Question:
\((91,8281):(\_\_\_,8649)::(95,9025):(97,9409)\)
\((91,8281):(\_\_\_,8649)::(95,9025):(97,9409)\)
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Always check for perfect square patterns in analogy questions when the second number is much larger.
Updated On: Jul 15, 2026
- \(97\)
- \(83\)
- \(87\)
- \(93\)
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The Correct Option is D
Solution and Explanation
Concept:
Observe the relation:
The second number is the square of the first number.
That is:
\[
(a,a^2)
\]
Step 1: Verify with the first pair.
Given: \[ 91 \] Squaring: \[ 91^2=8281 \] Matches.
Step 2: Verify with the third pair.
Given: \[ 95 \] Squaring: \[ 95^2=9025 \] Matches. Also: \[ 97^2=9409 \] Matches.
Step 3: Find the missing number.
Given: \[ (\_\_,8649) \] So: \[ x^2=8649 \] Taking square root: \[ x=\sqrt{8649} \] Checking options: \[ 93^2=8649 \] Hence: \[ x=93 \] Thus, the required answer is: \[ \boxed{93} \]
Step 1: Verify with the first pair.
Given: \[ 91 \] Squaring: \[ 91^2=8281 \] Matches.
Step 2: Verify with the third pair.
Given: \[ 95 \] Squaring: \[ 95^2=9025 \] Matches. Also: \[ 97^2=9409 \] Matches.
Step 3: Find the missing number.
Given: \[ (\_\_,8649) \] So: \[ x^2=8649 \] Taking square root: \[ x=\sqrt{8649} \] Checking options: \[ 93^2=8649 \] Hence: \[ x=93 \] Thus, the required answer is: \[ \boxed{93} \]
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