Question 12-17 / x5 o% ~; a( z! @$ L
1 i/ a+ P: w' g# T6 }" u Six people-Julio, Kevin, May, Norma, Olivia, and Tamio-participate in a track meet. Two of them enter the marathon, two enter the relay, and two enter the sprint. , q+ t+ ]7 F b" i$ _% g# z; U
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Each participant enters only one event. ) L% X o( u& H/ o9 L6 U
+ H$ W6 @7 A: P; L5 Z If Kevin enters the marathon, then both Julio and
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0 n2 n7 Y" A& x+ ^; t1 ^ May enter the relay, and if both Julio and May enter the relay, then Kevin enters the marathon. & H* J: @8 t: t1 b
# x! [+ b1 b2 f If Norma does not enter the sprint, then Tamio enters the relay. # |" X! H4 V z$ J
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If Olivia enters the relay, then Julio does not enter the relay.
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- d2 b8 V: s& u, @9 y0 p Olivia and Tamio do not both enter the relay.
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12. If Kevin enters the marathon, then which one of the following cannot be true? * I0 C2 ]4 f3 ~( K
- i; a8 m, x$ m7 x1 t4 S (A) Julio enters the relay and Norma enters the sprint.
" ~4 v3 \- N1 k t (B) Olivia enters the marathon and Norma enters the sprint.
8 g* H8 [. u5 g6 k (C) Tamio enters the marathon and Olivia enters the sprint. " {% B/ F8 c+ W I6 a
(D) Tamio enters the relay and Olivia enters the sprint.
7 W) e8 F4 g1 l6 ?/ \ (E) Tamio enters the marathon and May enters the sprint.
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9 q0 s; u% H2 V6 l: |13. If Norma enters the marathon, then which one of the following cannot be true? 5 U' `% m' X: h" @) a8 l( b
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(A) Both Kevin and Olivia enter the sprint.
1 a# M) H* c2 S- g+ R# V% L (B) Kevin enters the relay and Olivia enters the sprint. 5 u( {+ g# k% w% \8 ]! _7 Z
(C) Kevin enters the marathon and May enters the relay.
! y0 W" b! S4 [9 \ (D) Julio enters the marathon and May enters the relay. ) x3 m6 Y, h5 l
(E) Julio enters the marathon and Kevin enters the relay.
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14. If both Kevin and Olivia enter the relay, then which one of the following must be true?
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(A) Julion and Tamio enter the marathon. - z3 O, k% J8 M# Q) R5 L8 b* Q
(B) May enters the marathon.
+ ~; S0 T* Y% |7 M (C) May enters the sprint. 7 q ]5 X1 s, K9 N0 |4 P
(D) Tamio enters the sprint.
1 Q5 U3 K* k6 c6 W (E) Norma enters the sprint. + v( `) c% R; K5 J/ Z
& W3 W ~5 a7 r2 v0 Z, a15. If both Julio and Kevin enter the same event, then which of the following can be true? 4 Q' _8 Y' J; N' p& H) x8 ~% a
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Ⅰ.Julio enters the relay. 7 R" R" Z" f8 ^& x* f
Ⅱ. May enters the marathon.
" c( ]! ^# g& C( c Ⅲ. Olivia enters the relay.
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; Z) m5 t% d7 p3 G) D (A) Ⅰonly
9 w! S9 W/ r% A. t, t, O (B) Ⅱ only
) q, N6 `8 ]! D (C) Ⅲ only
8 K3 c8 A6 Y& ^4 Z (D) Ⅰand Ⅱonly ! G; w- _$ P6 E- ?1 _
(E) Ⅰ,Ⅱ,and Ⅲ
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0 W2 k6 L' s% H2 X1 s( N* i: b3 V16. If Norma and Olivia each enter different events, then which one of the following cannot be true? 2 h8 i" J4 O! o8 |0 i
* v4 j7 L8 ~+ C3 L* b2 X (A) Kevin and Olivia enter the marathon. ) w" K6 K, d$ V% Z. {; S& P4 ]
(B) Julio and Norma enter the relay.
: U4 d' Q7 o. _% i$ w/ N& K (C) May and Olivia enter the relay. ; {3 U' O3 u, `2 i
(D) Norma and Tamio enter the relay. 3 H5 F* A$ m+ M" C: u# M
(E) Olivia enters the sprint and Tamio enters the relay.
