{"id":95448,"date":"2019-10-04T11:28:55","date_gmt":"2019-10-04T05:58:55","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=95448"},"modified":"2021-09-18T15:16:26","modified_gmt":"2021-09-18T09:46:26","slug":"ncert-solutions-for-class-8-maths-chapter-15-introduction-to-graphs","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-chapter-15-introduction-to-graphs\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs"},"content":{"rendered":"<h2>NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs<\/h2>\n<ul>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-chapter-15-introduction-to-graphs\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Introduction to Graphs Exercise 15.1<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-introduction-to-graphs-ex-15-2\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Introduction to Graphs Exercise 15.2<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-introduction-to-graphs-ex-15-3\/\" target=\"_blank\" rel=\"noopener noreferrer\">Class 8 Maths Introduction to Graphs Exercise 15.3<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/introduction-to-graphs-ncert-extra-questions-for-class-8-maths-ch-15\/\">Introduction to Graphs Class 8 Extra Questions<\/a><\/li>\n<\/ul>\n<p><strong>NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.1<\/strong><\/p>\n<p>Ex 15.1 Class 8 Maths Question 1.<br \/>\nThe following graph shows the temperature of a patient in a hospital, recorded every hour.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106633\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q1.png?resize=346%2C307&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q1\" width=\"346\" height=\"307\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q1.png?w=346&amp;ssl=1 346w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q1.png?resize=300%2C266&amp;ssl=1 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" data-recalc-dims=\"1\" \/><br \/>\n(a) What was the patient\u2019s temperature at 1 pm?<br \/>\n(b) When was the patient\u2019s temperature 38.5\u00b0C?<br \/>\n(c) The patient\u2019s temperature was the same two times during the period given. What were the two times?<br \/>\n(d) What was the temperature at 1:30 pm? How did you arrive at your answer?<br \/>\n(e) During which periods did the patient\u2019s temperature show an upward trend?<br \/>\nSolution:<br \/>\n(a) The patient\u2019s temperature at 1 pm was 36.5\u00b0C<br \/>\n(b) The patient\u2019s temperature was 38.5\u00b0C at 12:00 noon.<br \/>\n(c) The patients temperature was 36.5\u00b0C at 1 pm and 2 pm.<br \/>\n(d) The temperature at 1:30 pm was 36.5\u00b0C. We have taken the mid value of 1 pm. and 2 pm, i.e., 1:30 p.m and proceed perpendicularly upwards to meet the horizontal line showing 36.5\u00b0C.<br \/>\n(e) During 9 am to 10 am and 10 am to 11 am, the temperature showed upwards trend.<\/p>\n<p>Ex 15.1 Class 8 Maths\u00a0Question 2.<br \/>\nThe following line graph shows the yearly sales figures for a manufacturing company.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106634\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q2.png?resize=350%2C289&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q2\" width=\"350\" height=\"289\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q2.png?w=350&amp;ssl=1 350w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q2.png?resize=300%2C248&amp;ssl=1 300w\" sizes=\"(max-width: 350px) 100vw, 350px\" data-recalc-dims=\"1\" \/><br \/>\n(a) What were the sales in (i) 2002 (ii) 2006?<br \/>\n(b) What were the sales in (i) 2003 (ii) 2005?<br \/>\n(c) Compute the difference between the sales in 2002 and 2006.<br \/>\n(d) In which year was there the greatest difference between the sales as compared to its previous year?<br \/>\nSolution:<br \/>\n(a) The sales in the year 2002 was \u20b9 4 crore and in the year 2006 was \u20b9 8 crore.<br \/>\n(b) The sales in the year 2003 was \u20b9 7 crore and in 2005 was \u20b9 10 crore.<br \/>\n(c) Sales in 2002 = \u20b9 4 crore<br \/>\nSales in 2006 = \u20b9 8 crores<br \/>\nDifference = \u20b9 (8 &#8211; 4) crore = \u20b9 4 crore.<br \/>\n(d) The greatest difference between the sales was in the year 2005, as compared to previous year.<\/p>\n<p>Ex 15.1 Class 8 Maths\u00a0Question 3.