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- Question
Question: On which date of the month was Anjali born in February 2004?
Statements:
- Anjali was born on an even date of the month.
- Anjali's birth date was a prime number.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient
- Correct Answer
- Both I and II are sufficient
ExplanationFrom I and II, we conclude that Anjali was born in February 2004 on a date which is an even prime number. Since the only even prime number is 2, so Anjali was born on 2nd February, 2004.
Data Sufficiency problems
Search Results
- 1. Question: Who is to the immediate right of P among five persons P, Q, R, S and T facing North?
Statements:
- R is third to the left of Q and P is second to the right of R.
- Q is to the immediate left of T who is second to the right of P.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
From I, we have the order: R, -, P, Q.From II, we have the order: P, Q, T.
Clearly, each one of the above two orders indicates that Q is to the immediate right of P.
- 2. Question: How is X related to Y?
Statements:
- Y and Z are children of D who is wife of X.
- R's sister X is married to Ys father.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
From I, we conclude that Y is the child of D who is wife of X i.e. X is Y's father.From II, X is married to Y's father. This implies that X is Y's mother.
- 3. Question: How is J related to P?
Statements:
- M is brother of P and T is sister of P.
- P's mother is married to J's husband who has one son and two daughters.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: II alone is sufficient while I alone is not sufficient
Explanation:
From II, we know that P's mother is married to J's husband, which means that J is P's mother.- 4. Question: How is T related to K?
Statements:
- R's sister J has married Ts brother L, who is the only son of his parents.
- K is the only daughter of L and J.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
From I, we know that L is T's brother and J's husband. Since L is the only son of his parents, T is L's sister.From II, we know that K is L's daughter.
Thus, from I and II, we conclude that T is the sister of K's father i.e. T is K's aunt.
- 5. Question: How many children are there between P and Q in a row of children?
Statements:
- P is fifteenth from the left in the row.
- Q is exactly in the middle and there are ten children towards his right.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
From II, Q being in the middle, there are 10 children to his right as well as to his left. So, Q is 11th from the left. From I, P is 15th from the left.Thus, from both I and II, we conclude that there are 3 children between P and Q.
- 6. Question: How is X related to Y?
Statements:
- Y says, "I have only one brother".
- X says, "I have only one sister".
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Neither I nor II is sufficient
Explanation:
The statements in I and II do not provide any clue regarding relation between X and Y.- 7. Question: How is F related to P?
Statements:
- P has two sisters M and N.
- F's mother is sister of M's father.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Both I and II are sufficient
Explanation:
From I and II, we conclude that P is M's brother and so M's father is P's father. So, F is the child of the sister of P's father i.e. F's mother is P's aunt or F is P's cousin.- 8. Question: B is the brother of A. How is A related to B?
Statements:
- A is the sister of C.
- E is the husband of A.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
B is A's brother means A is either brother or sister of B. Now, each one of I and II individually indicates that A is a female, which means that A is B's sister.- 9. Question: How many children are there in the row of children facing North?
Statements:
- Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.
- Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: Either I or II is sufficient
Explanation:
Since 8th to the left of 12th from the right is 20th from the right, so from I, we know that Vishakha is 5th from left and 20th from right i.e. there are 4 children to the left and 19 to the right of Vishakha. So, there are (4 + 1 + 19) i.e. 24 children in the row.From II, Nisha is 7th from right and 18th from left end of the row.
So, there are (6 + 1 + 17) = 24 children in the row.
- 10. Question: How many doctors are practising in this town?
Statements:
- There is one doctor per seven hundred residents.
- There are 16 wards with each ward having as many doctors as the number of wards.
Options- A. I alone is sufficient while II alone is not sufficient
- B. II alone is sufficient while I alone is not sufficient
- C. Either I or II is sufficient
- D. Neither I nor II is sufficient
- E. Both I and II are sufficient Discuss
Correct Answer: II alone is sufficient while I alone is not sufficient
Explanation:
From I, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known.From II, total number of doctors in town
= (Number of wards in town) x (Number of doctors in each ward)
= 16 x 16 = 256.
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- 1. Question: Who is to the immediate right of P among five persons P, Q, R, S and T facing North?