A rod is cut into 3 equal parts. The resulting portions are then cut into 12, 18 and 32 equal parts, respectively. If each of the resulting portions have integer length, the minimum length of the rod is
Explanation:
As the three portions of the rod correspond to 12, 18 and 32 equal parts, their length will be equal to LCM of 12, 18 and 32. LCM of 12, 18 and 32 = 288 Since there are three equal parts of the rod, total length = 288 × 3 = 864 Hence, option (b).
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