Number Analogy — Choose the pair that follows the same rule: 14 : 70 :: ____

Difficulty: Easy

Correct Answer: 75 : 375

Explanation:

Introduction / Context:This is a numeric pair analogy. The first pair shows a multiplicative relation. We must find a second pair that mirrors exactly the same operation.

Given Data / Assumptions:

  • 14 : 70 means 70 = 14 * 5.
  • We seek a pair X : Y where Y = X * 5.

Concept / Approach:Test each option with the “multiply by 5” rule and retain only the one that satisfies it precisely.

Step-by-Step Solution:

Check 75 : 375 → 75 * 5 = 375 ✔Check 15 : 90 → 15 * 6 = 90 ✘ (factor 6)Check 80 : 480 → 80 * 6 = 480 ✘ (factor 6)Check 19 : 57 → 19 * 3 = 57 ✘ (factor 3)

Verification / Alternative check:Only option “75 : 375” preserves the exact multiplier 5.

Why Other Options Are Wrong:They use different multipliers (3 or 6), breaking the analogy’s rule.

Common Pitfalls:Picking any multiplicative pair without ensuring the same factor as the model pair.

Final Answer:75 : 375

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