From amongst six days A, B, C, D, E, and F and five girls P, Q, R, S and T, a team of six is to be selected under the following coditions :
(i) A and D have to be together.
(ii) C cannot go with S.
(iii) S and T have to be together.
(iv) B cannot be teamed with E.
(v) D cannot go with P.
(vi) B and R have to be together.
(vii) C and Q have to be together.
If the team including C consists of four boys, the members of the team other than C are :
Answer: B
If team contains C, Q will be include. If another girl include is R, B will be there and hence E cannot be there.
A and D have to be together. So, they are also included and only F can be excluded. Thus, the team is C Q R B A D.
So, the answer is (b).
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If four members including E have to be boys, the members other than E are :
Answer: B
If E is included, B cannot be included. A and D have to be together. So, they are both included. Without B, R will not be there. With D, P cannot be there. So, two girls together can be only S and T. If S is there, C cannot be there. So the fourth boy can be F alone.
Thus, the team becomes E A D S T F. So, the answer is (b).
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If four members have to be girls, the members of the team are
Answer: B
n four girls, S and I are taken together. With S, C cannot be there. So, Q will not be there.
If P is included, D and hence A cannot be there.
If R is included, B will be there and hence E cannot be there.
So, only F can be there.
Thus, the team is S T P R B F. So, the answer is (b).
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(i) Eight doctors P, Q, R, S, T, U, V and W visit a charitable dispensary every day except on a holiday i.e. Monday.
(ii) Each doctor visits for one hour from Tuesday and Sunday except Saturday. The timings are 9 a.m. to 1 p.m. and 2 p.m. to 6 p.m.; 1 p.m. to 2 p.m. is lunch break.
(iii) On Saturday, it is open only in the morning i.e. 9 a.m. to 1 p.m. and each doctor visits for only half an hour.
(iv) No other doctor visits the dispensary before doctor Q and after doctor U.
(v) Doctor W comes immediately after lunch break and is followed by R.
(vi) S comes in the same order as P in the afternoon session.
Doctor P visits in between which of the following pairs of doctors ?
Answer: D
We first form the sequence of visit using (iv), (v) and (vi).
From (iv), we know that Q visits first and U visits last.
From (v), we know that W visits first after break and is followed by R.
From (vi), we know that P visits after break.
Thus, the sequence of visit after break becomes W R P U.
Also, S has the same position in morning session as P in afternoon session. So, sequence of visit before break is Q, T / V, S, V / T.
Clearly, P visits between R and U
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At what time the visit of doctor R is over on Sunday ?
Answer: C
We first form the sequence of visit using (iv), (v) and (vi).
From (iv), we know that Q visits first and U visits last.
From (v), we know that W visits first after break and is followed by R.
From (vi), we know that P visits after break.
Thus, the sequence of visit after break becomes W R P U.
Also, S has the same position in morning session as P in afternoon session. So, sequence of visit before break is Q, T / V, S, V / T.
The time of visit of W is 2 p.m. to 3 p.m., that of doctor R is 3 p.m. to 4 p.m.
So, the visit of doctor R is over at 4 p.m.
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At what time the visit of Doctor T whould be over on Saturday ?
Answer: C
We first form the sequence of visit using (iv), (v) and (vi).
From (iv), we know that Q visits first and U visits last.
From (v), we know that W visits first after break and is followed by R.
From (vi), we know that P visits after break.
Thus, the sequence of visit after break becomes W R P U.
Also, S has the same position in morning session as P in afternoon session. So, sequence of visit before break is Q, T / V, S, V / T.
Clearly, T visits either second or fourth. So, the time of visit on Saturday will be either 9.30 a.m. or 10.30 a.m.
Thus, T's visit will be over at either 10 a.m. or 11 a.m.
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If the lunch break and subsequent visiting hours are reduced by 15 minutes, at what time Doctor U is excpected to attend the dispensary ?
Answer: B
We first form the sequence of visit using (iv), (v) and (vi).
From (iv), we know that Q visits first and U visits last.
From (v), we know that W visits first after break and is followed by R.
From (vi), we know that P visits after break.
Thus, the sequence of visit after break becomes W R P U.
Also, S has the same position in morning session as P in afternoon session. So, sequence of visit before break is Q, T / V, S, V / T.
Clearly, as mentioned, lunch break will be over and doctor W will visit at 1.45 p.m., doctor R will visit at 2.30 p.m., doctor P will visit at 3.15 p.m. and U will visit at 4 p.m.
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Six plays -- A, B, C, D, E and F are to be staged, one on each day from Monday to Saturday. The schedule of the plays is to be in accordance with the following :
(i) A must be staged a day before E.
(ii) C must not be staged on Tuesday.
(iii) B must be staged on the day following the day on which F is staged.
(iv) D must be staged on Friday only and should not be immediately preceded by B.
(v) E must not be staged on the last day of the schedule.
Which of the following plays immediately follows B ?
Answer: A
Clearly, D must be staged on Friday. A must be staged before E i.e., order AE must be followed. But E cannot be staged on last day. Also, B must be staged immediately after F i.e., order FB must be followed. But B cannot precede D. So, F and B can be staged on Monday and Tuesday and A and E on Wednesday and Thursday. C, which cannot be staged on Tuesday shall be staged on Saturday. Thus, the order followed will be :
|
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
|
F |
B |
A |
E |
D |
C |
Clearly, A immediately follows B.
So, the answer is (a).
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Which of the following plays in on Monday ?
Answer: B
Clearly, D must be staged on Friday. A must be staged before E i.e., order AE must be followed. But E cannot be staged on last day. Also, B must be staged immediately after F i.e., order FB must be followed. But B cannot precede D. So, F and B can be staged on Monday and Tuesday and A and E on Wednesday and Thursday. C, which cannot be staged on Tuesday shall be staged on Saturday. Thus, the order followed will be :
|
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
|
F |
B |
A |
E |
D |
C |
F will be played on Monday.
So, the answer is (b).
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Play D is between which of the following pairs of plays ?
Answer: D
Clearly, D must be staged on Friday. A must be staged before E i.e., order AE must be followed. But E cannot be staged on last day. Also, B must be staged immediately after F i.e., order FB must be followed. But B cannot precede D. So, F and B can be staged on Monday and Tuesday and A and E on Wednesday and Thursday. C, which cannot be staged on Tuesday shall be staged on Saturday. Thus, the order followed will be :
|
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
|
F |
B |
A |
E |
D |
C |
Play D is between E and C.
So, the answer is (d).
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