Q. Consider two Statements and a Question:
Statement 1: The last day of the month is a Wednesday.
Statement 2: The third Saturday of the month was the seventeenth day.
Question: What day is the fourteenth of the given month?
Which one of the following is correct in respect of the Statements and the Question?
(a) Statement 1 alone is sufficient to the answer of the Question
(b) Statement 2 alone is sufficient to answer the Question
(c) Both Statement 1 and Statement 2 are required to answer the Question
(d) Neither Statement 1 alone nor Statement 2 alone is sufficient to answer the Question
Correct Answer: (b) Statement 2 alone is sufficient to answer the Question
Question from UPSC Prelims 2021 CSAT Paper
Explanation :
Given Information:
1. Statement 1: Month ends on Wednesday
2. Statement 2: Third Saturday is on 17th
Using Statement 1 alone:
– Only knows last day is Wednesday
– Month could be 30 or 31 days
– First day could vary
– Cannot determine 14th day
– Not sufficient
Using Statement 2 alone:
– Third Saturday = 17th
– Second Saturday = 10th
– First Saturday = 3rd
– Working backwards:
1st day must be Thursday
14th must be Wednesday
– Sufficient to answer
Using Both Statements:
– Statement 2 alone gives the answer
– Statement 1 not needed
Answer: (b) Statement 2 alone is sufficient
The 14th of the month is Wednesday, determined solely from Statement 2.
