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UKMT Intermediate Mathematical Challenge, 2022

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

In a number pyramid, each cell above the bottom row contains the sum of the numbers in the two cells immediately below it. The three numbers on the second row are all equal, and are all integers. Which of these statements must be true?

(A) The bottom row contains at least one zero (B) The third row contains at least one zero (C) The top number is a multiple of three (D) The top number is a multiple of four (E) None of the above

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