{"id":125256,"date":"2021-09-10T20:19:01","date_gmt":"2021-09-10T14:49:01","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125256"},"modified":"2021-09-10T20:19:05","modified_gmt":"2021-09-10T14:49:05","slug":"rd-sharma-class-9-solutions-chapter-25-exercise-25-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-25-exercise-25-1\/","title":{"rendered":"RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-126686\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-25-Exercise-25.1.jpg\" alt=\"RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 \" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-25-Exercise-25.1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-25-Exercise-25.1-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\"><strong>RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1<\/strong>: You can get the detailed solutions PDF for <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solution-class-9-maths-chapter-25-probability\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Class 9 Solutions Chapter 25<\/a> Exercise 25.1. These solutions are created by our experts which will help students for their Class 9 exams.\u00a0<\/span><\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-for-maths\/\" target=\"_blank\" rel=\"noopener\"><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Maths Solutions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Maths Solutions<\/span><\/a><\/li>\n<\/ul>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d2951e7192e\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" 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class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-25-exercise-25-1\/#is-rd-sharma-enough-for-class-12-maths\" title=\"Is RD Sharma enough for Class 12 Maths?\">Is RD Sharma enough for Class 12 Maths?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-9-solutions-chapter-25-exercise-251\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-SHARMA-Solutions-Class-9-Maths-Chapter-25-Ex-25.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-SHARMA-Solutions-Class-9-Maths-Chapter-25-Ex-25.1.pdf\">RD-SHARMA-Solutions-Class-9-Maths-Chapter-25-Ex-25.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-rd-sharma-class-9-solutions-chapter-25-exercise-251\"><\/span>Access <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Question 1: A coin is tossed 1000 times with the following sequence:<\/strong><\/p>\n<p><strong>Head: 455, Tail: 545<\/strong><\/p>\n<p><strong>Compute the probability of each event.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Coin is tossed 1000 times, which means, number of trials are 1000.<\/p>\n<p>Let us consider, event of getting head and event of getting tail be E and F respectively.<\/p>\n<p>Number of favorable outcome = Number of trials in which the E happens = 455<\/p>\n<p>So, Probability of E = (Number of favorable outcome) \/ (Total number of trials)<\/p>\n<p>P(E) = 455\/1000 = 0.455<\/p>\n<p>Similarly,<\/p>\n<p>Number of favorable outcome = Number of trials in which the F happens = 545<\/p>\n<p>Probability of the event getting a tail, P(F) = 545\/1000 = 0.545<\/p>\n<p><strong>Question 2: Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes:<\/strong><\/p>\n<p><strong>Two heads: 95 times<\/strong><\/p>\n<p><strong>One tail: 290 times<\/strong><\/p>\n<p><strong>No head : 115 times<\/strong><\/p>\n<p><strong>Find the probability of occurrence of each of these events.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We know that, Probability of any event = (Number of favorable outcome) \/ (Total number of trials)<\/p>\n<p>Total number of trials = 95 + 290 + 115 = 500<\/p>\n<p>Now,<\/p>\n<p>P(Getting two heads) = 95\/500 = 0.19<\/p>\n<p>P(Getting one tail) = 290\/500 = 0.58<\/p>\n<p>P(Getting no head) = 115\/500 = 0.23<\/p>\n<p><strong>Question 3: Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes:<\/strong><\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong>Outcome<\/strong><\/td>\n<td><strong>No head<\/strong><\/td>\n<td><strong>One head<\/strong><\/td>\n<td><strong>Two heads<\/strong><\/td>\n<td><strong>Three heads<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Frequency<\/strong><\/td>\n<td><strong>14<\/strong><\/td>\n<td><strong>38<\/strong><\/td>\n<td><strong>36<\/strong><\/td>\n<td><strong>12<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><strong>If the three coins are simultaneously tossed again, compute the probability of:<\/strong><\/p>\n<p><strong>(i) 2 heads coming up<\/strong><\/p>\n<p><strong>(ii) 3 heads coming up<\/strong><\/p>\n<p><strong>(iii) At least one head coming up<\/strong><\/p>\n<p><strong>(iv) Getting more heads than tails<\/strong><\/p>\n<p><strong>(v) Getting more tails than heads<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We know, Probability of an event = (Number of Favorable outcomes) \/ (Total Numbers of outcomes)<\/p>\n<p>In this case, total numbers of outcomes = 100.<\/p>\n<p><strong>(i)<\/strong>\u00a0Probability of 2 Heads coming up = 36\/100 = 0.36<\/p>\n<p><strong>(ii)<\/strong>\u00a0Probability of 3 Heads coming up = 12\/100 = 0.12<\/p>\n<p><strong>(iii)<\/strong>\u00a0Probability of at least one head coming up = (38+36+12) \/ 100 = 86\/100 = 0.86<\/p>\n<p><strong>(iv)<\/strong>\u00a0Probability of getting more Heads than Tails = (36+12)\/100 = 48\/100 = 0.48<\/p>\n<p><strong>(v)<\/strong>\u00a0Probability of getting more tails than heads = (14+38) \/ 100 = 52\/100 = 0.52<\/p>\n<p><strong>Question 4: 1500 families with 2 children were selected randomly, and the following data were recorded:<\/strong><\/p>\n<p><img class=\"alignnone size-full wp-image-125283\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/Chapter-25-1.png\" alt=\"\" width=\"410\" height=\"81\"><\/p>\n<p><strong>If a family is chosen at random, compute the probability that it has:<\/strong><\/p>\n<p><strong>(i) No girl (ii) 1 girl (iii) 2 girls (iv) At most one girl (v) More girls than boys<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We know, Probability of an event = (Number of Favorable outcomes) \/ (Total Numbers of outcomes)<\/p>\n<p>In this case, total numbers of outcomes = 211 + 814 + 475 = 1500.