Data Sufficiency Calendar Problem

The conceptual knowledge and skills required to solve Data Sufficiency problems are far easier than that required to solve standard Problem Solving questions. Fundamental knowledge of the principles of arithmetic, algebra and geometry is sufficient. The data sufficiency questions are designed to test our reasoning and logical ability, more than the mathematical skills.

A Calendar is a chart or series of pages showing the days, weeks and months of a particular year, or giving particular seasonal information.

Direction : Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Read both the statements and give answer(a) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question;(b) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question;(c) if the data either in statement I alone or in statement II alone are sufficient to answer the question;(d) if the data given in both statements I and II together are not sufficient to answer the question; and(e) if the data in both statements I and II together are necessary to answer the question

Question 1: On which date in August was Kapil born ?

I. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.

II. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

Answer (e) : if the data in both statements I and II together are necessary to answer the question

From I, we conclude that Kapil was born on any one of the dates among 16th, 17th and 18th.

From II, we conclude that Kapil was born on any one of the dates among 13th, 14th, 15th and 16th.

Thus, from both I and II, we conclude that Kapil was born on 16th August.

Question 2: The last Sunday of March, 2006 fell on which date ?

I. The first Sunday of that month fell on 15th.

II. The last day of that month fell on 5th.

Answer : (c) if the data either in statement I alone or in statement II alone are sufficient to answer the question;

From I, we conclude that 5th, 12th, 19th and 26th of March, 2006 were Sundays. So, the last Sunday fell on 26th.

From II, we conclude that 31th March, 2006 was Friday. Thus, 26th March, 2006 was the last Sunday of the month.

Sample Questions

(More Questions for each concept available in Login)

Question : 1

Direction : - Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement: are sufficient to answer the question. Read both the statements carefully Question : - Can Ritesh retire from office X in January 2006, with full pension benefits ? I. Ritesh will complete 30 years of service in office X in April 2000 and desires to retire. II. As per office X rules, an employee has to complete minimum 30 years of service and attain age of 60. Ritesh has 3 years to complete age of 60.
A. if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. if the data either in statement I alone or in statement II alone are sufficient to answer the question.
D. if the data in both statements I and II together are necessary to answer the question.
Right Option : D
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Question : 2

Direction : - Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement: are sufficient to answer the question. Question : - On which day of the week was birthday of Sahil ? I. Sahil celebrated his birthday the very next day on which Arun celebrated his birthday. II. The sister of Sahil was born on the third day of the week and two days after Sahil Was born.
A. if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. if the data either in statement I alone or in statement II alone are sufficient to answer the question.
D. if the data given in both statements I and II together are not sufficient to answer the question.
Right Option : B
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Question : 3

Direction : - Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement: are sufficient to answer the question. Question : - On which date of the month was Anjali born in February 2004 ? I. Anjali was born on an even date of the month. II. Anjali's birth date was a prime number.
A. if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. if the data in both statements I and II together are necessary to answer the question.
D. if the data either in statement I alone or in statement II alone are sufficient to answer the question.
Right Option : C
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