Select the correct alternative from the given choices....

Select the correct alternative from the given choices. Pankaj met his friend three days ago. He told his friend that he has his last exam five days later. He met his friend again, three days after the last exam. Six days after he met his friend after the last exam, they left for a vacation. The day on which they left for a vacation is a Saturday. What is today? (A) Saturday (B) Tuesday (C) Sunday (D) Cannot be determined

Select the correct alternative from the given choices.
Pankaj met his friend three days ago. He told his friend that he has his last exam five days later. He met his friend again, three days after the last exam. Six days after he met his friend after the last exam, they left for a vacation. The day on which they left for a vacation is a Saturday. What is today?
(A) Saturday
(B) Tuesday
(C) Sunday
(D) Cannot be determined

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Key Concepts

Modular Arithmetic in Days of the Week

Days of the week repeat in a cycle of seven, so when a certain number of days is added to or subtracted from a specific day, modular arithmetic is used to calculate the resulting day. The idea is to reduce the number of days by using modulo 7, which simplifies finding the day of the week after an interval has elapsed.

Timeline Reasoning

This concept involves setting up a chronological sequence of events based on given time intervals. By assigning a reference point (such as 'today') and then adding or subtracting days according to the problem's information, one can construct a timeline that connects all events. This method is crucial in problems that require tracking events over several days to deduce a specific day or time.

Event Sequencing

Event sequencing refers to the logical ordering of events based on the information provided. By identifying the order in which events happen and associating each with a relative time interval, one can determine the relationships among the events. This organized approach is essential to correctly navigate through multi-step problems and arrive at the accurate conclusion.

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