3240 కారకాల మొత్తాన్ని కనుగొనండి

  1. 10890
  2. 11000
  3. 10800
  4. 10190

Answer (Detailed Solution Below)

Option 1 : 10890
Free
English Language (Matric Level) Sectional Test - 01
25 Qs. 50 Marks 12 Mins

Detailed Solution

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ఇచ్చినది:

3240

భావన:

k = a x × b y అయితే , అప్పుడు

అన్ని కారకాల మొత్తం = (a 0 + a 1 + a 2 + ..... + a x ) (b 0 + b 1 + b 2 + ….. + b y )

పరిష్కారం:

3240 = 2 3 × 3 4 × 5 1

కారకాల మొత్తం = (2 0 + 2 1 + 2 2 + 2 3 ) (3 0 + 3 1 + 3 2 + 3 3 + 3 4 ) (5 0 + 5 1 )

⇒ (1 + 2 + 4 + 8) (1 + 3 + 9 + 27 + 81) (1 + 5)

⇒ 15 × 121 × 6

⇒ 10890

∴ అవసరమైన మొత్తం 10890

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