Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: 28 boys and 7 men can do a piece of work in 4 days and 21 boys and 3 men can do the same work in 7 days. Find the number of days in which 12 boys can complete the work? Quantity B: 21.5 days
Created: 01 Mar 2026 |
Updated: 01 Mar 2026
Updated: 01 Mar 2026
Explanation:
Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: 28 boys and 7 men can do a piece of work in 4 days and 21 boys and 3 men can do the same work in 7 days. Find the number of days in which 12 boys can complete the work? Quantity B: 21.5 days Correct Answer Quantity A GIVEN: (28 boys + 7 men)'s time = 4 days (21 boys + 3 men)'s time = 7 days FORMULA USED: Work = efficiency × time CALCULATION: let boy's efficiency be b and man's efficiency be m. Then, work = (28b + 7m) × 4 Also, work = (21b + 3m) × 7 Equating both the equations, (28b + 7m) × 4 = (21b + 3m) × 7 ⇒ 112b + 28m = 147b + 21m ⇒ 7m = 35b ⇒ m/b = 5/1 ∴ Work = (28 × 1 + 7 × 5) × 4 = 252 12 boys' efficiency = 12 12 boys' time = 252/12 = 21 days ∴ Quantity A
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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