375940cf5_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q10\" width=\"368\" height=\"77\" \/><br \/>\nx<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span>y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span> = x<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span>y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span><br \/>\n\u21d2 42 \u00d7 15 = 30 \u00d7 x<br \/>\n\u21d2 x = 21<br \/>\nHence, the required number of men = 21<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Direct_and_Inverse_Proportions_Class_8_Extra_Questions_Short_Answer_Type\"><\/span>Direct and Inverse Proportions Class 8 Extra Questions Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 11.<br \/>\nThe volume of a gas V varies inversely as the pressure P for a given mass of the gas. Fill in the blank spaces in the following table:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035165053_cfd52591c2_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q11\" width=\"738\" height=\"122\" \/><br \/>\nSolution:<br \/>\nSince volume and pressure are inversely proportional.<br \/>\nPV = K<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035165058_c5324c8025_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q11.1\" width=\"315\" height=\"365\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035165098_0281402473_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q11.2\" width=\"264\" height=\"428\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035228827_3f93f98b4c_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q11.3\" width=\"730\" height=\"117\" \/><\/p>\n<p>Question 12.<br \/>\nThe cost of 5 metres of cloth is \u20b9 210. Tabulate the cost of 2, 4, 10 and 13 metres of cloth of the same type.<br \/>\nSolution:<br \/>\nLet the length of the cloth be x m and its cost be \u20b9 y. We have the following table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035228917_10a7454d6e_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q12\" width=\"372\" height=\"88\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035228942_c024e2e019_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q12.1\" width=\"313\" height=\"174\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035165338_321331b05a_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q12.2\" width=\"282\" height=\"415\" \/><\/p>\n<p>Question 13.<br \/>\nSix pumps working together empty a tank in 28 minutes. How long will it take to empty the tank if 4 such pumps are working together?<br \/>\nSolution:<br \/>\nLet the required time be t minutes.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035121066_d6c11f245a_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q13\" width=\"371\" height=\"86\" \/><br \/>\nLess pump \u2192 More time<br \/>\nSince there is an inverse variation.<br \/>\nx<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span>y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span> = x<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span>y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span><br \/>\n6 \u00d7 28 = 4 \u00d7 x<br \/>\nx = 42<br \/>\nHence, the required time = 42 minutes.<\/p>\n<p>Question 14.<br \/>\nMohit deposited a sum of \u20b9 12000 in a Bank at a certain rate of interest for 2 years and earns an interest of \u20b9 900. How much interest would be earned for a deposit of \u20b9 15000 for the same period and at the same rate of interest?<br \/>\nSolution:<br \/>\nLet the required amount of interest be \u20b9 x.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035227427_f35a5eba3c_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q14\" width=\"370\" height=\"213\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035227567_4c8429b15b_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q14.1\" width=\"239\" height=\"94\" \/><br \/>\nHence, the required amount of interest = \u20b9 1125.<\/p>\n<p>Question 15.<br \/>\nA garrison of 120 men has provisions for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?<br \/>\nSolution:<br \/>\nLet the number of days be x.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035119531_9d926cd3a8_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q15\" width=\"368\" height=\"74\" \/><br \/>\n[\u2235 Remaining days = 30 \u2013 5 = 25]\n[Total men = 120 + 5 = 125]\nSince there is an inverse variation.<br \/>\nx<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span>y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">1<\/span><\/sub><\/span> = x<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span>y<span class=\"MSGENFONTSTYLENAMETEMPLATEROLENUMBERMSGENFONTSTYLENAMEBYROLETEXT2MSGENFONTSTYLEMODIFERSIZE11\"><sub><span style=\"font-size: 11.0pt\">2<\/span><\/sub><\/span><br \/>\n120 \u00d7 25 = 125 \u00d7 x<br \/>\nx = 24<br \/>\nHence, the required number of days be 24.<\/p>\n<p>Question 16.<br \/>\nIn a scout camp, there is food provision for 300 cadets for 42 days. If 50 more persons join the camp, for how many days will the provision last? (NCERT Exemplar)<br \/>\nSolution:<br \/>\nMore the persons, the sooner would be the provision exhausted. So, this is a case of inverse proportion.<br \/>\nLet the required number of days be x.<br \/>\nHence, 300 \u00d7 42 = (300 + 50) \u00d7 x<br \/>\n300 \u00d7 42 = 350 \u00d7 x<br \/>\nx = 36<\/p>\n<p>Question 17.<br \/>\nIf two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes? (NCERT Exemplar)<br \/>\nSolution:<br \/>\nAs the number of boxes increases, the space required to keep them also increases.<br \/>\nSo, this is a case of direct proportion.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035163868_ea1f675364_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q17\" width=\"371\" height=\"221\" \/><br \/>\nThus, the required space is 50,000 cubic centimetres.<\/p>\n<p>Question 18.<br \/>\nUnder the condition that the temperature remains constant, the volume of gas is inversely proportional to its pressure. If the volume of gas is 630 cubic centimetres at a pressure of 360 mm of mercury, then what will be the pressure of the gas if its volume is 720 cubic centimetres at the same temperature? (NCERT Exemplar)<br \/>\nSolution:<br \/>\nGiven that, at constant temperature pressure and volume of a gas are inversely proportional.<br \/>\nLet the required pressure be x.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48035119451_2f81ed4b73_o.png\" alt=\"Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Q18\" width=\"373\" height=\"189\" \/><br \/>\nTherefore, the required pressure is 315 mm of mercury.<\/p>\n<p><img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-01.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-01\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-02.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-02\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-03.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-03\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-04.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-04\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-05.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-05\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-06.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-06\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-07.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-07\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-08.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-08\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-09.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-09\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-10.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-10\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-11.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-11\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-12.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-12\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-13.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-13\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-14.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-14\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-15.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-15\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-16.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-16\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-17.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-17\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-18.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-18\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-19.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-19\" \/><br \/>\n<img src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-20.png\" alt=\"direct-and-inverse-proportions-ncert-extra-questions-for-class-8-maths-chapter-13-20\" \/><\/p>\n<h4><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 Extra Questions for Class 8 Maths Chapter 13 Direct [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get Direct and Inverse Proportions Class 8 Extra Questions Maths Chapter 13 on Infinity 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