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Question

If x:y=3:8 and y:z=4:9, then the triplicate ratio of x:z is _____

A
27:512
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B
1:216
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C
64:729
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D
3:9
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Solution

The correct option is A 1:216
x:y=3:8 and y:z=4:9
xy×yz=38×49=16
x:z=1:6
The triplicate ratio of x:z is x3:z3=(1)3:(6)3=1:216

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