section 5
Questions 1-6
A control panel consists of three on-off switches-X, Y, and Z-which must be changed from an initial setting to a second setting in accordance with the following rules:
If switch X is the only one on in the initial setting, then turn on switch Y.
If switches X and Y are the only ones on in the initial setting, then turn on switch Z.
If all three switches are on in the initial setting. then turn off switch Z.
For any other initial setting, turn on all switches that are off and turn off all switches, if any, that are on.
1. If the initial setting is X on, Y on, Z off, what is the second setting?
(A) X on, Y on, Z on
(B) X on, Y off. Z on
(C) X on. Y off. Z off
(D) X off, Y on, Z off
(E) X off, Y off. Z on
2. If Y is the only switch on in the initial setting, what must be the second setting?
(A) X on, Y on, Z on
(B) X on, Y on, Z off
(C) X on, Y off, Z on
(D) X off, Y off, Z on
(E) X off, Y off, Z off
3. If all three switches are on in the second setting, which of the following could have been the initial setting?
(A) X on, Y on, Z on
(B) X on, Y on, Z off
(C) X on, Y off, Z on
(D) X on, Y off, Z off
(E) X off, Y on, Z off
4. If X is off in the second setting, which of the following must have been the initial setting?
(A) X on, Y on, Z on
(B) X on, Y on, Z off
(C) X on, Y off, Z on
(D) X on, Y off, Z off
(E) X off, Y on, Z off
5. If only Y is on in the second setting, which of the following must have been the initial setting?
(A) X on, Y on, Z on
(B) X on, Y off, Z on
(C) X off, Y on, Z off
(D) X off, Y off, Z on
(E) X off, Y off, Z off
6. Which of the following initial settings results in a second setting which only one switch is off?
(A) X on, Y on, Z off
(B) X on, Y off, Z on
(C) X off, Y on, Z on
(D) X off, Y on, Z off
(E) X off, Y off, Z off
7. The United States Bureau of the Census estimates that the United States began 1980 with a population of 221,895.548-a net increase of about 2 million during 1979. The bureau also reported that the 1979 population gain was slightly higher than the 1.8 million net increase of 1978. The record annual gain was a population increase of 3.1 million during the 1956 "baby boom."
Which of the following conclusions about the number of people in the United States can be validly drawn from the statement above?
(A) The number of people was higher in 1978 than it was in 1979.
(B) The number of people was at an all time high in 1956.
(C) The number of people added to the population of the United States was greater in 1979 than it was in either 1956 or 1978.
(D) The number of people remained the same from 1977 to 1980.
(E) The number of people added to the population in 1956 was greater than the number added in any single year in the 1970's.
8. W and Z are each taller than V and than Y. If the statement above is true, one can conclude with certainty that X is taller than Y if one knows, in addition that
(A) V is taller than Y.
(B) W is taller than X.
(C) W is taller than Z.
(D) X is taller than V.
(E) X is taller than Z.
9. An analysis of the best times in the marathon for men and women worldwide over the past ten years shows that the women's record has been dropping about seven times faster than the men's record. At this point, however, the fastest men marathoners are still considerably ahead of the fastest women.
Which of the following conclusions is best supported by the statements above?
(A) Ten years ago, men marathoners came closer to the performance limits for men than women marathoners did to those for women.
(B) The years ago, women who were superior runners did not compete in the marathon as often as women who are superior runners do today.
(C) The women's record for the marathon will continue for another decade.
(D) In due course, the world's best marathon times for men and women will no longer be kept as two separate records.
(E) The current women's record for the marathon is a faster time than the men's record was ten years ago.
Questions 10-12
Six doctors-F, G, H, J, K, and L-are moving into offices in a two-story office building. On each floor of the building there are four offices, exactly the same size, in a row. Offices are numbered 11, 12, 13, and 14 from left to right on the first floor and 21,22, 23, and 24 from left to right on the second floor. The doctors must select their offices according to the following restrictions:
F's office must be on the first floor.
J's office must be immediately adjacent to G's office.
K's office cannot be immediately adjacent to L's office.
L's office cannot be on the same floor as G's office.
10. If G is in 21, which of the following doctors could be in 11, 12 and 13, respectively?
(A) F, H, L
(B) F, J, K
(C) K, L, H
(D) L, J, F
(E) L, K, F
11. If H is in 11, G is in 14, and K is in 21, none of the six doctors can be in
(A) 12
(B) 13
(C) 22
(D) 23
(E) 24
12. If F is in 11, which of the following doctors CANNOT be in 13?
(A) G
(B) H
(C) J
(D) K
(E) L |
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