Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each… · ABC26GN0526
Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: Civil Services 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?
(a)27
(b)36
(c)43
(d)480
Answer
Answer (as printed): B
Explanation
Maximum length of each part = H.C.F. of 78 cm, 104 cm, 117 cm, 169 cm = 13 cm. ∴ Number of pieces = $$\left(\frac{78+104+117+169}{13}\right)=\frac{468}{13}=36 .$$
Explanation as extracted from the printed page; notation may be imperfect.