Question : Three metal rods of length 77 cm, 110 cm and 121 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?
Option 1: 18
Option 2: 28
Option 3: 11
Option 4: 21
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Correct Answer: 28
Solution : 77 = 7 × 11 110 = 2 × 5 × 11 121 = 11 × 11 HCF of 77, 110 and 121 = 11 So, the maximum number of pieces = $\frac{77}{11}+\frac{110}{11}+\frac{121}{11}$ = 7 + 10 + 11 = 28 Hence, the correct answer is 28.
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