# Verbal Reasoning - Data Sufficiency

- Data Sufficiency - Section 1
- Data Sufficiency - Section 2
- Data Sufficiency - Section 3

*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

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 T related to K?

**Statements:**

- K has two sons; one of the sons is A.
- The mother of T has only two sons - Aand B.

From II, we know that T's mother has only two sons, A and B. This implies that T is the sister of both A and B. But, from I, A is also K's son. So, T is the daughter of K.

**Question: ** What is the shortest distance between Devipur and Durgapur ?

**Statements:**

- Durgapur is 20 kms away from Rampur.
- Devipur is 15 kms away from Rampur.

Clearly, the distance of each village from Rampur is given in I and II. But nothing about their relative positions is mentioned. So, the distance between the two villages cannot be calculated.

**Question: ** How is A related to D ?

**Statements:**

- B is the brother of A.
- B is D's son.

From I and II, we conclude that A is either son or daughter of D.

**Question: ** Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest ?

**Statements:**

- Prabhakar is heavier than Manoj and Kamal but lighter than Akash.
- Manoj is lighter than Prabhakar and Akash but heavier than Kamal.

From I, we have: P > M, P > K, A > P.

Thus, A > P > M > K or A > P > K > M. So, Akash is the heaviest.

From II, we have: P > M, A > M, M > K.

Thus, A > P > M > K or P > A > M > K. So, either Akash or Prabhakar is the heaviest.

**Question: ** Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary ?

**Statements:**

- Javed's salary is 75% that of Vinod's salary.
- Javed's salary is Rs 4500.

Statement I is merely an interpretation of the information contained in the question.

However, Vinod's salary can be ascertained from II as follows : Let Vinod's and Javed's salaries be 4x and 3x respectively. Then, 3x = 4500 or x = 1500. Therefore Vinod's salary = 4x = Rs. 6000.