A question is given, followed by two statements labelled I and II. Identify…
2022
A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question.
Question:
On which day of the week was Fahad born?
Statements:
I. Fahad is older than Chand by 10 years.
II. Chand was born on Friday in 1998.
Answer: D. Data in both the statements are not sufficient to answer the question — ConceptIn data sufficiency, information is sufficient only when it forces one unique answer. A relative fact becomes useful for a calendar question only when…
- A.
Data in statement I alone are sufficient to answer the question, while data in statement II alone are not sufficient to answer the question
- B.
Data in statement II alone are sufficient to answer the question, while data in statement I alone are not sufficient to answer the question
- C.
Either data in statement I alone or in statement II alone are sufficient to answer the question
- D.
Data in both the statements are not sufficient to answer the question
Attempted by 127 students.
Show answer & explanation
Correct answer: D
Concept
In data sufficiency, information is sufficient only when it forces one unique answer. A relative fact becomes useful for a calendar question only when the relationship and the necessary date information connect the people without an unstated assumption.
Application
Statement I gives only a 10-year age difference. With no date, year, or weekday anchor, it cannot determine Fahad’s weekday by itself.
Statement II gives Chand’s birth year and weekday, but it provides no relationship that transfers that weekday to Fahad. It therefore cannot determine Fahad’s weekday by itself.
Together, the statements give the age gap and Chand’s year and weekday, but they do not give either person’s exact month and date or state that their birthdays fall on the same calendar date. Even under the stronger assumption of corresponding dates ten calendar years apart, the weekday shift depends on which leap days lie between those dates, so several weekdays remain possible.
Cross-check
Choose two different possible month-and-day pairs consistent with the statements. The number of intervening leap days can differ, producing different weekdays for Fahad while both statements remain true. Hence no unique weekday follows.
Result
The data in both statements are not sufficient to answer the question.