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21.
The H.C.F. of 1.75, 5.6 and 7 is:
  • A.
    0.07
  • C.
    3.5
  • B.
    0.7
  • D.
    0.35
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Answer : [D]
Explanation :
 
Given numbers with two decimal places are : 1.75, 5.60 and 7.00. Without decimal places, these numbers are : 175, 560 and 700, whose H.C.F. is 35.
 
   H.C.F of given numbers = 0.35  
 
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22.
The H.C.F. of 22 x 33 x 55, 23 x 32 x 52 x 7 and 24 x 3 4 x 5 x 72 x 11 is :
  • A.
    22 x 32 x 5
  • C.
    24 x 34 x 55
  • B.
    22 x 32 x 5 x 7 x 11
  • D.
    24 x 34 x 5 5 x 7 x 11
  • Answer & Explanation
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Answer : [A]
Explanation :
 
H.C.F. = Product of lowest powers of common factors = 22 x 32 x 5
 
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23.
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
  • A.
    26 minutes 18 seconds
  • C.
    45 minutes
  • B.
    42 minutes 36 seconds
  • D.
    46 minutes 12 seconds
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Answer : [D]
Explanation :
 
L.C.M. of 252, 308 and 198 = 2772.
 
So, A, B and C will again meet at the starting point in 2772 see i.e., 46 min. 12 sec
 
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24.
The L.C.M. of 1 , 5 , 2 , 4  is:    
3 6 9 27    
  • A.
    1  
    54  
  • C.
    20  
    3  
  • B.
    10  
    27  
  • D.
    None of these
     
     
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Required L.C.M. = L.C.M. of 1,5,2,4 = 20  
H.C.F. of 3,6,9,27 3  
 
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25.
The largest four digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is
  • A.
    8739
  • C.
    9834
  • B.
    9831
  • D.
    9893
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Answer : [B]
Explanation :
 
Greatest number of 4 digits is 9999, L.C.M. of 4, 7 and 13 = 364
 
On dividing 9999 by 364, remainder obtained is 171.
 
   Greatest number of 4 digits divisible by 4, 7 and 13 = (9999 171) = 9828  
 
Hence, required number = (9828 + 3) = 9831
 
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