Which part of the given diagram represents the common factors of 165, 42 and 30.

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Solution

The correct option is A

The given figure shows a representation of the factors of 30, 42 and 165.

Factors of 30 = 1, 2 , 3 , 5 , 6 , 10 , 15 , 30

Factors of 42= 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42

Factors of 165=1 , 3 , 5 , 11 , 15 ,33 , 55 , 165
Region 'C' belongs to the common factors.

∴ Common factors of 30 , 42 and 165 = 1 and 3

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