Made Easy Test Series:General Aptitude

Question

A rod is cut into $3$ equal parts. The resulting portion are then cut into $18,27,48$ equal parts, respectively. If each of the resulting portions have integral length, then minimum length of the rod is ____________

Comments

yes, then why donot only summing up??

---

lets sum up 54+81+144 = 279

now lets divide them into 3 equal parts--> each has size 93. Now try to divide each part into 18,27 and 48 equal parts..now u see that it is not possible as integral parts are asked for..

If we think this from reverse engineering viewpoint we see that addition is not possible.

PS--> It was quite obvious that addition would never have been possible as we are dividing them rather than subtracting them..

---

yes, actually this line seems ambiguous to me

cut into 18,27,48 equal parts

Now understood 

Answer 1

The length of the rod will be 3*LCM(18,27,48) = 3*432 = 1296.