Time—35 minutes
23 Questions
Questions 1-5
In certain recipe contest each contestant submits submits two recipes. one
for an appetizer and one for a main dish Together the two recipes must include
exactly seven flavorings—fenugreek, ginger, lemongrass, nutmeg, paprika,
saffron, and turmeric—with no flavoring included in more than one of the two
recipes. Each contestant’s recipes must satisfy the following conditions
The appetizer recipe includes at most three of the flavorings.
Fenugreek is not included in the same recipe as nutmeg.
Saffron is not included in the same recipe as turmeric
Ginger is included in the same recipe as nutmeg
1. Which one of the following could be a complete and accurate list of the
flavorings included in one contestant’s main-dish recipe?
(A) fenugreek, lemongrass, saffron
(B) fenugreek, ginger, nutmeg, turmeric
(C) ginger, lemongrass, nutmeg, paprika
(D) ginger, nutmeg, paprika, turmeric
(E) lemongass nutmeg, saffron, turmeric
2. If a contestant’s appetizer recipe does not include fenugreek, then the
contestant’s appetizer recipe must include
(A) ginger
(B) lemongrass
(C) paprika
(D) saffron
(E) turmeric
3. Which one of the following could be a list of all of the flavorings included
in one contestant’s appetizer recipe?
(A) fenugreek, saffron
(B) ginger, nutmeg
(C) fenugreek, nutmeg, turmeric
(D) lemongrass, nutmeg, saffron
(E) fenugreek, lemongrass, paprika, turmeric
4. If a contestant includes lemongrass in the same recipe as paprika, which one
of the following is a flavoring that must be included in the contestant’s main-
dish recipe?
(A) ginger
(B) lemongrass
(C) nutmeg
(D) saffron
(E) turmeric
5. If the condition that requires ginger to be included in the same recipe as
nutmeg is suspended but all of the other original conditions remain in effect.
then which one of the following could be a list of all of the flavorings
included in one contestant’s main-dish recipe?
(A) ginger, lemongrass, nutmeg, paprika
(B) ginger, lemongrass, paprika, turmeric
(C) fenugreek, ginger, lemongrass, paprika, saffron
(D) fenugreek, ginger, lemongrass, saffron, turmeric
(D) fenugreek,lemongrass, nutmeg, paprika, saffron
Questions 6-10
Seven singer—Jamine, Ken, Lalitha, Maya, Norton, Olive, and Patrick—will
be scheduled to perform in the finals of a singing competition. During the
evening of the competition, each singer, performing alone, will give exactly
one performance. The schedule for the evening must conform to the following
requirements.
Jamle performs immediately after Ken
Parick performs at some time after Maya
Lalitha performs third only if Norton performs fifth.
If Patrick does not perform second, he performs fifth
6. Which one of the following is an acceptable schedule for the evening’s
performers, from first through seventh?
(A) Ken, Jamie, Maya, Lalitha, Patrick Norton, Olive
(B) Lalitha, Patrick, Norton, Olive Maya, Ken, Jamie
(C) Norton, Olive Ken, Jamie, Maya, Patrick, Lalitha
(D) Olive, Maya, Ken, Lalitha, Patrick, Norton, Jamie
(E) Olive, Maya, Lalitha, Norton,Patrick, Ken Jamie
7. If Lalitha is scheduled for the third performance which one of the following
must be scheduled for the sixth performance?
(A) Jame
(B) Ken
(C) Norton
(D) Olive
(E) Patrick
8. If Norton is scheduled for the fifth performance, which one of the following
could be true?
(A) Jamie is scheduled for the sixth performance
(B) Ken is scheduled for the second performance
(C) Lalitha is scheduled for the fourth performance.
(D) Maya is scheduled for the third performance
(E) Olive is scheduled for the first performance
9. If Maya is scheduled for the performance. which one of the following could
be true?
(A) Jamie is scheduled for the sixth performance
(B) Ken is scheduled forthe fourth performance
(C) Lalitha is scheduled for the third performance
(D) Norton is scheduled for the fifth performance
(E) Olive is scheduled for the fourth performance
10. If Jamie’s performance is scheduled to be immediately before Lalitha’s
performance, Jamie’s performance CANNOT be scheduled to be
(A) second
(B) third
(C) fourth
(D) fifth
(E) sixth
Questions 11-17
At a small press, six texbooks, three introductory—F. G. and H—and three
advanced—X, Y, and Z—will each be evaluated once by the editor, Juarez, and
once by the publisher. Rosenberg, during six consecutive wees—week 1 through
week 6 Each evaluator evatuates exactly one textbook per week. No textbook will
be evaluated by Juarez and Rosenberg during the same week. The following
additional constraints apply.
Rosenbery cannot evaluate any introductory textbook until Juarez has
evaluated that textbook
Juarez cannot evaluate any advanced textbook until
Rosenberg has evaluated that textbook
Rosenberg cannot evaluate any two introductory textbooks consecutively
Juarez must evaluate X during week 4.
11. Which one of the following is an acceptable evaluation schedule with the
textbooks listed in order of evaluation from week 1 through week 6?
(A) Juarez F. G. X. Z. H. Y
Rosenberg X. F. Z. G. Y. H
(B) Juarez: F, Y, G, X, H, Z
Rosenberg, Y, F, X, G, Z, H
(C) Juarez G, H, F, X, Y, Z
Rosenberg X, G, H, Y, Z, F
(D) Juarez G, Z, F, Z, H, Y,
Rosenberg Z, F, X, G, Y, H
(E) Juarez H, Y, F, X, G, Z
Rosenberg X, H, Z, F, Y, G
12. If Juarez evaluates H during week 3 and Rosenberg evaluates G during week
6, which one fo the following must be true?
(A) Juarez evaluates F during week 1
(B) Juarez evaluates G during week 2.
(C) Juarez evaluates Z during week 6.
(D) Rosenberg evaluates X during week 1
(E) Rosenberg evaluates Y during week 5.
13. If Juarez evaluates Z during week 2, then Rosenberg must evaluate which one
of the following textbooks during week 5?
(A) F
(B) H
(C) X
(D) Y
(E) Z
14. Which one of the following must be true?
(A) Rosenberg evaluates H during week 6
(B) Rosenberg evaluates an advanced textbook during week 3
(C) Juarez evaluates an advanced textbook during week 2.
(D) Juarez evaluates Y before evaluating G.
(E) Juarez does not evaluate any two introductroy textbooks consecutively
15. If Rosenberg evaluates X during week 1 and F during week 2, which one of
the following could be true?
(A) X is the third of the advanced textbooks to be evaluated by Juarez.
(B) Y is the first of the advanced textbooks to be evaluated by Juarez.
(C) Juarez does not evaluate any two introductory texbooks in a row.
(D) Juarez evaluates G during week 5.
(E) Juarez evaluates Z during week 6.
16. Which one of the following is a complete and accurate list of the those
weeks during which Juarez must evaluate an introductory textbook?
(A) week 1
(B) week 6
(C) week 1, week 5
(D) week 1, week 2, week 3
(E) week 1, week 3, week 5.
17. Which one of the following could be true?
(A) Juarez evaluates F during week 6
(B) Juarez evaluates Z during week 1
(C) Rosenberg evaluates F during week 3.
(D) Rosenberg evaluates H during week 2.
(E) Rosenberg evaluates X during week 5
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