by Rabbi Chaim Brovender, Rosh Yeshiva of WebYeshiva.org

The question, of course, is why the sixth of Sivan, the day that began the forty-day study of the Torah by Moshe? When he came down from Sinai and saw what depravity had enveloped the people and that they had built the golden calf, Moshe made a decision. Since there was no one to give the Torah to, he broke the tablets and then went to see if he could save the people (he did). Subsequently, Moshe went up the mountain of Sinai again and received the Torah a second time and returned to the camp on the tenth of Tishrei, Yom HaKippurim, and gave the Torah he had received, the second set of Tablets to the people. Wouldn’t it be reasonable to celebrate the Torah on the day it was actually given to the people; around Yom Kippur, and not the day which ended by the Torah not being given and being received by the Jewish people?

“In the third month from the exodus of the children of Yisrael from Egypt, on that day, they arrived at the wilderness of Sinai” (Shemot [Exodus] 19:1).

Other versions of this same scripture (why the inconsistency!?!):

Please Note: The NIV or Nearly Inspired Version is way off the path!

NIV

On the first day of the third month after the Israelites left Egypt--on that very day--they came to the Desert of Sinai.

New Living Translation

Exactly two months after the Israelites left Egypt, they arrived in the wilderness of Sinai.

English Standard Version

On the third new moon after the people of Israel had gone out of the land of Egypt, on that day they came into the wilderness of Sinai.

New American Standard Bible

In the third month after the sons of Israel had gone out of the land of Egypt, on that very day they came into the wilderness of Sinai.

King James Bible

In the third month, when the children of Israel were gone forth out of the land of Egypt, the same day came they into the wilderness of Sinai.

Holman Christian Standard Bible

In the third month, on the same day of the month that the Israelites had left the land of Egypt, they entered the Wilderness of Sinai.

International Standard Version

On the third New Moon after the Israelis went out of the land of Egypt, on that very day, they came to the desert of Sinai.

NET Bible

In the third month after the Israelites went out from the land of Egypt, on the very day, they came to the Desert of Sinai.