Q. The last Sunday of July, 2018 fell on which date?

The correct answer is (C) Either Statement (i) or Statement (ii) is sufficient

Explanation:

Statement (i): The first Sunday of that month fell on the 5th.

– Given: First Sunday is July 5th.
– Calculations:
– Sundays in July 2018: 5th, 12th, 19th, 26th.
– Since July has 31 days, the next Sunday after the 26th would be August 2nd, which is outside July.
– Conclusion: The last Sunday of July 2018 is July 26th.

Statement (i) alone is sufficient to determine the date of the last Sunday.

Statement (ii): The last day of that month was Friday.

– Given: July 31st is a Friday.
– Determining the day of the week for July 1st:
– July has 31 days.
– If July 31st is Friday, then:
– July 31: Friday
– July 30: Thursday
– July 29: Wednesday
– …
– July 1: Wednesday (since 31 – 30 = 1; 30 days before July 31st is July 1st)
– Calculating Sundays:
– Since July 1st is a Wednesday, the first Sunday falls on July 5th.
– Sundays in July 2018: 5th, 12th, 19th, 26th.
– Conclusion: The last Sunday of July 2018 is July 26th.

Statement (ii) alone is also sufficient to determine the date of the last Sunday.

Combined Conclusion:

– Both statements individually lead us to conclude that the last Sunday of July 2018 was July 26th.
– Therefore, either statement alone is sufficient to answer the question.

Correct Answer: (C) Either Statement (i) or Statement (ii) is sufficient