Question

# If 2a=3b=6c, then c= .

A
aba+b
B
aa+b
C
a1+b
D
abca+b

Solution

## The correct option is A aba+bLet 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×k1b⇒k1c=k1a+1b⇒1c=1a+1b⇒1c=b+aab ⇒c=aba+b

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