Please post one question per thread..

Q1.
{A} - INCORRECT; "both" and "other" creates meaning issue; "each other" would have been better
{B} - CORRECT;
{C} - INCORRECT; "blame" doesn't go with "each"
{D} - INCORRECT; "are blaming" & "other" are wrong.. "each other" would have been better
{E} - CORRECT;

Is there some mistake ???

Q2.
{A} - INCORRECT; "each of them" is redundant.
{B} - INCORRECT; "being" gives a meaning that they are getting inoculated
{C} - INCORRECT; "being" gives a meaning that they are getting inoculated
{D} - CORRECT;
{E} - INCORRECT; "Visas" & "landing cars" should be singular

At the orientation meeting, the travelers were told that a visa,a landing card, and evidence of inoculation against typhoid fever would be needed by each of them.

A. a visa a landing card, and evidence of inoculation against typhoid fever would be needed by each of them.
B. they would need a visa, a landing card , and evidence of their being inoculated against typhoid fever
C. they would need evidence of being inoculated against typhoid fever and a visa and landing card
D. they would each need a visa, a landing card, and evidence of inoculation against typhoid fever
E. they would need visas,landing cards, and evidence of inoculation against typhoid fever for each of them

Answer: D (Why not E?)

E is also wrong because of the misplaced - each of them - this means each of traveller would require evidence of inoculation against typhoid fever.
The intended meaning of the sentence is each of the traveller would require the following things 1) a visa 2) a landing card and 3) evidence of inoculation against typhoid fever

Hi
In answer choice B: 'are blaming' is incorrect because this implies that the blame is happening at the same moment as they are agreeing with each other. B is better. 'are VERBing' emphasizes the ongoing nature of an action. Someone please correct if I am wrong.