Question:
Find the missing number in the following: 16: 64 :: 36: ___
Find the missing number in the following: 16: 64 :: 36: ___
Show Hint
If one pattern fails to match options, try a different mathematical relationship (like multiplication).
Updated On: Jun 26, 2026
- 128
- 144
- 72
- 100
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Ratio and Proportion Analogies.
Step 2: Analysis of First Pair
$16 \times 4 = 64$. Alternatively, $16$ is $4^2$ and $64$ is $4^3$.
Step 3: Apply to Second Pair
Following the $\times 4$ logic: $36 \times 4 = 144$. Following the square/cube logic: $36$ is $6^2$, so the next would be $6^3 = 216$ (Not in options).
Step 4: Conclusion
The multiplicative logic $\times 4$ holds. $36 \times 4 = 144$. Final Answer: (2)
Ratio and Proportion Analogies.
Step 2: Analysis of First Pair
$16 \times 4 = 64$. Alternatively, $16$ is $4^2$ and $64$ is $4^3$.
Step 3: Apply to Second Pair
Following the $\times 4$ logic: $36 \times 4 = 144$. Following the square/cube logic: $36$ is $6^2$, so the next would be $6^3 = 216$ (Not in options).
Step 4: Conclusion
The multiplicative logic $\times 4$ holds. $36 \times 4 = 144$. Final Answer: (2)
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