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Question

x2 420 15
y 3 710 12
z 1051 4/3
Observe the table and find the quantities which are in inverse proportion

A
x and y
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B
x and z
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C
y and z
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D
None of the above
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Solution

The correct option is B x and z
By definition of inverse proportion,
a α 1b i.e. a=K1b K= constant of proportionality
a×b=K
From given example, consider
x×y=2×34×720×1015×12
x×z=2×10=4×5=20×1=15×43=20
x and z obey the equation 1
Hence x and z are in inverse proportion.
Answer is B

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