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- Question
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
- Correct Answer
- II alone is sufficient while I alone is not sufficient
ExplanationFrom II, we know that P's mother is married to J's husband, which means that J is P's mother.
Data Sufficiency problems
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- 1. 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.
- 2. 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.
- 3. Question: What is the code for 'sky' in the code language?
Statements:
- In the code language, 'sky is clear' is written as 'de ra fa'.
- In the same code language, 'make it clear' is written as 'de ga jo'.
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 only word common to I and II is 'clear' and as such, only the code for 'clear' can be ascertained from the given information.- 4. Question: The last Sunday of March, 2006 fell on which date?
Statements:
- The first Sunday of that month fell on 5th.
- The last day of that month was Friday.
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 5th, 12th, 19th and 26th of March, 2006 were Sundays.So, the last Sunday fell on 26th.
From II, we conclude that 31st March, 2006 was Friday. Thus, 26th March, 2006 was the last Sunday of the month.
- 5. Question: How much was the total sale of the company?
Statements:
- The company sold 8000 units of product A each costing Rs. 25.
- This company has no other product line.
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, total sale of product A = Rs. (8000 x 25) = Rs. 200000.From II, we know that the company deals only in product A.
This implies that sale of product A is the total sale of the company, which is Rs. 200000.
- 6. 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.
- 7. 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.
- 8. 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 Discuss
Correct Answer: Both I and II are sufficient
Explanation:
From 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.- 9. 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.- 10. 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.
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- 1. Question: How is T related to K?