নিম্নলিখিত সংখ্যাগুলির মধ্যে কোনটি 412 + 413 + 414 + 415 কে সম্পূর্ণভাবে ভাগ করবে?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 4)
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  1. 17
  2. 11
  3. 3
  4. 7

Answer (Detailed Solution Below)

Option 1 : 17
Free
SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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প্রদত্ত:

412 + 413 + 414 + 415

ব্যবহৃত সূত্র:

উপরোক্ত রাশিমালাটি থেকে সাধারণ পদ 412 বের করে নিন।

গণনা:

412 + 413 + 414 + 415

⇒ 412 (1 + 4 + 42 + 43)

⇒ 412 (1 + 4 + 16 + 64)

⇒ 412 (85)

এখন, আমাদের পরীক্ষা করতে হবে যে প্রদত্ত বিকল্পগুলির মধ্যে কোনটি 85 কে সম্পূর্ণভাবে ভাগ করে।

85 = 5 x 17

অতএব, 85 কে সম্পূর্ণভাবে ভাগ করে এমন সংখ্যাটি হল 17

∴ সঠিক উত্তর হল বিকল্প (1)।

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