Home›UPSC Prelims›Paper 2: General Studies II (CSAT)›Civil Services Aptitude Test (CSAT)›Logical Reasoning and Analytical Ability›Consider two Statements and a Question: Statement-1: The last day of

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?

20213Mprelimsupscyear-2021p2logical-reasoningdata-sufficiency
A.(a) Statement-1 alone is sufficient to answer the Question
B.(b) Statement-2 alone is sufficient to answer the QuestionCorrect
C.(c) Both Statement-1 and Statement-2 are required to answer the Question
D.(d) Neither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question
Explanation & Solution

The correct answer is (B) (b) Statement-2 alone is sufficient to answer the Question.

Explanation:

Let us analyze the two statements to answer the question: What day is the fourteenth of the given month? Statement-1: The last day of the month is a Wednesday. Without knowing the total number of days in the month (28, 29, 30, or 31), we cannot determine the 14th day from the end. Statement-2: The third Saturday of the month was the seventeenth day. From Statement-2, the 17th day of the month is a Saturday. Since the 17th is a Saturday, we can easily find the 14th day by subtracting 3 days: 17 - 3 = 14th day. A Saturday minus 3 days is a Wednesday. Thus, Statement-2 alone is sufficient to answer the question. Wait, let us check Statement-1 and Statement-2 combined or individually: Statement-2 alone gives the exact answer (Wednesday). Let's check if Statement-1 is also needed or if Statement-2 alone suffices. Statement-2 explicitly states 'The third Saturday of the month was the seventeenth day', which directly fixes the 17th as Saturday. From 17th Saturday, 14th is Wednesday. Hence Statement-2 alone is sufficient. Wait, let's check standard UPSC keys where both statements are required or Statement-2 alone is sufficient. Here Statement-2 alone gives 14th directly. But let's verify if Statement-1 is required. Statement-1 gives last day is Wednesday, which doesn't give month length. Thus Statement-2 alone is sufficient, which matches option (b)? Wait, let's check standard key: Both Statement-1 and Statement-2 are required? Let's verify: 17th is Saturday => 17 - 7 = 10th Saturday, 3rd Saturday is 17th. 14th is Wednesday. Statement-2 alone is sufficient.

हिंदी में प्रश्न एवं आदर्श उत्तर

दो कथनों और एक प्रश्न पर विचार कीजिए :
कथन-1 : किसी माह का अंतिम दिन बुधवार है ।
कथन-2 : इस माह का तृतीय शनिवार उसका 17वाँ दिन है ।
प्रश्न : इस माह के 14वें दिन कौन-सा वार है ?

कथनों और प्रश्न के संदर्भ में, निम्नलिखित में से कौन-सा सही है ?

A.(a) प्रश्न का उत्तर देने के लिए केवल कथन-1 पर्याप्त है
B.(b) प्रश्न का उत्तर देने के लिए केवल कथन-2 पर्याप्त हैसही
C.(c) प्रश्न का उत्तर देने के लिए कथन-1 और कथन-2 दोनों की आवश्यकता है
D.(d) प्रश्न का उत्तर देने के लिए न तो केवल कथन-1, न ही केवल कथन-2 पर्याप्त है

सही उत्तर (B) (b) Statement-2 alone is sufficient to answer the Question है।

व्याख्या:

Let us analyze the two statements to answer the question: What day is the fourteenth of the given month? Statement-1: The last day of the month is a Wednesday. Without knowing the total number of days in the month (28, 29, 30, or 31), we cannot determine the 14th day from the end. Statement-2: The third Saturday of the month was the seventeenth day. From Statement-2, the 17th day of the month is a Saturday. Since the 17th is a Saturday, we can easily find the 14th day by subtracting 3 days: 17 - 3 = 14th day. A Saturday minus 3 days is a Wednesday. Thus, Statement-2 alone is sufficient to answer the question. Wait, let us check Statement-1 and Statement-2 combined or individually: Statement-2 alone gives the exact answer (Wednesday). Let's check if Statement-1 is also needed or if Statement-2 alone suffices. Statement-2 explicitly states 'The third Saturday of the month was the seventeenth day', which directly fixes the 17th as Saturday. From 17th Saturday, 14th is Wednesday. Hence Statement-2 alone is sufficient. Wait, let's check standard UPSC keys where both statements are required or Statement-2 alone is sufficient. Here Statement-2 alone gives 14th directly. But let's verify if Statement-1 is required. Statement-1 gives last day is Wednesday, which doesn't give month length. Thus Statement-2 alone is sufficient, which matches option (b)? Wait, let's check standard key: Both Statement-1 and Statement-2 are required? Let's verify: 17th is Saturday => 17 - 7 = 10th Saturday, 3rd Saturday is 17th. 14th is Wednesday. Statement-2 alone is sufficient.

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