# CAT Quantitative Aptitude Questions | CAT Number Systems - HCF and LCM questions

###### CAT Questions | Number Theory | Number of carpenters
CAT Questions

The question is about Number of carpenters. It is a simple question. It is an application based question. It tests the understanding of LCM and HCF. A range of CAT questions can be asked based on this simple concept. HCF and LCM from CAT Number Systems is oft tested not just in the context of CAT Number Systems but also inside CAT Quantitative Aptitude questions from other topics.

Question 12: 4 logs of woods of lengths 5 $$frac{1}{4}\\$ m , 1 $\frac{13}{15}\\$ m , 3 $\frac{1}{2}\\$ m and 4 $\frac{9}{10}\\ m are cut into small pieces, all of which have equal length. Each piece of wood is as lengthy as possible. Each cut piece is given to a set of 2 carpenters to work on something. How many carpenters are there in all to work? 1. 148 2. 210 3. 332 4. 266 ## 2IIM : Best Online CAT Coaching #### Sign up and sample 5 classesfor free ## Best CAT Coaching in Chennai #### Crash course - Early Bird discount Starts Sat, June 29th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Number Theory - HCF and LCM: HCF of fractions HCF$5 $\frac{1}{4}\\$ , 1 $\frac{13}{15}\\$ , 3 $\frac{1}{2}\\$ , 4 $\frac{9}{10}\\$ ) = HCF$$$frac{21}{4}\\$ , $\frac{28}{15}\\$ , $\frac{7}{2}\\$ ,$\frac{49}{10}\\$) = $\frac{HCF$21, 28, 7, 49$}{LCM(4, 15, 2, 10)}$ = $\frac{7}{60}\\$ Hence, total number of pieces = $\frac{21}{4}\\$ * $\frac{60}{7}\\$ + $\frac{28}{15}\\$ * $\frac{60}{7}\\$ + $\frac{7}{2}\\$ * $\frac{60}{7}\\$ + $\frac{49}{10}\\$ * $\frac{60}{7}\\$ = 45 + 16 + 30 + 42 = 133 The question is "How many carpenters are there in all to work?" ##### Hence the answer is "266" Choice D is the correct answer. ###### Best Online CAT CoachingTake Scholarship TestSign up and sample 5 classesfor free Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiEnroll at 29000/- Next Weekend Batch Starts Sat, June 29th, 2019 ###### Best CAT Coaching in ChennaiEarly Bird discount of 7000 Personalised attention, Small batch sizes. ## CAT Online Coaching | CAT Number Systems questions Videos On YouTube #### Other useful sources for Number System Questions | Number Theory HCF and LCM Sample Questions ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 10-C, Kalinga Colony, Bobbili Raja Salai K.K.Nagar, Chennai. India. Pin - 600 078 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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