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**If some strips of sticks of lengths 7cm, 9cm, and 27cm were cut independently from a single stem of a tree without a remainder, find the shortest possible length of that stem.**

**A. 197cm****B. 54cm****C. 81cm****D. 189cm**

**QUICK ANSWER…**

**D**

**SOLUTION…**

**To understand this question properly, we would state it clearly that the stem has a constant length of which:**

**7cm sticks could be cut out of it perfectly without a remainder,****9cm sticks could also be cut out of same stem perfectly without a remainder, and****27cm sticks could also be cut out of same stem without a remainder**

**Hence, we are asked to find the least possible length of the stem that will allow any of the length of sticks to be cut out without a remainder.**

**Let the length of the stem = L**

**This means the least possible length of the stem is the LCM which is 189cm.**

**Now for the right answer to the above question:**

**Option A is incorrect.**197 does not have any of these numbers as a factor.**Option B is incorrect.**27 and 9 are factors of 54, but not 7.**C is incorrect.**27 and 9 are factors of 81, but not 7**D is the correct answer. 7, 9, and 27 are all factors of 189.**

**KEY-POINTS…**

**You may please note the****se/this****:**

**Try as much as you can to understand questions before attempting to answer.****You may quickly get the answer even without solving by testing all the options to find the least option that has all the lengths as a factor.**

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**/ culled from 2015 JAMB-UTME mathematics past question 50 /**