Discussion
If 1001 × 121 = 11 × 12111 − 275 × ___________, then what is the number at the blank space ?
Answer: C
The number at the blank is 44.
Work out both products and find the difference.
\[ \begin{aligned} 1001 \times 121 &= 121121 \\ 11 \times 12111 &= 133221 \\ 275 \times n &= 133221 - 121121 = 12100 \\ n &= 12100 \div 275 = 44 \end{aligned} \]
Check: \(275 \times 44 = 12100\), and \(133221 - 12100 = 121121\). Option 22 is half of the answer and 88 double it, which is what a slip in the division by 275 would give.
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