మూడు సంఖ్యలు 2 ∶ 3 ∶ 5 నిష్పత్తిలో ఉన్నాయి మరియు వాటి క.సా.గు 90. వాటి గ.సా.భని కనుగొనండి.

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 4)
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  1. 9
  2. 1
  3. 6
  4. 3

Answer (Detailed Solution Below)

Option 4 : 3
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Detailed Solution

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ఇచ్చిన దత్తాంశం:

సంఖ్యలు 2 : 3 : 5 నిష్పత్తిలో ఉన్నాయి

సంఖ్యల క.సా.గు = 90

సాధన:

సంఖ్య 2x, 3x మరియు 5x అనుకుందాం.

క.సా.గు (2x, 3x మరియు 5x) = 2 × 3 × 5 × (x)

⇒ 30x

ప్రశ్న ప్రకారం, 30x = 90

⇒ x = 90/30

⇒ x = 3

కాబట్టి, సంఖ్యలు 6, 9, 15

ఇప్పుడు,

6 = 2 × 3

9 = 32

15 = 3 × 5

కాబట్టి, గ.సా.భ = 3

∴మూడు సంఖ్యల యొక్క గ.సా.భ 3.

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