The earthquake occurred on Saturday at 11:56 April 25th, 2015 NPT or 6:11 UTC (see http://en.wikipedia.org/wiki/April_2015_Nepal_earthquakeN.b. NPT is UTC + 5:45.

Internet service was disrupted after the earthquake hit near the capital city of Kathmandu on Saturday and cloud services provider Akamai said its traffic to the country saw a steep decline just after 6:00 UTC. 

Nepal Telecom survived the earthquake while smaller Internet service providers experienced outages, Internet performance monitoring company Dyn said. It had earlier reported that the earthquake had rattled the Internet in the country. From http://www.itworld.com/article/2914975/internet-steady-in-nepal-after-earthquake-but-lastmile-connectivity-an-issue.html

Impact on NREN Web site access

The impact on PingER measurements is seen below for measurements from SLAC to the Web site for the Nepal National Research and Education Network in Khatmandu. It is seen that there is 100% loss  from after 7:39  soon after the earthquake (Spreadsheet) until 11:29. It is interesting to see that the connectivity stayed up for at least 1 hour 28 minutes after the earthquake.

Executing exec(traceroute -m 30 -q 1 -w 3 -A 202.52.0.2 140)
traceroute to 202.52.0.2 (202.52.0.2), 30 hops max, 140 byte packets
 1  rtr-servcore1-serv01-webserv.slac.stanford.edu (134.79.197.130) [AS3671]  0.483 ms
 2  rtr-core1-p2p-serv01-02.slac.stanford.edu (134.79.253.253) [AS3671]  0.355 ms
 3  rtr-fwcore1-trust-p2p-core1.slac.stanford.edu (134.79.254.134) [AS3671]  0.744 ms
 4  rtr-core2-p2p-fwcore2-untrust.slac.stanford.edu (134.79.254.149) [AS3671]  0.856 ms
 5  *
 6  sunncr5-ip-c-slac.slac.stanford.edu (192.68.191.233) [AS3671]  1.697 ms
 7  transpac-1-is-jmb-780.lsanca.pacificwave.net (207.231.246.136) [*]  8.930 ms
 8  tokyo-losa-tp2.transpac.org (192.203.116.146) [*]  124.473 ms
 9  kote-dc-gm1-xe2-2-1-4005.jp.apan.net (203.181.248.249) [AS7660]  124.522 ms
10  sg-xe-01-v4.bb.tein3.net (202.179.249.77) [AS24489]  193.449 ms AS24489 TEIN2-NORTH-AP Trans-Eurasia Information Network (TEIN2) - North,CN
11  mb-so-01-v4.bb.tein3.net (202.179.249.54) [AS24489]  251.349 ms
12  np-pr-v4.bb.tein3.net (202.179.249.126) [AS24489]  296.617 ms
13  gw-vlan224.nren.net.np (202.52.1.33) [AS38217/AS45170]  296.894 ms AS45170 NREN-AS-NP Nepal Research and Education Network,NP
14  ns.nren.net.np (202.52.0.2) [AS38217/AS45170]  296.968 ms AS38217 DS-AS-NP Dataspace Pvt. Ltd.,NP
traceroute -m 30 -q 1 -w 3 -A 202.52.0.2 140 took 4secs. Total time=4secs.

Impact on Government web site

It is seen in the plot below that no measurements were available after 7:39 and before 11:09 on April 25th, 2015 UTC (Nepal is 5:45 hours ahead of UTC).

The impact of the aftershock on May 12/2015 at 7:16am UTC is seen below  to be much smaller than that for the initial earthquake (i.e. 100% loss at the 9:30am measurement).

In the plot below it is seen that following the initial earthquake the performance degraded (i.e. longer RTTs). The lack of measurements on May 5 and 6 is since the monitoring host at SLAC was being upgraded and did not make any measurements.

FAQ

Why is there no data from for www.nren.net.np from 0842-1143 on April 15th.

The event occurred at 0611UTC, and for 2.5 hours(!) the connectivity from SLAC to NNREN was maintained quite well, it seems.

There is a second gap in the www.most.gov.np on 25 April from 1309-1939UTC, for which a similar question arises about the gap source.