{"id":21010,"date":"2023-05-13T14:35:00","date_gmt":"2023-05-13T09:05:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21010"},"modified":"2023-05-24T13:46:27","modified_gmt":"2023-05-24T08:16:27","slug":"quant-og-304-solution-if-p-r-s-are-consecutive","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/quant-og-304-solution-if-p-r-s-are-consecutive\/","title":{"rendered":"If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers – OG 2020 Question #304 with Solution"},"content":{"rendered":"A <\/span> 2<\/span> min read <\/span><\/span>\n

<\/p>\n\n\n\n

OG 2020: Question No. 304<\/h2>\n\n\n\n

If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers, what is the value of x?<\/p>\n\n\n\n

  1. Twice x is equal to the sum of p, r, and s.<\/li>
  2. The sum of p, r, and s is zero.<\/li><\/ol>\n\n\n\n
    Source<\/td>OG 2020<\/td><\/tr>
    Type<\/td>Data Sufficiency<\/td><\/tr>
    Topic<\/td>Number Properties<\/td><\/tr>
    Sub-Topic<\/td>Statistics<\/td><\/tr>
    Difficulty<\/td>Easy<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    Solution<\/h3>\n\n\n\n

    Steps 1 & 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n\n\n\n

    In this question, we are given<\/p>\n\n\n\n

    • The numbers p, r, and s are consecutive integers in ascending order.<\/li>
    • x is the average (arithmetic mean) of the three integers.<\/li><\/ul>\n\n\n\n

      We need to determine<\/p>\n\n\n\n

      • The value of x.<\/li><\/ul>\n\n\n\n

        As x is the average of p, r, and s, we can write x = (p + r + s)\/3 –(A)\u00a0<\/p>\n\n\n\n

        Therefore, to find the value of x, we need to know either the individual values of p, r, and s, or their sum.<\/p>\n\n\n\n

        With this understanding, let us now analyse the individual statements.<\/p>\n\n\n\n

        Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n

        As per the information given in statement 1, twice x is equal to the sum of p, r, and s.<\/p>\n\n\n\n

        • 2x = p + r + s<\/li><\/ul>\n\n\n\n

          We also know that 3x = p + r + s — (From (A)).<\/p>\n\n\n\n

          Therefore, we can write 2x = 3x<\/p>\n\n\n\n

          Or, x = 0<\/p>\n\n\n\n

          As we can determine the value of x, statement 1 is sufficient to answer the question.<\/p>\n\n\n\n

          Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n

          As per the information given in statement 2, the sum of p, r, and s is zero.<\/p>\n\n\n\n

          • p + r + s = 0<\/li><\/ul>\n\n\n\n

            As x = (p + r + s)\/3, we can say<\/p>\n\n\n\n

            • x = 0\/3 = 0<\/li><\/ul>\n\n\n\n

              As we can determine the value of x, statement 2 is sufficient to answer the question.<\/p>\n\n\n\n

              Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n

              Since we can determine the answer from either of the statements individually, this step is not required.<\/p>\n\n\n\n

              Hence, the correct answer choice is option D.<\/p>\n\n\n\n

              <\/p>\n\n\n\n

              Takeaways<\/strong> <\/h2>\n\n\n\n

              In a DS question, always do thorough Question Stem Analysis. Use all pieces of information given to infer all you can.  <\/p>\n\n\n\n

              For example, in this question, writing the value of x in terms of p, r, and s in the question stem analysis was very important. Without this, statement 1 analysis would not be so efficient. <\/p>\n","protected":false},"excerpt":{"rendered":"

              OG 2020: Question No. 304 If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers, what is the value of x? Twice x is equal to the sum of p, r, and s. The sum of p, r, and s is zero. Source […]<\/p>\n","protected":false},"author":79663,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[44,94,60,61,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"\nIf p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers - OG 2020 Question #304 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/quant-og-304-solution-if-p-r-s-are-consecutive\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers - OG 2020 Question #304 with Solution\" \/>\n<meta property=\"og:description\" content=\"OG 2020: Question No. 304 If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers, what is the value of x? 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