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Question 1 / 5
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1
Identify the specific date when the Chairman visited the Purchase department, given his weekly visiting rules and information about other visits.
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Solution: Step 1: Understand the general rule: The Chairman visits a department every Monday, except for the Monday of the third week of every month. Step 2: Analyze Statement I. 'He visited Accounts department in the second week of September after having visited Purchase department on the earlier occasion.' This means the Accounts department visit was on a Monday in the second week of September. The Purchase department visit was an 'earlier occasion' Monday. Given the 'every Monday except third week' rule, the Monday immediately preceding the second Monday would be the first Monday of September. (Assuming the first Monday isn't already the third Monday of the month, which is a safe assumption for 'first week'). Therefore, the Purchase department was visited on the first Monday of September. Statement I alone is sufficient. Step 3: Analyze Statement II. 'He had visited Purchase department immediately after visiting Stores department but before visiting Accounts department.' This gives a sequence: Stores -> Purchase -> Accounts. This statement provides relative order but no specific dates or months. Statement II alone is insufficient. Step 4: Conclude. Statement I alone is sufficient to determine when the Chairman visited the Purchase department.
2
At 8:00 p.m., determine the time Hemant can catch the next bus for Ramnagar from Dhanpur, using the given statements.
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Solution: The current time is 8:00 p.m. Step 1: Analyze Statement I. 'Buses for Ramnagar leave after every 30 minutes, till 10 p.m.' This gives the frequency and the last departure time but not the time of the previous bus. Statement I alone is insufficient. Step 2: Analyze Statement II. 'Fifteen minutes ago, one bus has left for Ramnagar.' Fifteen minutes ago from 8:00 p.m. is 7:45 p.m. So, a bus left at 7:45 p.m. Statement II alone is insufficient as it doesn't give the frequency. Step 3: Combine Statement I and Statement II. From Statement II, a bus left at 7:45 p.m. From Statement I, buses leave every 30 minutes. Therefore, the next bus will depart 30 minutes after 7:45 p.m., which is 8:15 p.m. This is before 10 p.m., so it's a valid departure. Step 4: Conclude. Both Statement I and Statement II together are sufficient to determine when Hemant can get the next bus.
3
Identify which train Aman took to his office, given information about his usual schedule, train frequency, and missed trains.
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Solution: Step 1: Analyze Statement I. 'Aman missed his usual train of 10.25 a.m. A train comes in every 5 minutes.' This implies trains depart at 10:25, 10:30, 10:35, 10:40, etc. Since he missed 10:25 a.m., he could have taken 10:30 a.m. or later. Statement I alone is insufficient. Step 2: Analyze Statement II. 'Aman did not catch the 10.40 a.m. train or any train after that time.' This means he caught a train before 10:40 a.m. Statement II alone is insufficient as it doesn't specify earlier options or frequency. Step 3: Combine Statement I and Statement II. From Statement I, possible trains after 10:25 a.m. are 10:30 a.m., 10:35 a.m., 10:40 a.m., etc. From Statement II, he did not catch 10:40 a.m. or any later train. Combining these, Aman must have caught a train after 10:25 a.m. and before 10:40 a.m. The possible trains are 10:30 a.m. and 10:35 a.m. We cannot definitively determine which one he caught. Step 4: Conclude. Neither Statement I alone, Statement II alone, nor both statements together are sufficient to determine which train Aman caught.
4
Determine the specific day of the week Hitesh visited the zoo, based on the provided statements.
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Solution: Step 1: Analyze Statement I. 'Hitesh did not visit zoo either on Tuesday or on Thursday.' This leaves Monday, Wednesday, Friday, Saturday, or Sunday as possibilities. Statement I alone is insufficient. Step 2: Analyze Statement II. 'Hitesh visited zoo two days before his mother reached his house which was day after Monday.' 'His mother reached his house which was day after Monday' means his mother reached on Tuesday. 'Hitesh visited zoo two days before his mother reached his house' means Hitesh visited two days before Tuesday. Counting back: Monday (1 day before Tuesday), Sunday (2 days before Tuesday). Therefore, Hitesh visited the zoo on Sunday. Statement II alone is sufficient. Step 3: Conclude. Statement II alone is sufficient to determine the day Hitesh visited the zoo.
5
Four serials (A, B, C, and D) were screened on a TV channel on four consecutive days, one each day. On which day was serial C screened? Statement I: The first serial was screened on the 23rd, which was a Tuesday, and was immediately followed by serial D. Statement II: Serial A was not screened on the 25th, and one serial was screened between serials A and B.
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Solution: Step 1: Understand the premise. Four serials (A, B, C, D) screened on four consecutive days. Step 2: Analyze Statement I. 'The first serial was screened on 23rd, Tuesday, and was followed by serial D.' * Day 1: 23rd (Tuesday) - Ser1 * Day 2: 24th (Wednesday) - D * Day 3: 25th (Thursday) - Ser3 * Day 4: 26th (Friday) - Ser4 * This alone is insufficient as we don't know the other serials. Step 3: Analyze Statement II. 'Serial A was not screened on 25th and one serial was screened between serials A and B.' * This implies an A _ B or B _ A pattern. This alone is insufficient. Step 4: Combine Statement I and II. * From I, we have the dates and days: * 23rd (Tue) * 24th (Wed) - D * 25th (Thu) * 26th (Fri) * From II, 'one serial was screened between A and B'. This means A and B cannot be adjacent. Given D is on the 24th, A and B must occupy the 23rd and 25th slots (Day 1 and Day 3). * From II, 'Serial A was not screened on 25th'. Therefore, A must be screened on the 23rd. * If A is on the 23rd, then B must be on the 25th (to have one serial, D, between A and B). * Updated schedule: * 23rd (Tue): A * 24th (Wed): D * 25th (Thu): B * 26th (Fri): C (the only remaining serial and day) Step 5: Therefore, serial C was screened on 26th, Friday. Both statements together are necessary and sufficient.
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