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Question

If (a2b3c)4.(abc)3(a3bc1)2=ambncp then m+n+p has the value equal to

A
24
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B
54
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C
27
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D
34
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Solution

The correct option is B 54
Given,
(a2b3c)4.(abc)3(a3bc1)2=ambncp

a8.b12.c4.a3.b3.c3a6.b2.c2=ambncp

a5b13c9=ambncp

Squaring on both sides
a10.b26.c18=am.bn.cp

On comparing we get,
m=10,n=26,p=18

Hence the value of m+n+p=10+26+18=54

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