400 आणि 600 मधील संख्यांची बेरीज अशा प्रकारे शोधा की त्यांना 6, 12 आणि 16 ने भागले की, शिल्लक राहणार नाही.

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  1. 2620
  2. 2016
  3. 2026
  4. 2610

Answer (Detailed Solution Below)

Option 2 : 2016
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दिलेले आहे:

आपल्याला 400 - 600 च्या श्रेणीतील संख्यांची बेरीज शोधणे आवश्यक आहे की त्यांना प्रत्येकी 6, 12 आणि 16 ने भाग जाईल.

संकल्पना:

LCM (लघुत्तम सामान्य विभाजक)

गणना:

(6, 12, 16) चा लसावि = 48

आवश्यक संख्या 48k च्या स्वरूपात असेल, जेथे k ही नैसर्गिक संख्या आहे.

k साठी = 9, 48k = 48 x 9 = 432 

साठी = 10, 48k = 48 x 10 = 480 

k साठी = 11, 48k = 48 x 11 = 528 

k साठी = 12. 48k = 48 x 12 = 576 

∴ या 4 संख्यांची बेरीज म्हणजे 432, 480, 528, आणि 576 2016 आहे.

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