Arithmatical - HCF and LCM of Numbers

DIRECTIONS : Problems based on HCF and LCM.
6. The G.C.D of 1.08, 0.36 and 0.9 is
  A.  0.03
  B.  0.9
  C.  0.18
  D.  0.108
Solution
Given numbers are 1.08 , 0.36 and 0.90.
H.C.F of 108 ,36 and 90 is 18.
‹=› H.C.F of given numbers = 0.18.
7. Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
  A.  4, 8, 12
  B.  5, 10,15
  C.  10, 20, 30
  D.  12, 24, 36
Solution
Let the required numbers be x, 2x and 3x.
Then, their H.C.F = x. So x = 12.
The numbers are 12, 24, 36.

8. A rectangular courty 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose ?
  A.  14 cms
  B.  21 cms
  C.  42 cms
  D.  None of these
Solution
Largest size of the tile .
H.C.F of 378 cm and 525 cm = 21 cms.
9. The product of two numbers is 1320 and their H.C.F is 6.The L.C.M of the numbers is
  A.  220
  B.  1314
  C.  1326
  D.  7920
Solution
L.C.M= product of numbers / H.C.F
‹=› 1320 / 6
‹=›220.
10. The H.C.F. of two numbers is 12 and their difference is 12. The numbers are
  A.  66, 78
  B.  70, 82
  C.  94, 106
  D.  84, 96
Solution
Out of the given numbers, the two with H.C.F. 12 and difference 12 are 84 and 96.
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