At an Electronic Data Processing Unit, five out of the eight program sets P, Q, R, S, T, U, V and W are to be operated daily. On any one day, except for the first day of a month, only three of the program sets must be the ones that were operated on the previous day. The program operating must also satisfy the following conditions :
(i). If program P is to be operated on a day, V cannot be operated on that day.
(ii). If Q is to be operated on a day, T must be one of the programs to be operated after Q.
(iii). If R is to be operated on a day, V must be one of the programs to be operated after R.
(iv). The last program to be operated on any day must be either S or U.
If the program sets operated on a day is P, Q, W, T, U, each of the following could be the next day's progam set except :.
Answer: B
It is given that on any one day, only three of the program sets must be the ones that were operated on the previous day.
But, (b) contains four programs out of those operated on the first day. So, it is the wrong combination.
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Eight students A, B, C, D, E, F, G and H are planning to enjoy car racing. There are only two cars and following are the conditions :
(i). One car can accommodate maximum five and minimum four students.
(ii). A will sit in the same car in which D is sitting but H is not in the same car.
(iii). B and C can't sit in the same car in which D is sitting.
(iv). F will sit in the car of four people only alongwith A and E but certainly not with G.
If H and G are sitting in the same car, who are other two students sitting in the same car ?
Answer: A
Consider two cars I and II.
A and D sit in the same car, say I.
H is not in the same car i.e. H is in car II.
B and C are not in the same car in which D is sitting i.e. B and C are in car II.
F sits along with A and E in the same car i.e. car I.
G is in the other car i.e. car II.
Thus, we have :
Car I → A, D, E, F
Car II → B, C, G, H
B and C are sitting in the same car in which G and H are sitting.
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If E and A are sitting in the same car, which of the following statements is true ?
Answer: D
Consider two cars I and II.
A and D sit in the same car, say I.
H is not in the same car i.e. H is in car II.
B and C are not in the same car in which D is sitting i.e. B and C are in car II.
F sits along with A and E in the same car i.e. car I.
G is in the other car i.e. car II.
Thus, we have :
Car I → A, D, E, F
Car II → B, C, G, H
Clearly, G is not sitting in the car in which A and E are sitting.
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Which of the following statements is superfluous for the above sitting arrangements ?
Answer: A
Consider two cars I and II.
A and D sit in the same car, say I.
H is not in the same car i.e. H is in car II.
B and C are not in the same car in which D is sitting i.e. B and C are in car II.
F sits along with A and E in the same car i.e. car I.
G is in the other car i.e. car II.
Thus, we have :
Car I → A, D, E, F
Car II → B, C, G, H
Clearly, Statement (i) is not necessary.
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From amongst five doctors A, B, C, D and E, four engineers G, H, K and L and six teachers M, N, O, P, Q and R, some teams are to be selected. Of these, A, B, G, H, O, P and Q are females and the rest are males.
The formation of teams is subject to the following conditions :
Wherever there is a male doctor, there will be no female teacher.
Wherever there is a male engineer, there will be no female doctor.
There shall not be more than two male teachers in any team.
If the team consists of two doctors, three females teachers and two engineers, the members of the team are :
Answer: A
The docotors are A, B, C, D and E; female teachers are O, P and Q; engineers are G, H, K and L. The three female teachers to be selected are O, P and Q.
Now, where there is a male doctor, there will be no female teacher. But three female teachers are selecred. So, C, D and E cannot be selected. Thus, two doctors selected are A and B.
Since female doctors are selected, so male engineers Kand L cannot be selected.
Hence, the team formed is A B O P Q G H
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If the team consists of two doctors, one engineer and four teachers, all the following teams are possible except :
Answer: D
The doctors are A, B, C, D and E; engineers are G, H, K and L; teachers are M, N, O, P, Q and R. Four teachers are needed. There are three male teachers. So, female teachers are also to be selected. So, male doctors i.e. C, D and E cannot be selected. Thus, the two docotors selected will be A and B.
Both the doctors selected are females. So, male engineer K or L cannot be selected and either G or H is to be chosen.
Clearly, the impossible team is A B K N R P Q, because K is not to be selected.
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If the team consists of two doctors, female teachers and two engineers, all the following teams are possible except :
Answer: B
The doctors are A, B, C, D and E; female teachers are O, P and Q; engineers are G, H, K and L. Since two female teachers are to be selected, so male doctors i.e. C, D and E cannot be selected, Thus, the two docotors selected will be A and B. Both the doctors are females. So, male engineer k or L cannot be selected and G and H are to be chosen.
Clearly, the only impossible team is A B K L P Q
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If the team consists of three doctors, two male engineers and two teachers, the members of the team could be :
Answer: C
The doctors are A, B, C, D and E; male engineers are K and L; teachers are M, N, O, P, Q and R. Clearly, the two male engineersto be selected are K and L.
Since male engineers are selected, so female doctors i.e. A and B cannot be selected.
Thus, three doctors to be selected are C, D and E. The doctors selected are all males. So, female teachers O, P and Q cannot be selected. Thus, two teachers out of M, N and R are to be selected.
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If the team consists of two doctors, two engineers and two teachers, all the following teams are possible except :
Answer: D
Since no particular specifications are given, so we shall verify the correctness of the suggested teams separately. Clearly, C D K L O P is incorrect because C and D are male doctors and so cannot go with female teachers o and P.
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A sales representative plans to visit each of six companies M, N, P, Q, R and S exactly once during the course of one day. She is setting up her schedule for the day according to the following conditions :
(i). She must visit M before N and R.
(ii). She must visit N before Q.
(iii). The third company she visits must be P.
If the sales representative visits S first, which company must she visit second ?
Answer: A
Correct answer: M
P is fixed at the third place and S is given the first, so M, N, Q and R fill positions two, four, five and six. M must come before both N and R, and N before Q - that is three companies which must follow M. Only the second place leaves three positions after it, so M must be visited second.
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