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Find out the values of $X, Y and Z$ in the given factor tree.

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$X = 36, Y = 3, Z = 8$

$X = 36, Y = 2, Z = 9$

$X = 54, Y = 2, Z = 6$

$X = 36, Y = 3, Z = 9$

answer is B.

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Detailed Solution

Given:

A factor tree.

We have to find the values of $X, Y and Z$ .

$Z = 3 \times 3 = 9$ .

Now, let us check the given options.

In option B, we have $Z = 9$ .

So, if $Y = 2$ , then $X = 36$ .

In option D, we have $Z = 9$ .

So, if $Y = 3$ , then $X \neq 36$ .

In options A and C, $Z \neq 9$ .

Hence, option B is correct.

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