The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What is the average height of a group of five persons P, Q, R, S and T? I. Average height of P, Q and R is 155 cm and average height of R, S and T is 167 cm. II. Height of R is 2 more than the overall average. III. Height of P and S together is 500 cm
Created: 01 Mar 2026 |
Updated: 5 days ago
Updated: 5 days ago
Explanation:
The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What is the average height of a group of five persons P, Q, R, S and T? I. Average height of P, Q and R is 155 cm and average height of R, S and T is 167 cm. II. Height of R is 2 more than the overall average. III. Height of P and S together is 500 cm Correct Answer Both I and II From statement I: (P + Q + R)/3 = 155 P + Q + R = 155 × 3 = 465 ----(1) (R + S + T)/3 = 167 R + S + T = 167 × 3 = 501 S + T = 501 - R Let average of all the persons = A A = (P + Q + R + S + T)/5 ----(2) From equations (1) and (2) A = (465 + 501 – R)/5 5A = 966 – R ----(3) From statement II: R = 2 + A Replacing R in equation (3), we get 5A = 966 - 2 - A From here A can be calculated ∴ Statements I and II are required.
বাংলা সাহিত্য ও ব্যাকরণ হলো বাংলা ভাষার দুটি অবিচ্ছেদ্য অঙ্গ। বাংলা সাহিত্য হলো বাংলা ভাষায় রচিত কবিতা, উপন্যাস, নাটক, গল্পসহ সৃজনশীল ও মননশীল রচনার সমষ্টি, যার সূচনা দশম শতাব্দীতে 'চর্যাপদ' এর মাধ্যমে। অন্যদিকে, বাংলা ব্যাকরণ হলো এমন একটি শাস্ত্র বা বিজ্ঞান, যা বাংলা ভাষার গঠন, প্রকৃতি, ধ্বনি, শব্দ ও বাক্যের নিয়ম-কানুন বিশ্লেষণ করে ভাষার শুদ্ধ রূপ ও প্রয়োগ শেখায়।
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