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 ?

A. 27

B. 36

C. 43

D. 480

Answer: Option B

Solution(By Examveda Team)

Maximum length of each part = HCF of 78 cm, 104 cm, 117 cm, 169 cm = 13 cm
∴ Number of pieces
$$\eqalign{ & {\text{ = }}\left( {\frac{{78 + 104 + 117 + 169}}{{13}}} \right) \cr & = \frac{{468}}{{13}} \cr & = 36 \cr} $$