Hello, everyone. I see a lot of queries in the thread about options (A) and (E), so I thought I would take a moment to offer my thoughts on the question. The good news about a
must be true question is that a lot of the guesswork (or pre-thinking) that can go into other questions can be bypassed. We can take comfort in knowing that our powers of inference should
not be taxed.
carcass
Figures issued by the government of a certain country show that in 1980 the public sector and the private sector each employed the same number of people. Between 1980 and 1984, according to the government, total employment decreased in the public sector more than it increased in the private sector.
If, according to governmental figures, the unemployment rate in this country was the same in both 1980 and 1984, which of the following statements must be true about this country?
For the mathematically inclined individual, the passage ought to be a piece of cake to break down.
1980:
the same number of public and private sector employees
1984: decrease in public sector employees > increase in private sector employees
We can use
employees because the figures reported for both years are given in
number of people and
total employment, so we need not worry about percentages or proportions.
Quote:
(A) Fewer people were in the labor force, as counted by the government, in 1984 than in 1980.
Absolutely correct. There is nothing to find fault with here. Based on the information provided, there are only two sectors of employment for the country under scrutiny: public or private. Note, again, that
total employment means
people employed, or those
in the labor force. If the public and private sectors had equal numbers of employees in 1980, but then the public sector lost more workers than the private sector gained, then it
must be true that, according to the government, the labor force has decreased on the whole. If you want an algebraic solution, how about we use
P, since it can conveniently refer to both public and private sector employees? How about we let the decrease in the public sector be 2 percent while the increase in the private sector be 1 percent?
1980: P | P → P + P = 2P
1984: (1 - 0.02)P | (1 + 0.01)P → 0.98P + 1.01P = 1.99P
The labor force on the whole has decreased. We could use any numbers we wanted for the percents, as long as we observed the inequality above that the decrease in one group must be greater than the increase in the other. The answer would be the same, showing a net decrease in P.
Quote:
(B) The competition for the available work increased between 1980 and 1984.
We have no idea what type of work was
available in either year. All we have figures for is
total employment, not the number of jobs on the market. This should be an easy elimination.
Quote:
(C) The government's figures for total employment increased between 1980 and 1984.
If ever there were a reversal of an accurate conclusion, this would be it. As explained above, it must be true that total employment decreased between 1980 and 1984, according to the figures.
Quote:
(D) The number of people counted by the government as unemployed was the same in 1980 and 1984.
Again, stick to what the passage tells you. We are not provided information on the total working-age population in either year, and we have no idea what the unemployment situation may have looked like in 1980 or 1984. Thus, we are not in a position to say whether the
unemployed population was the same or different from one year to the other.
Quote:
(E) In 1984 more people sought work in the private sector than in the public sector
I am guessing that the irregular past tense of the verb
to seek is throwing people off here. We often hear of
job-seekers. This answer choice is simply speaking of that group of people in the past, as those who
sought work. The problem is that figures of total employment can only be used to tell the number of people employed in the public or private sector in a given year. We have no idea what job-seekers were aiming to do. It could be true that more people sought work in the
public sector in 1984, but that there were fewer jobs to fill, or that those that were available required better credentials of candidates than those jobs that were available in the private sector. We are getting into a fun little side story now, but the point is that we
cannot tell what job-seeking
preferences or
actions people may have had or taken by looking at employment figures alone. This is not a must-be-true option.
Perhaps the question makes more sense now. As always, good luck with your studies.
- Andrew