Encontrado o caminho correto,
$ printf 'log-queries\nlog-async\nmax-cache-ttl=10800\n' | sudo tee /etc/dnsmasq.d/dnsmasq.cache.conf
log-queries
log-async
max-cache-ttl=10800
$ sudo /etc/init.d/dnsmasq restart
[ ok ] Restarting dnsmasq (via systemctl): dnsmasq.service.
$ dig drive.google.com
;; QUESTION SECTION:
;drive.google.com. IN A
;; ANSWER SECTION:
drive.google.com. 299 IN A 172.217.2.110
;; Query time: 37 msec
;; SERVER: 192.168.2.102#53(192.168.2.102)
;; WHEN: Thu Oct 05 22:26:45 EDT 2017
;; MSG SIZE rcvd: 61