If 7\ \\ 3 = 58 and 6\ \\ 2 = 40 , what is 5\ \\ 1 ?

Question

If 7\ \\ 3 = 58 and 6\ \\ 2 = 40 , what is 5\ \\ 1 ?

1. A. 26 (Correct answer)
2. B. 24
3. C. 28
4. D. 22

Correct Answer

Option A — 26

Detailed Solution & Explanation

The correct answer is 26.

Key Points

• Find the rule behind the invented operator. 7 $ 3 = 58: note 7² + 3² = 49 + 9 = 58 ✓
• Confirm on the second pair: 6 $ 2 → 6² + 2² = 36 + 4 = 40 ✓
• So $ means *sum of squares*, and 5 $ 1 = 25 + 1 = 26.

Additional Information

• Always verify a candidate rule on every given equation. A rule fitting one pair is a guess; fitting both is a derivation.
• The common invented-operator rules worth testing in order: a² + b², a² − b², (a + b)², ab + a + b, and a² + b.
• Squares worth having ready for this question type: 5² = 25, 6² = 36, 7² = 49, 8² = 64, 9² = 81.

प्रश्न (हिन्दी में)

यदि 7\ \\ 3 = 58 और 6\ \\ 2 = 40 है, तो 5\ \\ 1 क्या है?

1. A. 26
2. B. 24
3. C. 28
4. D. 22