Railways Quantitative Aptitude LCM & HCF Sample Paper

done HCF and LCM Sample Test Paper-2 Total Questions - 20    [Download]

• question_answer1)
  The LCM and HCF of two numbers are 84 and 21, respectively. If the ratio of two numbers be 1: 4, then the larger of the two numbers is:
  A)
   21       
  done clear
  B)
          48      
  done clear
  C)
   84       
  done clear
  D)
   108
  done clear
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• question_answer2)
  The LCM of two numbers is 4800 and their HCF is 160. If one of the numbers is 480, then the other number is :
  A)
   16                   
  done clear
  B)
   16000    
  done clear
  C)
   160                 
  done clear
  D)
   1600
  done clear
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• question_answer3)
  Three numbers are in the ratio 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F is
  A)
   40                   
  done clear
  B)
   80      
  done clear
  C)
   120                 
  done clear
  D)
   200
  done clear
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• question_answer4)
  The HCF and LCM of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is
  A)
   77                   
  done clear
  B)
   88     
  done clear
  C)
   99       
  done clear
  D)
   110
  done clear
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• question_answer5)
  Let 'K' be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder 25 in each case. Then sum of the digits of 'K' is
  A)
   7                    
  done clear
  B)
   5       
  done clear
  C)
   6                    
  done clear
  D)
   8
  done clear
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• question_answer6)
  The least number, which when divided by 48, 60, 72, 108, 140 leaves 38, 50, 62, 98 and 130 remainders respectively, is
  A)
   11115
  done clear
  B)
          15110
  done clear
  C)
   15120 
  done clear
  D)
   15210
  done clear
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• question_answer7)
  HCF of first 200 prime numbers which are of the form 10p+1 is
  A)
   10                   
  done clear
  B)
   7
  done clear
  C)
   6                    
  done clear
  D)
   None of these
  done clear
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• question_answer8)
  The LCM of \[\frac{1}{3},\frac{5}{6},\frac{2}{9},\frac{4}{27}\] is:
  A)
   \[\frac{1}{54}\]
  done clear
  B)
          \[\frac{10}{27}\]
  done clear
  C)
   \[\frac{20}{3}\]            
  done clear
  D)
   None of these
  done clear
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• question_answer9)
  If HCF \[(a,b)=12\] and \[(a\times b)=1800,\]then LCM \[(a,b)=\]
  A)
   900                 
  done clear
  B)
   150     
  done clear
  C)
   90                   
  done clear
  D)
   3600
  done clear
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• question_answer10)
  There are 264 girls and 408 boys in a school. These children are to be divided into groups of equal number of boys and girls. The maximum number of boys or girls in each group will be
  A)
   11                   
  done clear
  B)
   17      
  done clear
  C)
   24       
  done clear
  D)
   36
  done clear
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• question_answer11)
  Three bells begin tolling at the same time and continue to do so at intervals of 21, 28 and 30 seconds respectively. The bells will toll together again after
  A)
   7 seconds                     
  done clear
  B)
   420 seconds
  done clear
  C)
   630 seconds     
  done clear
  D)
   1764 seconds
  done clear
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• question_answer12)
  The ratio of two numbers is 3 : 4 their HCF is 4. Their LCM is:
  A)
   12                   
  done clear
  B)
   16       
  done clear
  C)
   24       
  done clear
  D)
          48
  done clear
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• question_answer13)
  Product of two co-prime numbers is 117. Their LCM should be
  A)
   1                    
  done clear
  B)
   117
  done clear
  C)
   Equal to their HCF
  done clear
  D)
   0
  done clear
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• question_answer14)
  Which of the following pairs of fraction add up to a number more than 5?
  A)
   \[\frac{5}{3},\frac{3}{4}\]        
  done clear
  B)
   \[\frac{7}{3},\frac{11}{5}\]
  done clear
  C)
   \[\frac{11}{4},\frac{8}{3}\]      
  done clear
  D)
   \[\frac{13}{5},\frac{11}{6}\]
  done clear
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• question_answer15)
  The length and breadth of rectangular field are 55 m and 45 m respectively. The length of the largest rod (in m) that can measure the length and breadth of the field exactly, is
  A)
   11 m   
  done clear
  B)
   9 m     
  done clear
  C)
   5 m     
  done clear
  D)
   10 m
  done clear
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• question_answer16)
  One pendulum ticks 57 times in 58 seconds and another 608 times in 609 seconds. If they started simultaneously, find the time after which they will tick together.
  A)
   \[\frac{211}{19}s\]       
  done clear
  B)
   \[\frac{1217}{19}s\]
  done clear
  C)
   \[\frac{1218}{19}s\]     
  done clear
  D)
   \[\frac{1018}{19}s\]
  done clear
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• question_answer17)
  Four runners started running simultaneously from a point on a circular track they took 200 sec, 300 sec, 360 sec and 450 sec to complete one round, after how much time do they meet at the starting point for the first time?
  A)
   1800 sec          
  done clear
  B)
   3600 sec
  done clear
  C)
   2400 sec          
  done clear
  D)
   4800 sec
  done clear
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• question_answer18)
  The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.                           
  A)
   161                 
  done clear
  B)
   171     
  done clear
  C)
   181                 
  done clear
  D)
   191
  done clear
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• question_answer19)
  Three bells toll at intervals of 9, 12 and 15 minutest respectively. All the three begin to toll at 8 a.m. At what time will they toll together again?
  A)
   8.45 a.m.        
  done clear
  B)
   10.30 a.m.
  done clear
  C)
   11.00 a.m.       
  done clear
  D)
   1.30 p.m.
  done clear
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• question_answer20)
  Four bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times they will toll together in one hour excluding the one at the start?
  A)
   7 times
  done clear
  B)
   8 times
  done clear
  C)
   9 times
  done clear
  D)
   11 times
  done clear
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