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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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General Intelligence and ReasoningNumber Analogy
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Complete the analogy:

12: 144:: 15:?
A

225

B

255

C

180

D

150

Correct Answer

🧩 RE • Reasoning Pattern DetectionGeneral Intelligence and ReasoningNumber Analogy
Option A

225

Quick Summary:

The relationship is a simple square of the first number; square the given number on the right side of the colon to find the answer.

🧩REReasoning SolutionPattern Detection⏱️ 5 Seconds
⚡ Quick Shortcut Trick

The relationship is a simple square of the first number; square the given number on the right side of the colon to find the answer.

📊 Diagram / Illustration
NUMBER ANALOGY: 12 : 144 :: 15 : ? 1 ANALYZE GIVEN PAIR 12² = 12 × 12 = 144 2 APPLY PATTERN Apply square rule to 15: 15² = 15 × 15 3 CALCULATE RESULT 15 × 15 = 225 FINAL ANSWER: 225 (Option A)
🧩 Logic Steps
1

Analyze the relationship

Observe the first pair: 12: 144. Mathematically, 144 is the square of 12 (12 * 12 = 144).

2

Apply the rule

Apply the same logic to the second pair: 15:?. Square the number 15 (15 * 15 = 225).

🚫 Why Other Options Are Wrong

B: 255 is incorrect because it is not a perfect square and does not follow the n:n² pattern. C: 180 is incorrect as it results from 15 * 12, not 15 * 15. D: 150 is incorrect because it is 15 * 10, lacking logical consistency with the first pair.

✅

A is correct because the pattern follows the rule n: n squared, where 15 squared equals 225.

Core Concepts Used
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Number Analogy Perfect Squares Pattern Recognition
💡 EXAM TIP

For number analogies, always check for squares, cubes, and prime numbers first, as these are the most common relationships found in competitive exams.

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