Data Sufficiency

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.

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

Answer: C

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.

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Question: How is F related to P?

Statements:

P has two sisters M and N.
F's mother is sister of M's father.

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

Answer: E

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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Question: How is X related to Y?

Statements:

Y says, "I have only one brother".
X says, "I have only one sister".

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

Answer: D

The statements in I and II do not provide any clue regarding relation between X and Y.

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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.

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

Answer: E

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.

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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.

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

Answer: C

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.

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Questions for: Data Sufficiency