<\/p>\n<p>(Here, total numbers of outcomes = total number of families)<\/p>\n<p><strong>(i)<\/strong>\u00a0Probability of having no girl = 211\/1500 = 0.1406<\/p>\n<p><strong>(ii)<\/strong>\u00a0Probability of having 1 girl = 814\/1500 = 0.5426<\/p>\n<p><strong>(iii)<\/strong>\u00a0Probability of having 2 girls = 475\/1500 = 0.3166<\/p>\n<p><strong>(iv)<\/strong>\u00a0Probability of having at the most one girl = (211+814) \/1500 = 1025\/1500 = 0.6833<\/p>\n<p><strong>(v)<\/strong>\u00a0Probability of having more girls than boys = 475\/1500 = 0.31<\/p>\n<p><strong>Question 5: In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays. Find the probability that on a ball played:<\/strong><\/p>\n<p><strong>(i) He hits boundary (ii) He does not hit a boundary.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Total number of balls played by a player = 30<\/p>\n<p>Number of times he hits a boundary = 6<\/p>\n<p>Number of times he does not hit a boundary = 30 \u2013 6 = 24<\/p>\n<p>We know, Probability of an event = (Number of Favorable outcomes) \/ (Total Numbers of outcomes)<\/p>\n<p>Now,<\/p>\n<p><strong>(i)<\/strong>\u00a0Probability (he hits boundary) = (Number of times he hit a boundary) \/ (Total number of balls he played)<\/p>\n<p>= 6\/30 = 1\/5<\/p>\n<p><strong>(ii)<\/strong>\u00a0Probability that the batsman does not hit a boundary = 24\/30 = 4\/5<\/p>\n<p><strong>Question 6: The percentage of marks obtained by a student in monthly unit tests are given below:<\/strong><\/p>\n<p><img class=\"alignnone size-full wp-image-125284\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/chapter-25-2.png\" alt=\"\" width=\"485\" height=\"103\"><\/p>\n<p><strong>Find the probability that the student gets<\/strong><\/p>\n<p><strong>(i) More than 70% marks<\/strong><\/p>\n<p><strong>(ii) Less than 70% marks<\/strong><\/p>\n<p><strong>(iii) A distinction<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Total number of unit tests taken = 5<\/p>\n<p>We know, Probability of an event = (Number of Favorable outcomes) \/ (Total Numbers of outcomes)<\/p>\n<p><strong>(i)<\/strong>\u00a0Number of times student got more than 70% = 3<\/p>\n<p>Probability (Getting more than 70%) = 3\/5 = 0.6<\/p>\n<p><strong>(ii)<\/strong>\u00a0Number of times student got less than 70% = 2<\/p>\n<p>Probability (Getting less than 70%) = 2\/5 = 0.4<\/p>\n<p><strong>(iii)<\/strong>\u00a0Number of times student got a distinction = 1<\/p>\n<p>[Marks more than 75%]<\/p>\n<p>Probability (Getting a distinction) = 1\/5 = 0.2<\/p>\n<p><strong>Question 7: To know the opinion of the students about Mathematics, a survey of 200 students were conducted. The data was recorded in the following table:<\/strong><\/p>\n<p><img class=\"alignnone size-full wp-image-125285\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/chapter-25-3.png\" alt=\"\" width=\"333\" height=\"69\"><\/p>\n<p><strong>Find the probability that student chosen at random:<\/strong><\/p>\n<p><strong>(i) Likes Mathematics (ii) Does not like it.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Total number of students = 200<\/p>\n<p>Students like mathematics = 135<\/p>\n<p>Students dislike Mathematics = 65<\/p>\n<p>We know, Probability of an event = (Number of Favorable outcomes) \/ (Total Numbers of outcomes)<\/p>\n<p>(i) Probability (Student likes mathematics) = 135\/200 = 0.675<\/p>\n<p>(ii) Probability (Student does not like mathematics) = 65\/200 = 0.325<\/p>\n<p>We have included all the information regarding <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1<\/span><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 20 Exercise 20.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">. If you have any query feel free to ask in the comment section.\u00a0<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-rd-sharma-class-9-solutions-chapter-25-exercise-251\"><\/span>FAQ: <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4540,&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:[null,2,0]},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1631083485966\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-open-rd-sharma-class-9-solutions-chapter-25-exercise-251-pdf-on-my-smartphone\"><\/span>Can I open RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 PDF on my smartphone?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can open RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 PDF on any device.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631083540685\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-rd-sharma-class-9-solutions-chapter-25-exercise-251-pdf-free\"><\/span>Can I download RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 PDF free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 PDF free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631083544048\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-studying-rd-sharma-class-9-solutions\"><\/span>What are the benefits of studying RD Sharma Class 9 Solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>By practicing RD Sharma Class 9 Solutions, students can earn higher academic grades. Our experts solve these solutions with utmost accuracy to help students in their studies.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631083545279\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-rd-sharma-enough-for-class-12-maths\"><\/span>Is RD Sharma enough for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>RD Sharma is a good book that gives you thousands of questions to practice.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1: You can get the detailed solutions PDF for RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1. These solutions are created by our experts which will help students for their Class 9 exams.\u00a0 RD Sharma Class 9 Maths Solutions Download RD Sharma Class 9 Solutions Chapter &#8230; <a title=\"RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-25-exercise-25-1\/\" aria-label=\"More on RD Sharma Class 9 Solutions Chapter 25 Exercise 25.1 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":126686,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73719],"tags":[76786,76816],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125256"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=125256"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125256\/revisions"}],"predecessor-version":[{"id":126688,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125256\/revisions\/126688"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/126686"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125256"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125256"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}