<br \/>\nFor an experiment in Botany, two different plants, plant A and plant B, were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106635\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q3.png?resize=344%2C306&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q3\" width=\"344\" height=\"306\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q3.png?w=344&amp;ssl=1 344w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q3.png?resize=300%2C267&amp;ssl=1 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" data-recalc-dims=\"1\" \/><br \/>\n(a) How high was plant A after (i) 2 weeks (ii) 3 weeks<br \/>\n(b) How high was plant B after (i) 2 weeks (ii) 3 weeks<br \/>\n(c) How much did plant A grow during the 3rd week?<br \/>\n(d) How much did plant B grow from the end of the 2nd week to the end of the 3rd week?<br \/>\n(e) During which week did plant A grow most?<br \/>\n(f) During which week did plant B grow least?<br \/>\n(g) Were the two plants of the same height during any week shown here? Specify.<br \/>\nSolution:<br \/>\n(a) The height of plant A (i) after 2 weeks was 7 cm (ii) after 3 weeks was 9 cm.<br \/>\n(b) The height of plant B (i) after 2 weeks was 7 cm (ii) after 3 weeks was 10 cm.<br \/>\n(c) Plant A grew 7 cm to 9 cm i.e, 2 cm.<br \/>\n(d) Plant B grew 7 cm to 10 cm i.e., 3 cm.<br \/>\n(e) Plant A grew most in a 2nd week i.e., 5 cm.<br \/>\n(f) Plant B grew the least in a first week i.e., 1 cm.<br \/>\n(g) Yes, the two plants grew the same height at the end of 2nd week i.e., 7 cm.<\/p>\n<p>Ex 15.1 Class 8 Maths\u00a0Question 4.<br \/>\nThe following graph shows the temperature forecast and the actual temperature for each day of a week.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106636\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q4.png?resize=349%2C319&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q4\" width=\"349\" height=\"319\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q4.png?w=349&amp;ssl=1 349w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q4.png?resize=300%2C274&amp;ssl=1 300w\" sizes=\"(max-width: 349px) 100vw, 349px\" data-recalc-dims=\"1\" \/><br \/>\n(a) On which days was the forecast temperature the same as the actual temperature?<br \/>\n(b) What was the maximum forecast temperature during the week?<br \/>\n(c) What was the minimum actual temperature during the week?<br \/>\n(d) On which day did the actual temperature differ the most from the forecast temperature?<br \/>\nSolution:<br \/>\n(a) On Tuesday, Friday and Sunday, the forecast temperature was the same as the actual temperature i.e., 20\u00b0C, 15\u00b0C and 35\u00b0C respectively.<br \/>\n(b) The forecast maximum temperature during the week was 35\u00b0C<br \/>\n(c) The minimum actual temperature during the week was 17.5\u00b0C<br \/>\n(d) On Thursday, the actual temperature differed the most from the forecast temperature<br \/>\ni.e., 22.5\u00b0C &#8211; 15\u00b0C = 7.5\u00b0C.<\/p>\n<p>Ex 15.1 Class 8 Maths\u00a0Question 5.<br \/>\nUse the tables below to draw linear graphs.<br \/>\n(a) The number of days a hillside city recovered show in different years.<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"70\">Year<\/td>\n<td style=\"text-align: center;\" width=\"51\">2003<\/td>\n<td style=\"text-align: center;\" width=\"48\">2004<\/td>\n<td style=\"text-align: center;\" width=\"48\">2005<\/td>\n<td style=\"text-align: center;\" width=\"49\">2006<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"70\">Days<\/td>\n<td style=\"text-align: center;\" width=\"51\">8<\/td>\n<td style=\"text-align: center;\" width=\"48\">10<\/td>\n<td style=\"text-align: center;\" width=\"48\">5<\/td>\n<td style=\"text-align: center;\" width=\"49\">12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>(b) Population (in thousands) of men and women in a village is different years.<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td width=\"72\">Year<\/td>\n<td style=\"text-align: center;\" width=\"39\">2003<\/td>\n<td style=\"text-align: center;\" width=\"40\">2004<\/td>\n<td style=\"text-align: center;\" width=\"39\">2005<\/td>\n<td style=\"text-align: center;\" width=\"39\">2006<\/td>\n<td style=\"text-align: center;\" width=\"37\">2007<\/td>\n<\/tr>\n<tr>\n<td width=\"72\">Number of men<\/td>\n<td style=\"text-align: center;\" width=\"39\">12<\/td>\n<td style=\"text-align: center;\" width=\"40\">12.5<\/td>\n<td style=\"text-align: center;\" width=\"39\">13<\/td>\n<td style=\"text-align: center;\" width=\"39\">13.2<\/td>\n<td style=\"text-align: center;\" width=\"37\">13.5<\/td>\n<\/tr>\n<tr>\n<td width=\"72\">Number of women<\/td>\n<td style=\"text-align: center;\" width=\"39\">11.3<\/td>\n<td style=\"text-align: center;\" width=\"40\">11.9<\/td>\n<td style=\"text-align: center;\" width=\"39\">13<\/td>\n<td style=\"text-align: center;\" width=\"39\">13.6<\/td>\n<td