Multiple choice general knowledge math & puzzles

Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut ?

  1. 27

  2. 36

  3. 43

  4. 480
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To cut rods into equal parts of maximum length, we need the HCF of all lengths. Prime factorization: 78=2×3×13, 104=2³×13, 117=3²×13, 169=13². HCF=13 cm. Number of pieces = 78/13 + 104/13 + 117/13 + 169/13 = 6+8+9+13 = 36. Option D (480) is incorrect because it's just the total length, not the number of pieces.

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