Question:
If 5 @ 6 = 61 and 8 @ 10 = 164, then 7 @ 9 =
If 5 @ 6 = 61 and 8 @ 10 = 164, then 7 @ 9 =
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When results are significantly larger than the inputs, check for squares or cubes of the numbers.
Updated On: Jul 3, 2026
- 124
- 120
- 32
- 130
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The Correct Option is D
Solution and Explanation
Step 1: Concept
The operator @ represents a mathematical rule involving the squares of the two given numbers.
Step 2: Meaning
Check the pattern: $5^{2} + 6^{2} = 25 + 36 = 61$. $8^{2} + 10^{2} = 64 + 100 = 164$.
Step 3: Analysis
The rule is $a \text{ @ } b = a^{2} + b^{2}$. Applying this to 7 and 9: $7^{2} + 9^{2}$.
Step 4: Conclusion
$49 + 81 = 130$. Final Answer: (D)
The operator @ represents a mathematical rule involving the squares of the two given numbers.
Step 2: Meaning
Check the pattern: $5^{2} + 6^{2} = 25 + 36 = 61$. $8^{2} + 10^{2} = 64 + 100 = 164$.
Step 3: Analysis
The rule is $a \text{ @ } b = a^{2} + b^{2}$. Applying this to 7 and 9: $7^{2} + 9^{2}$.
Step 4: Conclusion
$49 + 81 = 130$. Final Answer: (D)
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