Data Sufficiency
1.Question : In which year was Rahul born ?

Statements :
I. Rahul at present is 25 years younger to his mother.
II. Rahul's brother, who was born in 1964, is 35 years younger to his mother.

Explanation:

Solution:
From both I and II, we find that Rahul is (35 - 25) = 10 years older than his brother, who was born in 1964. So, Rahul was born in 1954.

2.Question : What will be the total weight of 10 poles, each of the same weight ?

Statements :
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.

Explanation:

Solution:
From I, we conclude that weight of each pole = (4x5) kg = 20 kg.
So, total weight of 10 poles = (20 x 10) kg = 200 kg.
From II, we conclude that:
Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.
So, total weight of 10 pojes = (20 x 10) kg = 200 kg.

3.Question : How many children does M have ?

Statements :
I. H is the only daughter of X who is wife of M.
II. K and J are brothers of M.

Explanation:

Solution:
From I, we conclude that H is the only daughter of M. But this does not indicate that M has no son. The information given in II is immaterial.

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

Statements :
I. The first Sunday of that month fell on 5th.
II. The last day of that month was Friday.

Explanation:

Solution:
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 : What is the code for 'sky' in the code language ?

Statements :
I. In the code language, 'sky is clear' is written as 'de ra fa'.
II. In the same code language, 'make it clear' is written as 'de ga jo'.

Explanation:

Solution:
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.

6.Question : How many children are there between P and Q in a row of children ?

Statements :
I. P is fifteenth from the left in the row.
II. Q is exactly in the middle and there are ten children towards his right.

Explanation:

Solution:
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.

7.Question : How is T related to K?

Statements :
I. R's sister J has married Ts brother L, who is the only son of his parents.
II. K is the only daughter of L and J.

Explanation:

Solution:
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.

8.Question : How is X related to Y ?

Statements :
I. Y and Z are children of D who is wife of X.
II. R's sister X is married to Ys father.

Explanation:

Solution:
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.

9.Question : Who is to the immediate right of P among five persons P, Q, R, S and T facing North ?

Statements :
I. R is third to the left of Q and P is second to the right of R.
II. Q is to the immediate left of T who is second to the right of P.

Explanation:

Solution:
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.

10.Question : On which date of the month was Anjali born in February 2004 ?

Statements :
I. Anjali was born on an even date of the month.
II. Anjali's birth date was a prime number.