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31.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
  • A.
    4
  • C.
    15
  • B.
    10
  • D.
    16
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Answer : [D]
Explanation :
 
L.C.M. of 2, 4, 6, 8, 10, 12 is 120.
 
So, the bells will toll together after every 120 seconds, i.e, 2 minutes.
 
In 30 minutes, they will toll together  
 
30
2
 
 + 1    = 16 times  
 
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32.
The H.C.F of 2923 and 3239 is :
  • A.
    37
  • C.
    73
  • B.
    47
  • D.
    79
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Answer : [D]
Explanation :
 
2923) 3239 (1      
  2923        
  316   ) 2923 (9    
    2844      
    79  ) 316 (4  
      316    
      x    
           
 
      H.C.F. = 79    
 
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33.
The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is:
  • A.
    11115
  • C.
    15120
  • B.
    15110
  • D.
    15210
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Answer : [B]
Explanation :
 
Here (48 - 38) = 10, (60 - 50) = 10, (72 - 62) = 10, (108 - 98) = 10 & (140 - 130) = 10.
 
   Required number = (L.C.M. of 48, 60, 72, 108, 140) 10  
 
  = 15120 10  
 
  = 15110  
 
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34.
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
  • A.
    279
  • C.
    308
  • B.
    283
  • D.
    318
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Answer : [C]
Explanation :
 
 Other number =   11 x 7700    = 308  
275  
 
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35.
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
  • A.
    3
  • C.
    23
  • B.
    13
  • D.
    33
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Answer : [C]
Explanation :
 
L.C.M. of 5, 6, 4 and 3 = 60.
 
On dividing 2497 by 60, the remainder is 37.
 
   Number to be added = (60 37) = 23  
 
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