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43.
During a four-week period, each one of seven previously unadvertised products – G, H, J, K, L, M and O – will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. None of the other products gets repeated in any pair. Further, the following constraints must be observed:
1). J is not advertised during a given week unless H is advertised during the immediately preceding week.
2). The product that is advertised twice is advertised during week 4 but is not advertised during week 3.
3). G is not advertised during a given week unless either J or O is also advertised that week.
4). K is advertised during one of the first two weeks.
5). O is one of the products advertised during week 3.
[1] Which one of the following could be the schedule of the advertisements?
(A) Week 1: G, J; week 2: K, L; week 3: O, M; week 4: H, L
(B) Week 1: H, K; week 2: J, G; week 3: O, L; week 4: M, K
(C) Week 1: H, K; week 2: J, M; week 3: O, L; week 4: G, M
(D) Week 1: H, L; week 2: J, M; week 3: O, G; week 4: K, L
(E) Week 1: K, M; week 2: H, J; week 3: O, G; week 4: L, M[2] If L is the product that is advertised during two of the weeks, which one of the following is a product that MUST be advertised during one of the weeks in which L is advertised?
(A) G
(B) H
(C) J
(D) K
(E) M[3] Which one of the following is a product that could be advertised in any of the four weeks?
(A) H
(B) J
(C) K
(D) L
(E) O[4] Which one of the following is a pair of products that could be advertised during the same week?
(A) G and H
(B) H and J
(C) H and O
(D) K and O
(E) M and Oasked in XAT
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44.
There are exactly ten stores and no other buildings on a straight street in Bistupur Market. On the northern side of the street, from West to East, are stores 1, 3, 5, 7, and 9; on the southern side of the street, also from West to East, are stores 2, 4, 6, 8, and 10. The stores on the northern side are located directly across the street from those on the southern side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colours: green, red, and yellow. The stores have been decorated with lights according to the following conditions:
1). No store is decorated with lights of the same colour as those of any store adjacent to it.
2). No store is decorated with lights of the same colour as those of the store directly across the street from it.
3). Yellow lights decorate exactly one store on each side of the street.
4). Red lights decorate store 4.
5). Yellow lights decorate store 5.
[1] Which one of the following could be an accurate list of the colours of the lights that decorate stores 2, 4, 6, 8 and 10, respectively?
(A) Green, red, green, red, green
(B) Green, red, green, yellow, red
(C) Green, red, yellow, red, green
(D) Yellow, green, red, green, red
(E) Yellow, red, green, red, yellow
[2] If green lights decorate store 7, then each of the following statements could be false EXCEPT:
(A) Green lights decorate store 2
(B) Green lights decorate store 10
(C) Red lights decorate store 8
(D) Red lights decorate store 9
(E) Yellow lights decorate store 2[3] Which one of the following statements MUST be true?
(A) Green lights decorate store 10
(B) Red lights decorate store 1
(C) Red lights decorate store 8
(D) Yellow lights decorate store 8
(E) Yellow lights decorate store 10[4] Suppose that yellow lights decorate exactly two stores on the south side of the street and exactly one store on the north side. If all other conditions remain the same, then which one of the following statements MUST be true?
(A) Green lights decorate store 1
(B) Red lights decorate store 7
(C) Red lights decorate store 10
(D) Yellow lights decorate store 8
(E) Yellow lights decorate store 2asked in XAT
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45.
Six square states having equal area in a country are located in North-South direction in two columns next to each other. States are located in the given order, State 1, State 3, and State 5 are on the western side and State 2, State 4, and State 6 are on the eastern side. Within the six states, there are exactly four medical institutes, two management institutes, and two technical institutes. These eight institutions are located as follows:
1). No institution is in more than one of the states.
2). None of the states contain more than one management institute, and none contains more than one technical institute.
3). None of the states contain both a management institute and a technical institute.
4). Each management institute is located in a state that contains at least one medical institute.
5). The technical institutes are located in two states that do not share a common boundary.
6). State 3 contains a technical institute and State 6 contains a management institute.
[1] Which one of the following could be true?
(A) State 1 contains exactly one technical institute
(B) State 1 contains exactly one medical institute
(C) State 2 contains exactly one management institute
(D) State 5 contains exactly one technical institute
(E) State 6 contains exactly one technical institute[2] A complete and accurate list of the states, any one of which could contain the management institute that is not in State 6, would be _____.
(A) 1, 4
(B) 2, 4
(C) 4, 5
(D) 1, 4, 5
(E) 1, 2, 4, 5[3] If each of the six states contains at least one of the eight institutions, then which one of the following must be true?
(A) There is a management institute in State 1
(B) There is a medical institute in State 2
(C) There is a medical institute in State 3
(D) There is a medical institute in State 4
(E) There is a management institute in State 4[4] If one of the states contains exactly two medical institutes and exactly one technical institute, then which combination of three states might contain no medical institute?
(A) 1, 3, 5
(B) 1, 4, 5
(C) 2, 3, 5
(D) 2, 4, 6
(E) 4, 5, 6asked in XAT
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46.