142!-তে কতগুলি শূন্য রয়েছে?

This question was previously asked in
RPF SI Previous Paper 2 (Held On: 5 Jan 2019 Shift 2)
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  1. 36
  2. 30
  3. 34
  4. 32

Answer (Detailed Solution Below)

Option 3 : 34
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Detailed Solution

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প্রদত্ত:

142!-তে শেষে শূন্যের সংখ্যা

অনুসৃত ধারণা:

n!-এ শেষে শূন্যের সংখ্যা = n!-কে 10 দিয়ে যতোবার বিভাজ্য = 10-এর সর্বাধিক ঘাত যা দ্বারা n! বিভাজ্য = n!-এ 5-এর সর্বোচ্চ ঘাত

গণনা:

প্রশ্নানুসারে,

142/5 = 28

28/5 = 5

5/5 = 1

∴ মোট শূন্যের সংখ্যা = 28 + 5 + 1 = 34
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