Question:medium

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

Step 1: Compare each given result to a plain multiplication by 7: \(1\times7=7\) but the question says 8, one more; \(2\times7=14\) but the question says 16, two more; \(3\times7=21\) but the question says 24, three more; \(4\times7=28\) but the question says 32, four more.

Step 2: The extra added each time equals the multiplier itself, so the rule is \( n \times 7 + n = n \times 8 \).

Step 3: Apply this rule for \(n=9\): \(9\times8=72\).
\[ \boxed{72} \]
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Approach Solution -2

Looking only at the results themselves, 8, 16, 24, 32, they form a simple sequence increasing by 8 at every step, independent of how they're labelled. Continuing that sequence from the 4th result, 32, five more steps of 8 are needed to reach the 9th result: \( 32+8+8+8+8+8=32+40=72 \).

  1. Option A (63): the gap from 32 to 63 is 31, which is not a whole multiple of the step size 8, so it breaks the running sequence.
  2. Option B (72): the gap from 32 to 72 is exactly 40, which is \( 5\times8 \), five full steps of the established increment, landing precisely on the 9th term.
  3. Option C (81): the gap from 32 to 81 is 49, not a multiple of 8, so it does not continue the sequence correctly.
  4. Option D (90): the gap from 32 to 90 is 58, also not a multiple of 8, overshooting the required step count.

Only 72 is reached by taking exactly five more steps of 8 from the 4th term, landing on the 9th term of the sequence.

Therefore, the correct answer is 72.

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