style=\"text-align: center;\" width=\"37\">12.8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Solution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106638\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q5.png?resize=355%2C447&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q5\" width=\"355\" height=\"447\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q5.png?w=355&amp;ssl=1 355w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q5.png?resize=238%2C300&amp;ssl=1 238w\" sizes=\"(max-width: 355px) 100vw, 355px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106637\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q5.1.png?resize=365%2C346&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q5.1\" width=\"365\" height=\"346\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q5.1.png?w=365&amp;ssl=1 365w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q5.1.png?resize=300%2C284&amp;ssl=1 300w\" sizes=\"(max-width: 365px) 100vw, 365px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 15.1 Class 8 Maths\u00a0Question 6.<br \/>\nA courier-person cycle from a town to a neighbouring suburban area to deliver a parcel to the merchant. His distance from the town at different times is shown by the following graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106639\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q6.png?resize=340%2C252&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q6\" width=\"340\" height=\"252\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q6.png?w=340&amp;ssl=1 340w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q6.png?resize=300%2C222&amp;ssl=1 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" data-recalc-dims=\"1\" \/><br \/>\n(a) What is the scale taken for the time axis?<br \/>\n(b) How much time did the person take for travel?<br \/>\n(c) How far is the place of the merchant from the town?<br \/>\n(d) Did the person stop on his way? Explain?<br \/>\n(e) During which period did he ride fastest?<br \/>\nSolution:<br \/>\n(a) Scale taken on time-axis i.e., the x-axis is 4 units = 1 hour<br \/>\n(b) Total time taken by the person for the total journey is 3 hours 30 minutes.<br \/>\n(c) The place of the merchant is at a distant of 22 km from the town.<br \/>\n(d) Yes, this is indicated by the horizontal part of the graph clearly the person stopped from 10 am to 10:30 am.<br \/>\n(e) He rode fastest between 8 am and 9 am.<\/p>\n<p>Ex 15.1 Class 8 Maths\u00a0Question 7.<br \/>\nCan there be a time-temperature graph as follows? Justify your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106641\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q7.png?resize=228%2C389&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q7\" width=\"228\" height=\"389\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q7.png?w=228&amp;ssl=1 228w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q7.png?resize=176%2C300&amp;ssl=1 176w\" sizes=\"(max-width: 228px) 100vw, 228px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106640\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q7.1.png?resize=232%2C391&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 Q7.1\" width=\"232\" height=\"391\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q7.1.png?w=232&amp;ssl=1 232w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-Q7.1.png?resize=178%2C300&amp;ssl=1 178w\" sizes=\"(max-width: 232px) 100vw, 232px\" data-recalc-dims=\"1\" \/><br \/>\nSolution:<br \/>\n(i) It represents a time-temperature graph where temperature increases as the time increase.<br \/>\n(ii) It shows a time-temperature graph where temperature decreases as the time increases.<br \/>\n(iii) It does not represent a time-temperature graph. Here the temperature is increasing at a constant time which is not possible.<br \/>\n(iv) It represents a time-temperature graph where the temperature remains constant when the time is increasing.