x అనేది 12.8 మరియు 64.8 మధ్య సగటు అనుపాతం అయితే మరియు y అనేది 38.4 మరియు 57.6కి మూడవ అనుపాతం అయితే, 2x : y దీనికి సమానం:

This question was previously asked in
SSC CGL Previous Paper 66 (Held On: 3 March 2020 Shift 2)
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  1. 3 : 4
  2. 1 : 2
  3. 2 : 3
  4. 4 : 5

Answer (Detailed Solution Below)

Option 3 : 2 : 3
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x 12.8 మరియు 64.8 మధ్య సగటు అనుపాతం అయితే, అప్పుడు

12.8 : x : : x : 64.8

⇒ 12.8/x = x/64.8

⇒ x 2 = 12.8 × 64.8

⇒ x = √[16 × 0.8 × 0.8 × 81]

⇒ x = 4 × 0.8 × 9

y అనేది 38.4 మరియు 57.6కి మూడవ అనుపాతం అయితే, అప్పుడు

38.4 : 57.6 : : 57.6 : వై

⇒ 38.4/57.6 = 57.6/y

⇒ y = (57.6 × 57.6)/38.4

⇒ y = 86.4

ఇప్పుడు,

2x : y = 2 × 4 × 0.8 × 9 : 86.4 = 2 : 3

చిన్న ట్రిక్:

మీన్ ప్రొపోర్షనల్ x = √12.8 × 64.8 = 28.8

మూడవ అనుపాత y = (57.6 × 57.6)/38.4 = 86.4

ఇప్పుడు,

2x : y = 2 × 28.8 : 86.4 = 2 : 3
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