కింది నాలుగు త్రయాలలో మూడు ఒక నిర్దిష్ట మార్గంలో ఒకేలా ఉంటాయి, ఎందుకంటే అవి తమలో తాము ఒకే గణిత కార్యకలాపాలను నిర్వహించడం ద్వారా ఏర్పడతాయి మరియు తద్వారా ఒక సమూహాన్ని ఏర్పరుస్తాయి. ఏ త్రయం ఆ సమూహానికి చెందదు?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)
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  1. 36 13 7
  2. 16 9 5
  3. 72 16 8
  4. 1 3 2

Answer (Detailed Solution Below)

Option 3 : 72 16 8
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ఇక్కడ అనుసరించిన తర్కం:

తర్కం: (రెండవ సంఖ్య - మూడవ సంఖ్య)2 = మొదటి సంఖ్య

  1. 36 ∶ 13 ∶ 7 → (13 - 7)2 = 62 = 36
  2. 16 ∶ 9 ∶ 5 → (9 - 5)2 = 42 = 16
  3. 72 ∶ 16 ∶ 8 → (16 - 8)2 = 82 = 64 ≠ 72
  4. 1 ∶ 3 ∶ 2 → (3 - 2)2 = 12 = 1

కాబట్టి, ' 72 ∶ 16 ∶ 8 ' సరైన సమాధానం.

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