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#LRDIoftheDay #12 Easy-moderate set.
Exactly six dogs—P, Q, R, S, T, and U—are entered in a dog show. The judge of the show awards exactly four ribbons, one for each of first, second, third, and fourth places, to four of the dogs. The information that follows is all that is available about the six dogs:
a. Each dog is either a greyhound or a labrador, but not both.
b. Two of the six dogs are female and four are male.
c. The judge awards ribbons to both female dogs, exactly one of which is a labrador.
d. Exactly one labrador wins a ribbon.
e. Dogs P and R place ahead of dog S, and dog S places ahead of dogs Q and T.
f. Dogs P and R are greyhounds.
g. Dogs S and U are labradors.
1. Which one of the following is a complete and accurate list of the dogs that can be greyhounds?
(A) P, Q
(B) P, R
(C) P, Q, R
(D) P, R, T
(E) P, Q, R, T
2. Which one of the following statements CANNOT be true?
(A) A female greyhound wins the second place ribbon.
(B) A female labrador wins the second place ribbon.
(C) A female labrador wins the third place ribbon.
(D) A male greyhound wins the fourth place ribbon.
(E) A female greyhound wins the fourth place ribbon.
3. Which one of the following dogs must be male?
(A) dog P
(B) dog R
(C) dog S
(D) dog T
(E) dog U
4. Which one of the following statements can be false?
(A) Dog P places ahead of dog R.
(B) Dog P places ahead of dog T.
(C) Dog R places ahead of dog U.
(D) Dog R places ahead of dog T.
(E) Dog S places ahead of dog U.
5. If dog Q is female, which one of the following statements can be false?
(A) Dog P is male.
(B) Dog R is male.
(C) Dog Q wins the fourth place ribbon.
(D) Dog Q is a greyhound.
(E) Dog T is a greyhound.
6. If dog T wins the fourth place ribbon, then which one of the following statements must be true?
(A) Dog P is male.
(B) Dog Q is male.
(C) Dog T is male.
(D) Dog Q is a labrador.
(E) Dog T is a labrador.
7. Which one of the following statements could be true?
(A) Dog P does not win a ribbon.
(B) Dog R does not win a ribbon.
(C) Dog S does not win a ribbon.
(D) Dog T wins a ribbon.
(E) Dog U wins a ribbon.
The solution:
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