English and Logical Reasoning Prep Guide
- Exam
- English and Logical Reasoning Prep Guide
- Subject
- Logical Reasoning
- Chapter
- Data Sufficiency
English and Logical Reasoning Prep Guide · Logical Reasoning · Data Sufficiency
Directions: Each of the following consists of a question and two...
Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
Six friends − Arun, Bani, Charu, Dina, Esha and Farah were born in different months of same year. The months are − January, April, June, October, November and December.
Who was born just before Arun?
Statement I : Esha and Charu were born in consecutive months. Arun was born in a month which has total number of days as even number. Neither Charu nor Esha was not born in the last.
Statement II : Arun was born just before Bani. Charu was born in a month which has total number of days as even number. Only two persons were born after Esha.
Options
- AIf the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
- BIf the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
- CIf the data either in statement I alone or in statement II alone is sufficient to answer the question.
- DIf the data in both statement I and II together are not sufficient to answer the question.
Correct answer
D.
If the data in both statement I and II together are not sufficient to answer the question.
Step-by-step solution
Six friends − Arun, Bani, Charu, Dina, Esha and Farah were born in different months of same year. The months are − January, April, June, October, November and December.
Who was born just before Arun?
Statement I:& Esha and Charu were born in consecutive months. Arun was born in a month which has total number of days as even number. Neither Charu nor Esha was not born in the last.
Statement II:& Arun was born just before Bani. Charu was born in a month which has total number of days as even number. Only two persons were born after Esha.
Checking statement I:
Position of Arun is is not clear.
Checking statement II:
We can have the following arrangement:
From three different cases we are getting three different positions.
Hence data in statement II alone is not sufficient.
Checking both statements I and II:
Either Dina or Farah was born just before Arun, but we are not getting one definite answer.
Hence data in both the statements together is not sufficient.
Hence option D is correct.
Who was born just before Arun?
Statement I:& Esha and Charu were born in consecutive months. Arun was born in a month which has total number of days as even number. Neither Charu nor Esha was not born in the last.
Statement II:& Arun was born just before Bani. Charu was born in a month which has total number of days as even number. Only two persons were born after Esha.
Checking statement I:
| Months | Persons |
| January | |
| April | Arun/ |
| June | Arun/ |
| October | Esha/Charu |
| November | Charu/Esha |
| December |
Position of Arun is is not clear.
Hence data in statement I alone is not sufficient.
Checking statement II:
We can have the following arrangement:
| Months | Case-1 | Case-2 | Case-3 |
| Persons | Persons | Persons | |
| January | Arun/ | Arun/ | |
| April | Bani/Arun | Bani/ | Charu |
| June | Bani | Charu | |
| October | Esha | Esha | Esha |
| November | Charu | Arun/ | Arun |
| December | Bani/ | Bani |
From three different cases we are getting three different positions.
Hence data in statement II alone is not sufficient.
Checking both statements I and II:
| Months | Persons |
| January | Dina/Farah |
| April | Arun |
| June | Bani |
| October | Esha |
| November | Charu |
| December | Farah/Dina |
Either Dina or Farah was born just before Arun, but we are not getting one definite answer.
Hence data in both the statements together is not sufficient.
Hence option D is correct.