Time-35 minutes
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23 Questions 3 t2 Z f2 k9 s% F
Questoins 1-6
/ G( b$ d' X9 c8 ?! H1 H sA man buys three outfits-X, Y, and Z-each of which consists of two articles
6 w5 a- ^) }' ~$ p7 \of clothing. / E( {3 Q3 e8 ? q) l9 e
Each of the articles of clothing is either brown gray or navy. 2 m+ U# W4 X- H: {. H2 Q
At least one of the outfits is made up of two articles different in color % j* y. H* u7 D
from one another.
7 C) a8 ]; |2 M% ]) I6 Y3 xNo more than two of the outfits contain the same combination of colors. 0 _! W% ]( T6 C3 C
Outfit X contains at least one navy article of clothing. 9 U( S9 m0 q$ Z. \. Y
Outfit X contains at least one brown article of clothing and does not , X8 [* X6 X+ F# |; I6 z K
contain a gray article. # z1 z6 N, z/ D% H3 _$ E" }
1. Which one of the following can be the colors of the man’s outfits? 0 n1 q% Z: z# A2 k/ z4 j
(A) X: gray and navy; Y: brown and gray; Z: gray and gray
( M8 j6 ]& K& z) N. c: |(B) X: brown and gray; Y: brown and navy; Z: gray and gray
; b0 w% k8 V" r$ i6 b. X(C) X: navy and navy; Y: brown and brown; Z: brown and navy ) q. i4 ]7 j9 j7 `9 H# H
(D) X: brown and navy; Y: brown and navy; Z: brown and navy $ f; q8 r$ Z. t3 l4 s6 T1 A# r _. i
(E) X: navy and navy; Y: brown and brown; Z: navy and navy ( L3 {3 ?- o5 q) B7 F7 ~+ t- N z
2. If outfits X and Y each consist of one brown article and one navy article
' x. X G5 c" uof clothing, what combinations for outfit Z? ! h; t0 [" W. w) Y
(A) 2 , p) m2 D; m/ W- e
(B) 3 3 K% Z$ L; k& j& C8 j1 t+ N
(C) 4 0 t9 B' l4 n2 K2 V
(D) 5
$ E. K5 s6 n7 Y' u' S0 Z(E) 6
$ c5 Y9 _+ z, t5 R3. If outfit Z does not contain two brown items of clothing, what is the . Y Y- p% g$ n5 y! E U$ ^
maximum number of items of clothing in the three outfits that can be navy?
2 k1 m4 k o6 a+ o& l(A) 1 . n' J, }' w4 J# O) u% j/ o# |
(B) 2 9 ?! |# Z, V7 M) B d
(C) 3 / ?; d; n4 I+ M' c
(D) 4
) \ k0 T5 M/ A(E) 5
$ U( ]+ m+ i- q4. If outfit Y consists of two brown articles of clothing and outfit Z consists 0 p& U7 M4 I: V; x5 `
of two navy items, what is the total number of possible color combinations for ) L& _1 [" C4 g8 ~9 X6 t6 k* A+ I! _
outfit X?
; b/ E- \( a: C9 ^# n j(A) 1
, _3 [/ z5 z% s+ T(B) 2 6 w5 B$ |0 D0 D
(C) 3
8 r1 @( a7 ]; m7 L7 N9 a$ @$ b) m, |- W(D) 4
6 P! v5 v; p! [(E) 5 ) v# d6 \1 R7 B
5. Which one of the following color combinations for outfit Z would be ! }) K( M- g4 G' r3 c3 s" W
acceptable under any of the acceptable color combinations for outfits X and Y? 9 U$ H) N6 Z, A6 c
(A) gray and gray
7 ]# T* s0 L, h7 T+ [% d) b(B) brown and gray & w5 `( Z% O# W
(C) brown and brown P2 ^2 C E0 W9 T( g
(D) brown and navy 1 h9 _- F. @& p& Q
(E) navy and navy # j$ k' m7 Y+ M* L2 e
6. If no two outfits contain the same color combination but each contains at 8 Y# o( @$ T Y5 f+ ~9 I
least one navy item, which one of the following is a complete and accurate
. f+ x3 D; m n6 O8 `! Tlist of the possible combinations for outfit X?
