Question

Spokesperson: In the 2006 election of the city mayor, 55% of the voters were female. All the voters were between ages 18 and 70 and 2/3 of them supported the incumbent mayor. The incumbent mayor won the election with a substantially greater number of votes than any other candidate.

If the statements made by the Spokesperson are true, then which of the following must be true?

(A) At least 1/2 of the female voters supported the incumbent mayor.
(B) The incumbent mayor received stronger support from the female voters than from the male voters.
(C) There were no other candidates in the election who received more than 30% of all the votes.
(D) 45% of the voters in the election were male and none of them were 75 years old.
(E) If the proportion of male and female voters in the city remains the same, the incumbent mayor is also likely to win the next election.

Answer 1

d)

Step-by-step explanation:

Following the statements of the spokesperson, we can only reach certain conclusions for sure.

We know that 55% of the voters were female, therefore, the rest of them were male. This means that 45% of the voters were male.

Also we know that all the voters were between the ages 18 and 70 so there were no voters younger than 18 or older than 70.

Thus, d) 45% of the voters in the election were male and none of them were 75 years old. is true.

The other statements don't necessarily follow from the spokesperson, or at least we'd need more information to really know.