In word ARTICLE.There are 3 vowels and 4 consonants
Total no of letters =7
Total no of even place =3
There are 3 vowels to be filled in 3 places
Hence the no of ways =$3C_3=1$
The vowels can arrange among themselves in 3! ways
Now the four consonants can fill the remaining 4 places in =4!
$\Rightarrow 4\times 3\times 2\times 1$
The total no of words formed =$1\times 6\times 24$
$\Rightarrow 144$ ways
Hence (B) is the correct answer.