649! के अंत में क्रमागत शून्यों की संख्या ज्ञात करें।

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UP Police SI (दरोगा) Official PYP (Held On: 24 Nov 2021 Shift 1)
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  1. 130
  2. 150
  3. 140
  4. 160

Answer (Detailed Solution Below)

Option 4 : 160
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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दिया गया है:

हमें 649! में शून्यों की संख्या ज्ञात करनी है।

प्रयुक्त सूत्र:

शून्यों की संख्या = ⌊649/5⌋ + ⌊649/25⌋ + ⌊649/125⌋ + ⌊649/625⌋

गणना:

⇒ 649 ÷ 5 = 129

⇒ 649 ÷ 25 = 25

⇒ 649 ÷ 125 = 5

⇒ 649 ÷ 625 = 1

⇒ कुल = 129 + 25 + 5 + 1 = 160

∴ शून्यों की संख्या = 160

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