మొదటి పదం రెండవ పదానికి సంబంధించినది మరియు ఐదవ పదం ఆరవ పదానికి సంబంధించిన విధంగానే నాల్గవ పదానికి సంబంధించిన ఎంపికను ఎంచుకోండి.

8 : 48 :: ? : 143 :: 15 : 195

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 13
  2. 17
  3. 19
  4. 11

Answer (Detailed Solution Below)

Option 1 : 13
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ఇక్కడ అనుసరించిన తర్కం: 1వ సంఖ్య × (1సంఖ్య - 2) = 2వ సంఖ్య
 
కాబట్టి,
  • 8 : 48

​8 × (8 - 2) = 48

8 × 6 = 48

48 = 48 (LHS = RHS)

మరియు,

  • 15 : 195​

​15 × (15 - 2) = 195

15 × 13 = 195

195 = 195 (LHS = RHS)

అలాగే,

  • ? : 143​
ఇక్కడ '?' 'x'గా ఉండనివ్వండి
 

x × (x - 2) = 143

x2 - 2x = 143

x2 - 2x - 143 = 0 

(x - 13) (x + 11) = 0

x = 13 లేదా (-11)
 
ఎందుకంటే, సమాధానం ప్రతికూలంగా ఉండకూడదు, కాబట్టి x విలువ 13 అవుతుంది.
 
కాబట్టి, "13" సరైన సమాధానం.
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