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Question

If 2a=3b=6c, then c= .


Correct Answer
A
aba+b
Your Answer
B
aa+b
Your Answer
C
a1+b
Your Answer
D
abca+b

Solution

The correct option is A aba+b
Let 2a=3b=6c=k
So, 2a=k
k1a=2 ... (i)
Similarly, k1b=3 ... (ii)
and k1c=6 ... (iii)
Now, we know that 6=2×3
Putting the values of 6, 2 and 3, from (i), (ii) and (iii) we get:
k1c=k1a×k1bk1c=k1a+1b1c=1a+1b1c=b+aab
c=aba+b

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