) l9 X9 R) G+ j(A) gray and navy ! _, @3 ]$ z- @
(B) brown and navy , G! |6 d- b0 @8 l9 J2 ]
(C) navy and navy 0 D. x/ x. d; H3 C9 C: Y* c! k$ \
(D) gray and navy; brown and navy
/ W0 _, X/ ^" T" `6 y(E) gray and navy; navy and navy 7 p% ^. a& F, t0 P& N7 r
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Question 7-11
. F0 |& {& ?! q- N+ @$ M, LFive seats on a train are arranged in two rows that face each other. The
, W$ A! G/ ]" r pseats in row 1 are seat 1 and seat 2. The s " R, m+ Y% C' M, |
eats in row 2 are seat 3, seat 4,
* ?& [! Q6 R2 P( Land seat 5 in that order. Seat 1 is directly across from seat 3. Seat 2 is
; b; N6 j7 J5 Wdirectly across from seat 4. Seat 5 is not directly across from any other seat.
! @9 K& u9 d8 h- DThree women-, Betty, and Carol-and two men-David Edmund-each must be seated in
3 R3 S2 m4 Z2 `& kone of me five seats, one person to a seat.
6 n0 K" K* o: `3 b: PBetty sits in seat 4.
& ?5 N# O* O* L: ]; D3 GCarol sits next to neither Betty nor David.
! {/ m% J1 S" L2 S2 L) [- I& d, hAlice does not sit directly across from Carol.
p& `: D5 u( }' u: @7. If Edmund sits directly across from Betty, which one of the following must $ O3 w. ^5 e. b& ~& ~2 e1 M1 R
be true? ' L9 l& `7 J1 z' y" u5 x+ o' M# t
(A) Alice does not sit directly across from anyone. / m0 m( k' V; G0 K Q. y
(B) Alice sits directly across from David.
. @" W7 a8 ]+ ` d% Z! h(C) Alice sits next to Edmund.
2 k) k. ~3 D7 ~(D) David sits next to Alice.
. {% d; u+ _" o7 J9 I/ R(E) David sits next to Edmund.
6 z b5 P$ o5 j- S" M" B. |8. If Edmund does not sit directly across from anyone, which one of the + E8 w4 S; j& c1 w( Z, y# T& G9 y
following is a complete and accurate list of those (other than Edmund) who , M( [0 i+ L/ K% O
cannot sit in seat 1? ( W/ Y& P3 Z& m. s" R
(A) Betty
( `7 _8 i3 w; B- J$ @0 K9 L0 [(B) Carol ' u, x+ H/ Z2 b% [# d+ j
(C) David + ^* O/ @$ w+ x q0 t8 t# U8 F
(D) Betty and Carol ( B4 K) F, D3 L2 G* H
(E) Betty and David
; {3 M7 T) U& D) x" E, @2 g% f: |9. If none of the five passengers sits directly across from a passenger of the
+ p' ?" h4 t. r( j8 C4 @# Vsame sex, how many seating arrangements of the five passengers are possible?
4 y$ f& | d9 w(A) exactly 0 ' o6 t! P* k2 {& J
(B) exactly 1
1 j' m9 A0 Z0 p8 h, K' M(C) exactly 2
+ P( G2 z3 B* V! Q(D) exactly 3
6 f+ u$ I; }; P" t(E) exactly 4 2 y5 c+ v+ T8 w. `% C
10. How many of the seats could be the one Alice selects as her seat? 1 B, F7 d5 E. X8 ^. R" G
(A) 1 only
7 K8 f O6 F5 S( @+ H(B) 2 only
5 M& T' V8 r0 X(C) 3 only
0 T% g* |/ O* s2 q8 @" p( l(D) 4 only
, N( s& V1 F1 E7 e(E) 5 only ) }. b7 T* h+ B* J/ v: G
11. How many different seating arrangements of the passengers might there be
- b* b# c. V( H3 s. U& v9 Kfor row 2? - w" Y+ i1 h/ V: g& M
(A) 2
5 V( g G* ~; }! I% ^0 K(B) 3 . [5 u3 }$ u0 J# ~) d+ J( h
(C) 4 , `4 G. w' U) m0 {
(D) 5 5 k& c& J$ L' G8 o% z( g
(E) 6 |