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11.
The H.C.F. of two numbers is 12 and their difference is 12. The numbers are:
  • A.
    66, 78
  • C.
    94, 106
  • B.
    70, 82
  • D.
    84, 96
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Answer : [D]
Explanation :
 
Out of the given numbers, the two with H.C.F. 12 and difference 12 are 84 and 96
 
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12.
The L.C.M. of 23 x 32 x 5 x 11, 24 x 34 x 52 x 7 and 25 x 33 x 53 x 72 x 11 is:
  • A.
    23 x 32 x 5
  • C.
    23 x 32 x 5 x 7 x 11
  • B.
    25 x 34 x 53
  • D.
    25 x 34 x 53 x 72 x 11
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Answer : [D]
Explanation :
 
L.C.M. = Product of highest powers of prime factors = 25 x 34 x 53 x 72 x 11
 
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13.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
  • A.
    4
  • C.
    9
  • B.
    7
  • D.
    13
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Answer : [A]
Explanation :
 
Required number = H.C.F. of (91 43), (183 91) and (183 43)
 
  = H.C.F. of 48, 92 and 140 = 4    
 
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14.
The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is:
  • A.
    1008
  • C.
    1022
  • B.
    1015
  • D.
    1032
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Answer : [B]
Explanation :
 
Required number = (L.C.M. of 12, 16, 18, 21, 28) + 7
 
  = 1008 + 7  
 
  = 1015  
 
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15.
The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
  • A.
    91
  • C.
    1001
  • B.
    910
  • D.
    1911
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Answer : [A]
Explanation :
 
Required number of students = H.C.F. of 1001 and 910 = 91
 
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