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Zorluk: Çok zorAnalogy and Classification

Match each logical reasoning problem involving numerical analogy, alphabetical pattern analogy, or classification in List-I with its corresponding correct output or odd element in List-II.

  • Analogy: 6:222::9:?6 : 222 :: 9 : ?738738
  • Analogy: 14:210::18:?14 : 210 :: 18 : ?342342
  • Letter Analogy: BJH : DJF :: FLD : ?HLB
  • Odd-One-Out Classification: (11, 144), (13, 196), (17, 324), (19, 441)(19, 441)

Cevap

Analogy 6 : 222 :: 9 : ? matches 738; Analogy 14 : 210 :: 18 : ? matches 342; Letter Analogy BJH : DJF :: FLD : ? matches HLB; Odd-One-Out Classification matches (19, 441).
Each item in List-I is evaluated using multi-step logical operations: (1) 63+6=2226^3+6=222 leading to 93+9=7389^3+9=738; (2) 142+14=21014^2+14=210 leading to 182+18=34218^2+18=342; (3) Alphabet positional shifts (+2, 0, -2) transforming FLD into HLB; (4) The classification rule M=(n+1)2M=(n+1)^2 which fails only for the pair (19,441)(19, 441).

Adım Adım Çözüm

1
Analyze the pattern for Analogy 6 : 222 :: 9 : ?
Identify the operation n3+nn^3 + n. Since 63+6=2226^3 + 6 = 222, apply 93+9=729+9=7389^3 + 9 = 729 + 9 = 738.
Establishes cubic function relationship between antecedent and consequent terms.
2
Analyze the pattern for Analogy 14 : 210 :: 18 : ?
Identify the operation n2+nn^2 + n. Since 142+14=21014^2 + 14 = 210, apply 182+18=324+18=34218^2 + 18 = 324 + 18 = 342.
Establishes quadratic non-linear relationship between terms.
3
Analyze the letter shift pattern for BJH : DJF :: FLD : ?
First letter shifts +2+2 position forward, second letter shifts 00 positions, third letter shifts −2-2 positions backward. Applying this to FLD yields H (F+2), L (L+0), B (D-2) = HLB.
Determines positional alphabet movement vector (+2, 0, -2).
4
Evaluate the rule across number pairs in the classification set.
Pairs (11,144)(11, 144), (13,196)(13, 196), and (17,324)(17, 324) follow M=(n+1)2M = (n+1)^2. The pair (19,441)(19, 441) breaks this rule because (19+1)2=400(19+1)^2 = 400, not 441441.
Identifies the element that does not satisfy the common governing rule.

Anahtar Kavram

Multi-operational Number Analogy, Positional Alphabet Shift, and Rule-based Number Classification
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Konular

Analogy and Classification

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