(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.
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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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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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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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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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.
Plays C cannot definitely be staged on which of the following days in addition to Tuesday ?
Answer: C
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 |
C cannot be staged on Friday as well because D has to be staged on that day.
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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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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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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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Which of the following is the schedule of plays, with the order of their staging from Monday ?
Answer: E
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, order of staging of plays in F, B, A, E, D, C.
So, the answer is (e).
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There are five friends --- Sachin, Kunal, Mohit, Anuj and Rohan.
Sachin is shorter than Kunal but taller than Rohan.
Mohit is the tallest.
Anuj is a little shorter than Kunal and little taller than Sachin.
Who is the shortest ?
Answer: A
Let us denote the five boys by the first letter of their names, namely S, K, M A and R.
Then,
R < S < K < M and S < A < K.
R < S < A < K < M.
Rohan is shortest. So, the answer is (a).
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