Problem 4 · 2021 Math Kangaroo
Easy
Logic & Word Problems
casework
Sofie wants to write the word KENGU by using letters from the boxes. She can only take one letter from each box. What letter must Sofie take from box 4?
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Answer: D — G
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Hint 1 of 2
Find the boxes that can only supply one needed letter and lock those in first.
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Hint 2 of 2
Box 3 forces the N, and the only K is in box 2 — then see what is left for box 4.
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Approach: fix the forced letters, then deduce box 4
- Box 3 contains only N, so KENGU's N must come from box 3.
- K appears only in box 2, so K comes from box 2.
- That leaves E, G, U for boxes 1, 4, 5; box 1 gives E and box 5 gives U, so box 4 must give G.
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