CAT Practice : Number System - HCF, LCM

You are here: Home  CAT Questionbank   CAT Quant  Number System: HCF, LCM  Question 12
HCF of fractions

Sum of the digits

    Q.12: 4 logs of woods of lengths 5 1/4 m, 1 13/15 m, 3 1/2 m and 4 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

 

  • Correct Answer
    Choice D. 266

Detailed Solution

HCF (5 , 1 , 3 , 4 )

= HCF ( , , , )

=

=

Hence, total number of pieces
= * + * + * + *

= 45 + 16 + 30 + 42
= 133

Total number of carpenters required = 133 * 2 = 266

Choice D


Correct Answer: 266

Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.


Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play

More questions from Number Theory - HCF, LCM

  1. HCF LCM
  2. Remainders LCM
  3. HCF LCM - Theory
  4. HCF basics
  5. HCF LCM
  6. HCF basics
  7. HCF basics
Number Theory is one of the most heavily tested topics. Within this, one should get the basics on factors, multiples, HCF, LCM very clear before moving on to the tougher sets.