[Heber J. Grant]
You inquire as to whether or not the negroes can hold the priesthood?
In answer will say that no person having negro blood in his veins is permitted to hold the priesthood, nor do we allow such persons to go through the temple to receive endowments for themselves or their kindred dead. ...
You ... ask, 'Who are the brown and yellow races of people?'
I take it for granted that you refer to the Mongolians, including the Chinese and Japanese and the East Indian who are not of the black race. If so it is my understanding that these people are descendants of Shem and Japheth.
[Heber J. Grant, Letter to Brigham H. Clegg, as quoted in Minutes of the Apostles of The Church of Jesus Christ of Latter-day Saints, 1910-1951, Privately Published, Salt Lake City, Utah 2010]