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Arrange the following in the decreasing order: A. LCM of 10, 20, 10 B. LCM of 25/3, 40/9, 50/6 C. HCF of 600, 150, 675 D. LCM of 4, 6, 9 E. HCF of 0
Question

Arrange the following in the decreasing order:
A. LCM of 10, 20, 10

B. LCM of 25/3, 40/9, 50/6

C. HCF of 600, 150, 675

D. LCM of 4, 6, 9

E. HCF of 0.5, 1.5, 3.5
Choose the correct answer from the options given below:

A.

A > C > B > D > E

B.

A > C > B > E > D

C.

C > B > D > A > E

D.

A > B > C > E > D

Correct option is C

Given:
A = LCM of 10, 20, 10
B = LCM of 25/3, 40/9, 50/6
C = HCF of 600, 150, 675
D = LCM of 4, 6, 9
E = HCF of 0.5, 1.5, 3.5
Formula:
LCM of fractions = LCM of numerators / HCF of denominators
HCF of fractions = HCF of numerators / LCM of denominators
Solution:
For A:
A = LCM of 10, 20, 10
= 20
For B:
LCM of 25, 40, 50 = 200
HCF of 3, 9, 6 = 3
Therefore,
B = 200/3
= 66.67
For C:
C = HCF of 600, 150, 675
= 75
For D:
D = LCM of 4, 6, 9
= 36
For E:
0.5 = 1/2, 1.5 = 3/2, 3.5 = 7/2
Therefore,
E = HCF of 1/2, 3/2, 7/2
= 1/2
= 0.5
Thus, the values are:
A = 20
B = 66.67
C = 75
D = 36
E = 0.5
Therefore, the decreasing order is:
C > B > D > A > E

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