రెండు సంఖ్యలు 6 ∶ 5 నిష్పత్తిలో ఉన్నాయి. వాటి గ.సా.భా 3 అయిన, రెండు సంఖ్యల క.సా.గు ఎంత?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3)
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  1. 64
  2. 110
  3. 90
  4. 80

Answer (Detailed Solution Below)

Option 3 : 90
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Detailed Solution

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ఇచ్చిన దత్తాంశం:

 

రెండు సంఖ్యలు 6 ∶ 5 నిష్పత్తిలో ఉన్నాయి.

 

వాటి గ.సా.భా 3.

 

ఉపయోగించిన భావన:

 

1. P అనేది A మరియు B యొక్క గ.సా.భా అయిన A = P × m & B = P × n. (ఇక్కడ m మరియు n అనేవి ఏకపక్ష ధన పూర్ణాంకాలు మరియు అవి ఒకదానికొకటి సహ-ప్రధానం)

 

2. క.సా.గు అనేది రెండు లేదా అంతకంటే ఎక్కువ సంఖ్యల యొక్క కనిష్ఠ సాధారణ గుణిజం.

 

గణన:

 

మొదటి సంఖ్య = 6 × 3 = 18

 

రెండవ సంఖ్య = 5 × 3 = 15

 

క.సా.గు (18, 15) = 3 × 6 × 5 = 90

 

∴ వాటి క.సా.గు 90.

 
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