Question:
What is the missing number in the following sequence? 289: 324 :: __ : 64
What is the missing number in the following sequence? 289: 324 :: __ : 64
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Recognition of perfect squares up to 30 is essential for competitive mathematics.
Updated On: Jul 3, 2026
- 36
- 49
- 55
- 76
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The Correct Option is B
Solution and Explanation
Step 1: Concept
This analogy relates perfect squares of consecutive integers.
Step 2: Meaning
$289 = 17^2$ and $324 = 18^2$. The relationship is $n^2 : (n+1)^2$.
Step 3: Analysis
On the right side, the second number is $64$, which is $8^2$. Since the relationship is consecutive squares, the first number should be $(8-1)^2$.
Step 4: Conclusion
$7^2 = 49$. Thus, $49:64$ follows the same consecutive square pattern as $289:324$. Final Answer: (B)
This analogy relates perfect squares of consecutive integers.
Step 2: Meaning
$289 = 17^2$ and $324 = 18^2$. The relationship is $n^2 : (n+1)^2$.
Step 3: Analysis
On the right side, the second number is $64$, which is $8^2$. Since the relationship is consecutive squares, the first number should be $(8-1)^2$.
Step 4: Conclusion
$7^2 = 49$. Thus, $49:64$ follows the same consecutive square pattern as $289:324$. Final Answer: (B)
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