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17. If both Julio and Kevin enter the relay, then which one of the following must be false? / ~. C }" G% e* L4 z+ J
: M, h' X0 B/ I; j (A) May and Norma enter the marathon.
5 E$ C, E! I. j& f- Y (B) May and Olivia enter the marathon.
3 ^. q9 L" S% I5 b( B; s! P (C) Norma and Tamio enter the sprint.
9 S4 Y( v0 `1 O* T: Y/ D (D) May and Norma enter the sprint. 0 ]* t' S8 Q# q- x; }5 K% \
(E) May enters the sprint and Tamio enters marathon. D. N0 }# E+ }6 b0 ?, O% l
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Questions 18-23 F) t5 I) T+ T6 _
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Seven lights-J, K, L, M, N, O, and P-have only two possible settings: on or off. They are arranged on a particular electric circuit as follows.
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8 {0 D0 c4 | s* z8 @ If K is on, L is off; if K is off, L is on.
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% a3 _/ {& g# R$ u) H4 V J and N cannot both be on.
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If M is off, either J or N is on; if either J or N is on, M is off. , p+ p: ]; S4 u$ P* Y
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If P is on, L is on. 9 G6 J% B' S: ] k6 O
1 v0 F& |5 U( p3 H% O# p! I If O is off, N is off; if O is on, N is on.
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2 S1 H3 E0 w4 B/ J# L3 @ Assume that the circuit is working as designed.
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& r0 N+ O& G" Z+ f; T: l3 ^! L18. Any of the following can be true EXCEPT:
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6 c# c+ S9 O0 |1 M2 I+ j (A) J and O are both off. % Z5 q [& i* X# ?
(B) K and N are both off.
& D. f4 J$ |+ b- k g' p6 h* h (C) K and P are both on. . }- y! M. H# w! J. W( O+ H' m" j
(D) L and M are both on. 6 G. H" X: L; p; `5 S0 z5 u7 ?
(E) N and O are both on. 0 v) _. b2 o; S
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19. If L and O are on, which one of the following must be true?
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" O- N3 A9 V( X& e2 r+ V, P (A) J is and K is off.
9 W; c. m# K/ T& H" U; w (B) J is off and N is on.
* e1 b: o9 n, T, s3 X (C) K is off and M is on.
1 |# d0 E- q' z* F1 z (D) K is off and P is on. 7 R9 h9 k4 R7 L1 o+ g( G1 T* c
(E) M is off and P is on.
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20. Which one of the following can be true?
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(A) Only J, K, and M are off.
' i& X9 g/ K6 ?) B4 n1 ^ (B) Only J, L, and M are off.
# d# s( @& n! X' x6 f( K. l4 { (C) Only K, M, and O are off.
9 l. p. `* f1 J- p' R (D) Only L, N, and O are off. # n. O# L' ~& {4 y3 I3 [% Y
(E) Only M, N, and O are off.
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21. If P is on, what is the maximum number of lights that can be off? _0 L& K8 c9 {7 g; v( W
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(A) 2 ( u$ C" Q2 `: [' p* E; c5 h
(B) 3 % Y2 q) J. ^2 ?+ q
(C) 4
M- _. k$ ]4 M( i( U* _( y. J (D) 5
7 ~% \" l/ V7 Q( Q (E) 6
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22. What is the minimum number of lights that must be on? 5 k2 N0 l# v N3 h( U8 e9 ^
6 ^5 Z. l) Q6 U& c* ^% n2 G3 Q+ D( D (A) 0 ) I" Q, j1 Z8 j
(B) 1 ! G+ t3 _( |, P8 W g
(C) 2
0 X7 y$ z7 }; I7 @2 @4 f (D) 3
1 X6 G& z* j( D (E) 4 6 d6 M2 y: q' b4 \1 ~8 l, H
23. If J is on, which one of the following could be a complete and accurate list of the remaining lights that are also on? 0 L5 L7 _2 ]1 H# k s' C
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(A) K, L, and M
: D. }# }5 P; A8 r& }4 W, s/ N (B) L, N, and P
* P! ]+ l% q. V' s( [" I( r (C) L, O, and P
0 c0 `, M" C) ~2 B R (D) M, N, and O 4 M3 q% X, c& b( O3 H0 z
(E) L and P |