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Q.

Please help Sahu decode the jail lock. Chach Choudhary gave Sabu a formula :

f1=xz×y;f2=tv×u;f3=rs×w

Sahu can open the lock if he finds the value of 3f1+f2+f3= key where :

Number of triangular faces in a truncated tetrahedron = x
Number of hexagonal faces in a truncated tetrahedron = y3×43+2+2=8

Number of corners in a truncated tetrahedron = z
Number of square faces in a truncated octahedron = t
Number of hexagonal faces in a truncated octahedron = u

Number of corners in a truncated octahedron = v
Number of triangular faces in a truncated cube = w
Number of octagonal faces in a truncated cube = r
Number of corners in a truncated cube = s
What is the KEY?

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answer is 8.

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Detailed Solution

x=4,y=4,z=12,t=6,u=8v=24,w=8,r=6,s=24

xz×y43,,tv×u2,rs×w2,

3×43+2+2=8

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