{"id":31743,"date":"2026-08-07T12:15:17","date_gmt":"2026-08-07T06:45:17","guid":{"rendered":"https:\/\/mycbseguide.com\/blog\/?p=31743"},"modified":"2026-08-07T13:24:30","modified_gmt":"2026-08-07T07:54:30","slug":"proportional-reasoning-1-ncert-solutions-class-8-maths-ganita-prakash","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/proportional-reasoning-1-ncert-solutions-class-8-maths-ganita-prakash\/","title":{"rendered":"Proportional Reasoning-1 – NCERT Solutions Class 8 Maths (Ganita Prakash)"},"content":{"rendered":"\n

Proportional Reasoning-1<\/strong> – NCERT Solutions Class 8 Maths (Ganita Prakash) includes all the questions with solutions given in the NCERT Class 8 Maths (Ganita Prakash).<\/p>\n\n\n\n

NCERT Solutions Class 8<\/h2>\n\n\nEnglish Poorvi<\/a>\n\n\nHindi Malhar<\/a>\n\n\nMaths Ganita Prakash<\/a>\n\n\nScience Curiosity<\/a>\n\n\nSocial Exploring Society<\/a>\n\n\n\n

Proportional Reasoning<\/strong><\/strong> – 1 \u2013 NCERT Solutions<\/h2>\n\n\n\n

Q.1:<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n
    \n
  1. Which images look similar and which ones look different?<\/li>\n\n\n\n
  2. Do images B and E look like the other three images?<\/li>\n\n\n\n
  3. Why?<\/li>\n<\/ol>\n\n\n\n

    Solution:<\/p>\n\n\n\n

      \n
    1. Images A, C, and D look similar, even though they have different sizes. Images B and E look different.<\/li>\n\n\n\n
    2. No, images B and E do not look like the other three images (A, C, D). Image B appears elongated, and image E appears compressed and fatter.<\/li>\n\n\n\n
    3. Images A, C, and D are similar because they all are rectangles. Image E is a square (width equals height), unlike the rectangular shapes of A, C, and D. Image B, although rectangular, does not look like images A, C, and D.  It appears to be more elongated.<\/li>\n<\/ol>\n\n\n\n

      Q.2:<\/p>\n\n\n\n


      Can we observe any pattern to answer this question? Perhaps by measuring the rectangles? What makes images A, C, and D appear similar, and B and E different?<\/p>\n\n\n\n

      Solution:<\/p>\n\n\n\n

      Image<\/strong><\/td>Width (in mm)<\/strong><\/td>Height (in mm)<\/strong><\/td><\/tr>
      Image A<\/td>60<\/td>40<\/td><\/tr>
      Image B<\/td>40<\/td>20<\/td><\/tr>
      Image C<\/td>30<\/td>20<\/td><\/tr>
      Image D<\/td>90<\/td>60<\/td><\/tr>
      Image E<\/td>60<\/td>60<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      Comparison between Image A and Image C:<\/strong><\/p>\n\n\n\n

        \n
      1. Image C is exactly half the width and half the height of Image A.<\/li>\n\n\n\n
      2. This means both the width and height are reduced by the same factor – they are divided by 2.<\/li>\n\n\n\n
      3. When both dimensions (width and height) are changed by the same factor using multiplication or division, the shape and look of the image remain the same.<\/li>\n\n\n\n
      4. Therefore, even though Image C is smaller, it looks similar to Image A.<\/li>\n<\/ol>\n\n\n\n

        Similarly compare Image A and Image D yourself<\/p>\n\n\n\n

        Comparison between Image A and Image B:<\/strong><\/p>\n\n\n\n

          \n
        1. Image B is 20 millimetres less in both width and height compared to Image A.<\/li>\n\n\n\n
        2. In this case, the change is made by subtracting a fixed amount, not by dividing or multiplying by the same number.<\/li>\n\n\n\n
        3. Also, even though the height of B is half the height of A, the width is not half – so the change is not by the same factor.<\/li>\n\n\n\n
        4. When the width and height do not change by the same factor, the shape of the image changes.<\/li>\n\n\n\n
        5. That is why Image B looks different from Image A, even though both have the same difference in size.<\/li>\n<\/ol>\n\n\n\n

          Similarly compare Image A and Image E yourself<\/p>\n\n\n\n

          Q.3:<\/p>\n\n\n\n


          Can you check by what factors the width and height of image D change as compared to image A? Are the factors the same?<\/p>\n\n\n\n

          Solution:<\/p>\n\n\n\n

          To compare Image A (60 mm width, 40 mm height) with Image D (90 mm width, 60 mm height):<\/p>\n\n\n\n