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106642\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-1.png?resize=692%2C679&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-1\" width=\"692\" height=\"679\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-1.png?w=692&amp;ssl=1 692w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-1.png?resize=300%2C294&amp;ssl=1 300w\" sizes=\"(max-width: 692px) 100vw, 692px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106643\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-2.png?resize=688%2C704&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-2\" width=\"688\" height=\"704\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-2.png?w=688&amp;ssl=1 688w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-2.png?resize=293%2C300&amp;ssl=1 293w\" sizes=\"(max-width: 688px) 100vw, 688px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106644\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-3.png?resize=683%2C585&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-3\" width=\"683\" height=\"585\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-3.png?w=683&amp;ssl=1 683w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-3.png?resize=300%2C257&amp;ssl=1 300w\" sizes=\"(max-width: 683px) 100vw, 683px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106645\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-4.png?resize=666%2C725&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-4\" width=\"666\" height=\"725\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-4.png?w=666&amp;ssl=1 666w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-4.png?resize=276%2C300&amp;ssl=1 276w\" sizes=\"(max-width: 666px) 100vw, 666px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106646\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-5.png?resize=688%2C732&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-5\" width=\"688\" height=\"732\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-5.png?w=688&amp;ssl=1 688w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-5.png?resize=282%2C300&amp;ssl=1 282w\" sizes=\"(max-width: 688px) 100vw, 688px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106647\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-6.png?resize=687%2C715&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-6\" width=\"687\" height=\"715\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-6.png?w=687&amp;ssl=1 687w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-6.png?resize=288%2C300&amp;ssl=1 288w\" sizes=\"(max-width: 687px) 100vw, 687px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106649\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-7.png?resize=683%2C716&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-7\" width=\"683\" height=\"716\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-7.png?w=683&amp;ssl=1 683w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-7.png?resize=286%2C300&amp;ssl=1 286w\" sizes=\"(max-width: 683px) 100vw, 683px\" data-recalc-dims=\"1\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106648\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-7.1.png?resize=690%2C567&#038;ssl=1\" alt=\"NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.1 q-7.1\" width=\"690\" height=\"567\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-7.1.png?w=690&amp;ssl=1 690w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/10\/NCERT-Solutions-for-Class-8-Maths-Chapter-15-Introduction-to-Graphs-Ex-15.1-q-7.1.png?resize=300%2C247&amp;ssl=1 300w\" sizes=\"(max-width: 690px) 100vw, 690px\" data-recalc-dims=\"1\" \/><\/p>\n<h4>More CBSE Class 8 Study Material<\/h4>\n<ul>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths\/\">NCERT Solutions for Class 8 Maths<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-science\/\">NCERT Solutions for Class 8 Science<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-social-science\/\">NCERT Solutions for Class 8 Social Science<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-8-english\/\">NCERT Solutions for Class 8 English<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-english-honeydew\/\">NCERT Solutions for Class 8 English Honeydew<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-english-it-so-happened\/\">NCERT Solutions for Class 8 English It So Happened<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-hindi\/\">NCERT Solutions for Class 8 Hindi<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-8-sanskrit\/\">NCERT Solutions for Class 8 Sanskrit<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-2\/\">NCERT Solutions<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Class 8 Maths Introduction to Graphs Exercise 15.1 Class 8 Maths Introduction to Graphs Exercise 15.2 Class 8 Maths Introduction to Graphs Exercise 15.3 Introduction to Graphs Class 8 Extra Questions NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.1 &hellip;<\/p>\n","protected":false},"author":27,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.2 (Yoast SEO v17.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs - CBSE Labs<\/title>\n<meta name=\"robots\" content=\"index, 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