প্রদত্ত সমীকরণটি সঠিক করার জন্য প্রদত্ত বিকল্পগুলির মধ্যে কোন দুটি সংখ্যা বিনিময় করা উচিত?

248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
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  1. 8 এবং 4
  2. 184 এবং 77
  3. 184 এবং 248
  4. এবং 6

Answer (Detailed Solution Below)

Option 3 : 184 এবং 248
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প্রদত্ত সমীকরণে বিকল্পগুলি প্রয়োগ করে এবং BODMAS নিয়ম ব্যবহার করে সমাধান করে পাই:

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প্রদত্ত সমীকরণ248 ÷ 4 + 184 ÷ (4 × 6 – 2 × 8) = 77

বিকল্প 1) 8 এবং 4

বিনিময় করে পাই:

⇒ 248 ÷ 8 + 184 ÷ (4 × 62 × 4) = 77

⇒ 248 ÷ 8 + 184 ÷ (24 – 8) = 77

⇒ 248 ÷ 8 + 184 ÷ 16 = 77

⇒ 31 + 11.5 = 77

⇒ 42.5 ≠ 77

প্রদত্ত সমীকরণ: 248 ÷ 4 + 184 ÷ (4 × 6 – 2 × 8) = 77

বিকল্প 2) 184 এবং 77

বিনিময় করে পাই:

⇒ 248 ÷ 4 + 77 ÷ (4 × 62 × 8) = 184

⇒ 248 ÷ 4 + 77 ÷ (24 – 16) = 184

⇒ 248 ÷ 4 + 77 ÷ 8 = 184

⇒ 62 + 9.6 = 184

⇒ 71.6 ≠ 184

প্রদত্ত সমীকরণ: 248 ÷ 4 + 184 ÷ (4 × 6 – 2 × 8) = 77

বিকল্প 3) 184 এবং 248

বিনিময় করে পাই:

⇒ 184 ÷ 4 + 248 ÷ (4 × 6 – 2 × 8) = 77

⇒ 184 ÷ 4 + 248 ÷ (24 – 16) = 77

⇒ 184 ÷ 4 + 248 ÷ 8 = 77

⇒ 46 + 31 = 77

⇒ 77 = 77

প্রদত্ত সমীকরণ: 248 ÷ 4 + 184 ÷ (4 × 6 – 2 × 8) = 77

বিকল্প 4) 4 এবং 6

বিনিময় করে পাই:

⇒ 248 ÷ 6 + 184 ÷ (4 × 4 – 2 × 8) = 77

⇒ 248 ÷ 6 + 184 ÷ (16 – 16) = 77

⇒ 248 ÷ 6 + 184 ÷ 0 = 77

⇒ 41.3 + 0 = 77 

⇒ 41.3  77

সুতরাং, সঠিক উত্তর হল "বিকল্প 3"

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