দুটি সংখ্যার গ.সা.গু এবং ল.সা.গু  হল 24 এবং 168 এবং সংখ্যাগুলি 1 ∶ 7 অনুপাতে রয়েছে। দুটি সংখ্যার মধ্যে বড়টি নির্ণয় করুন।

  1. 168
  2. 144
  3. 108
  4. 72

Answer (Detailed Solution Below)

Option 1 : 168
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Detailed Solution

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প্রদত্ত:

গ.সা.গু = 24

ল.সা.গু = 168

সংখ্যার অনুপাত = 1 ∶ 7

সূত্র:

সংখ্যার গুণফল = ল.সা.গু × গ.সা.গু 

গণনা:

ধরা যাক, সংখ্যাগুলি x এবং 7x

x × 7x = 24 × 168

⇒ x2 = 24 × 24

⇒ x = 24

∴ বড় সংখ্যাটি হল = 7x = 24 × 7 = 168

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