Data Sufficiency

In each of the questions below 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. Read both the statements and Give answer

(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question

(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question

(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question

(D) If the data given in both statements I and II together are not sufficient to answer the question and

(E) If the data in both statements I and II together are necessary to answer the question.

Question:
How is X related to Y ?
Statements:

  1. Y and Z are children of D who is wife of X.
  2. R’s sister X is married to Ys father.
Answer: (c)

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.

Question:
How is J related to P ?
Statements:

  1. M is brother of P and T is sister of P.
  2. P’s mother is married to J’s husband who has one son and two daughters.
Answer: (b)

From II, we know that P's mother is married to J's husband, which means that J is P's mother.

Question:
How is T related to K?
Statements:

  1. R’s sister J has married Ts brother L, who is the only son of his parents.
  2. K is the only daughter of L and J.
Answer: (e)

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.

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

  1. P is fifteenth from the left in the row.
  2. Q is exactly in the middle and there are ten children towards his right.
Answer: (e)

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.

Question:
What is the code for ‘sky’ in the code language ?
Statements:

  1. In the code language, ‘sky is clear’ is written as ‘de ra fa’.
  2. In the same code language, ‘make it clear’ is written as ‘de ga jo’.
Answer: (d)

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.

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

  1. The first Sunday of that month fell on 5th.
  2. The last day of that month was Friday.
Answer: (c)

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.

Question:
How much was the total sale of the company ?
Statements:

  1. The company sold 8000 units of product A each costing Rs. 25.
  2. This company has no other product line.
Answer: (e)

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.

Question:
How many children does M have ?
Statements:

  1. H is the only daughter of X who is wife of M.
  2. K and J are brothers of M.
Answer: (d)

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.

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

  1. One-fourth of the weight of each pole is 5 kg.
  2. The total weight of three poles is 20 kilograms more than the total weight of two poles.
Answer: (c)

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.

Question:
In which year was Rahul born ?
Statements:

  1. Rahul at present is 25 years younger to his mother.
  2. Rahul’s brother, who was born in 1964, is 35 years younger to his mother.
Answer: (e)

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.