Correct Answer: 1.5 cm

Solution :
Given: $\frac{AD}{BD}$ = $\frac{3}{5}$
In $\triangle$ABC and $\triangle$DBE,
$\angle$BAC = $\angle$DAE (same angle)
$\angle$ADE = $\angle$ABC (corresponding angles)
$\angle$AED = $\angle$ACB (corresponding angles)
By AAA similarity, $\triangle$ABC ~ $\triangle$ADE
⇒ $\frac{AD}{AB}$ = $\frac{AD}{AD+BD}$ = $\frac{3}{3+5}$ = $\frac{3}{8}$
Now, $\frac{AD}{AB}$ = $\frac{AE}{AC}$
⇒ $\frac{3}{8}$ =

Correct Answer: 6

Solution : The bottom face in the last cube is the face opposite to 4.
Taking dice positions 2 and 3 with 4 as the common face,

Moving clockwise from the common face with 4,

Pairs of opposite faces –

So, the bottom face in the last

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