In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: Two powders P and Q are to be mixed in ratio 4 ∶ 7 to form a mixture. If 28 kg of powder P and 28 kg of powder Q is available, how much powder Q is more required to make the desired mixture? Quantity B: A mixture is formed by mixing 16 kg of powder X and 25 kg of powder Y. How much powder X is required to be mixed with 40 kg of powder Y to make a mixture of the same ratio?
Created: 28 Feb 2026 |
Updated: 28 Feb 2026
Updated: 28 Feb 2026
Explanation:
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: Two powders P and Q are to be mixed in ratio 4 ∶ 7 to form a mixture. If 28 kg of powder P and 28 kg of powder Q is available, how much powder Q is more required to make the desired mixture? Quantity B: A mixture is formed by mixing 16 kg of powder X and 25 kg of powder Y. How much powder X is required to be mixed with 40 kg of powder Y to make a mixture of the same ratio? Correct Answer Quantity A Solving for Quantity A: Let ‘x’ kg of powder Q is required Ratio of mixture = 4 ∶ 7 ⇒ 4/7 = 28/(28 + x) ⇒ 28 + x = 7/4 × 28 ⇒ x = 49 – 28 = 21 kg ⇒ Quantity A = 21 kg Solving for Quantity B: Let ‘x’ kg of powder X be required ⇒ x/40 = 16/25 ⇒ x = 40 × 16/25 ⇒ x = 640/25 = 25.6 kg ⇒ Quantity B = 25.6 kg ∴ Quantity A < Quantity B
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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