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 ?

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Q: 71 (IAS/2009)
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 ?
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question_subject: 

Maths

question_exam: 

IAS

stats: 

0,3,1,0,3,0,1

keywords: 

{'lengths': [0, 0, 1, 0], 'metal rods': [0, 0, 1, 0], 'equal length': [2, 0, 1, 2], 'maximum number': [1, 0, 1, 2], 'pieces': [0, 2, 1, 2], 'parts': [6, 2, 8, 19], 'part': [12, 1, 5, 10], 'cm': [2, 0, 7, 20]}