5, 6, 8 மற்றும் 10 ஆல் வகுத்தால், ஒவ்வொரு வழக்கிலும் 2 மீதம் இருக்கும் குறைந்தபட்ச எண் எது?

This question was previously asked in
RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 2)
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  1. 128
  2. 122
  3. 162
  4. 118

Answer (Detailed Solution Below)

Option 2 : 122
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கொடுக்கப்பட்டது:

5, 6, 8, மற்றும் 10 ஆல் வகுத்தால் குறைந்த எண்ணிக்கையானது நினைவூட்டல் 2 ஐ விட்டுவிடும்.

பயன்படுத்தப்பட்ட கருத்து:

குறைந்த எண்ணிக்கையில் LCM ஐ எடுத்துக் கொள்ளுங்கள், எல்லா நிபந்தனைகளும் திருப்திகரமாக உள்ளதா இல்லையா என்பதையும் சரிபார்க்க வேண்டும்.

ஒவ்வொரு சந்தர்ப்பத்திலும் அதே மீதிக்கு LCM உடன் மீதமுள்ளதைச் சேர்க்கவும்.

கணக்கீடு:

5, 6, 8, 10 இன் LCM

5 = 5 × 1

6 = 2 × 3 × 1

8 = 2 × 2 × 2

10 = 2 × 5

LCM = 2 × 2 × 2 × 3 × 5 = 120

அதே மீதிக்கு, LCM = (120 + 2) = 122 க்கு 2 ஐ சேர்க்க வேண்டும்

∴ விடை 122.

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