A combination of three fabrics is being chosen to decorate a room. The fabrics must be chosen from a group of seven fabrics-F, G, H, J, K, L, and M-according to the following conditions:
If F or G is chosen, the other must also be chosen.
H and J cannot be chosen together.
Either H or F or both must chosen.
1. Which of the following combinations of fabrics conforms to the conditions?
(A) F, H, J
(B) F, K, L
(C) G, H, M
(D) H, J, L
(E) H, K, M
2. If J is chosen, which of the following pairs of fabrics must also be chosen?
(A) F and G
(B) F and M
(C) G and H
(D) H and K
(E) K and L
3. If K is chosen, which of the following pairs of fabrics could also be chosen?
(A) F and H
(B) F and L
(C) G and H
(D) H and L
(E) L and M
4. If H and M are chosen, how many of the remaining fabrics could possibly be the third fabric chosen?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
5. If L is chosen, which of the following fabrics CANNOT be chosen?
(A) G
(B) H
(C) J
(D) K
(E) M
6. In the normal progression of life, people die approximately in order of birth. Therefore, when a younger person predeceases an older person, that death may be especially painful to the survivor, who feels that a law of nature has been violated.
The argument above best supports which of the following conclusions?
(A) When children die before their parents, the loss is perhaps more intensely felt than when the parents are the first to die.
(B) It is perfectly normal for children whose parents predecease them to feel little grief.
(C) Laws of nature are merely general descriptions, and as such they offer little consolation to those whose loved ones predecease them.
(D) When the older of two parents dies first, the grief of the surviving parent and of the children is likely to be especially intense.
(E) Parents should not feel guilty of neglect when their children the before them.
7. Researchers have recently argued that ancient Greek coins, seals, and gems with elaborate miniature engravings were produced by artisans whose nearsightedness enabled them to do such intricate work. They also suggest that since nearsightedness is hereditary, guilds and families specializing in this work may have favored the recurrence of nearsightedness.
Which of the following, if true, would weaken the researchers' argument?
(A) Roman artisans were influenced by their Greek predecessors and often translated designs of Greek miniature engravings into Roman designs.
(B) Nearsighted individuals are less able than those with ordinary vision to identify objects that are at a great distance from them.
(C)Magnifying glass was not used as a visual aid until the thirteenth century, when Roger Bacon inverted eyeglasses.
(D) Artisans today are unable to reproduce the miniature engravings of ancient Greek artisans without the aid of high-powered magnifying lenses, first produced in the thirteenth century.
(E) The eyesight of nearsighted individuals and those with ordinary vision is not significantly different if the objects viewed are less than a few feet away.
8. Peasants were often faced with a vicious cycle. The manure from their animals was essential for fertilizing their crops, but they often did not have enough crops to feed themselves and their animals, and hence had to slaughter the animals for food.
The cycle is called vicious because
(A) without the animals the peasants would lack the manure for growing their crops
(B) the peasants would become dependent on those who slaughtered the animals
(C) the peasants would want meat in their diet and would be forced to purchase it
(D) successful farming demanded that a farmer rotate crops from one field to another
(E) the animals are faced with starvation
Questions 9-14
Exactly five lights-a green one, a yellow one, a red one, a white one, and a blue one-are arrayed in a straight line on a control panel evenly spaced, going from left to right in the order given above. On the control panel, there can be two types of patterns of lights that are on, called X-sequences and Y-sequences.
An X-sequence of lights is a sequenc