Question:
If \(1 × 7 = 8, 2 × 7 = 16, 3 × 7 = 24, 4 × 7 = 32\), then what is value of \(9 × 7\)?
If \(1 × 7 = 8, 2 × 7 = 16, 3 × 7 = 24, 4 × 7 = 32\), then what is value of \(9 × 7\)?
Updated On: Jul 15, 2026
- 63
- 72
- 81
- 90
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The Correct Option is B
Approach Solution - 1
The correct option is (B): 72.
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Approach Solution -2
The stated products don't match ordinary multiplication by 7, since \(1\times7\) should be 7, not 8; instead, each result equals the multiplier plus its ordinary product with 7, that is \( n \times 7 + n = n \times 8 \). Checking: for n=1, \(1\times8=8\); for n=2, \(2\times8=16\); for n=3, \(3\times8=24\); for n=4, \(4\times8=32\), all match the given results exactly. So the rule is that the answer equals the multiplier times 8, and we need the value for n=9.
- Option A (63): this is simply \(9\times7\) using ordinary multiplication, which is the exact pattern the question tells us not to use.
- Option B (72): this equals \(9\times8\), consistent with the rule extracted from every one of the four given examples.
- Option C (81): this equals \(9\times9\), which doesn't match the established multiplier-times-8 rule.
- Option D (90): this equals \(9\times10\), which overshoots the established rule considerably.
Therefore, the correct answer is 72.
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Approach Solution -3
Instead of adjusting for an added amount, check what happens when each given result is divided back by its multiplier: \( 8\div1=8 \), \( 16\div2=8 \), \( 24\div3=8 \), \( 32\div4=8 \). Every result divided by its multiplier gives exactly 8, a constant ratio, so despite the "×7" label, the operation actually being applied is multiplication by 8. Applying this constant ratio to the multiplier 9 gives \( 9\times8=72 \).
- Option A (63): dividing this by 9 gives \( 63\div9=7 \), not the constant ratio of 8 found in every one of the four given examples, so it does not fit.
- Option B (72): dividing this by 9 gives \( 72\div9=8 \), exactly matching the constant ratio of 8 confirmed across all four given results.
- Option C (81): dividing this by 9 gives \( 81\div9=9 \), not 8, so it does not match the established ratio.
- Option D (90): dividing this by 9 gives \( 90\div9=10 \), further still from the required ratio of 8.
Only 72 keeps the constant result-to-multiplier ratio of 8 established by every given example.
Therefore, the correct answer is 72.
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