# Verbal Reasoning - Data Sufficiency

Exercise : Data Sufficiency - Section 1
Directions to Solve

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

• (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.

1.

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.

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient
Both I and II are sufficient
Explanation:

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:

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.

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient
Both I and II are sufficient
Explanation:

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:

1. H is the only daughter of X who is wife of M.
2. K and J are brothers of M.

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient
Both I and II are sufficient
Explanation:

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: 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.

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient
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.

5.

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.

I alone is sufficient while II alone is not sufficient
II alone is sufficient while I alone is not sufficient
Either I or II is sufficient
Neither I nor II is sufficient
Both I and II are sufficient