Data Sufficiency Questions Answers pdf

Data sufficiency is one of the most important parts of the competitive exams and its important to ace this part and to understand its basic concepts here we are with the Data Sufficiency Questions and its concepts.

It basically focuses on Mathematical direct and indirect knowledge, so here we also discuss how to solve them step by step.

Data Sufficiency questions are a part of the Data interpretation section in the competitive exams.

Concept of Data Sufficiency :

So as per the name suggests “Data sufficiency questions” are those in which data is given to you in the two statements and a question is asked so you have to answer whether data given in the two statements is sufficient to answer the question asked or not.

It’s an objective question with multiple options so you have to select one option as your answer.

Steps to Answer the Questions :

• Firstly and the most important step is to read the directions of the question very carefully as there can be changes in the directions to answer the question.
• Remember these following steps for solving the Data Sufficiency question and follow them in this particular order:

Check and read the first statement: Statement A

Then read the second statement: Statement B

Now if required combine both the statements, A and B to get your answer.

Important Note: Never make any assumptions while answering these questions.

Direction to answer the questions :

• Mark (1) if the question can be answered by statement A alone but cannot be answered by statement B alone
• Mark (2) if the question can be answered by statement B alone but cannot be answered by statement A alone.
• Mark (3) if the question cannot be answered by statement A or statement B alone but can be answered by combining these two statements.
• Mark (4) if the question can be answered by statement A alone and statement B alone
• Mark (5) if the question cannot be answered by statement A or statement B alone and cannot be answered even by combining these two statements.

For Example

1:Â What is the value of x?

Statement A : x2Â = 64
Statement B:Â  x3Â = 512

Solution:Â

From statement A; we get 2 values of x as – 8 and + 8

and from Statement B is we get x = 8.

As per the following the steps mentioned above, We see that statement A is not sufficient to answer the question as Statement B alone is sufficient to answer the question.

Example 2 :

Directions for data sufficiency questions (1-10):
1. If data in statement I alone is sufficient to answer the question.
2. If data in statement II alone is sufficient to answer the question.
3. If data either in statement I alone or statement II alone are sufficient to answer the question.
4. If data given in both I & II together are not sufficient to answer the question.
5. If data in both statements I & II together are necessary to answer the question.
Question 1.Â Who is taller among P, Q, R, S & T?
1. S is shorter than Q. P is shorter than only T.
2. Q is taller than only S. T is taller than P and R.
Explanation:
From Statement I : P is shorter than only T, this means that P is taller than all Q, R & S, so T is tallest.
From Statement II: Q only taller than S, so S is shortest, and Q is second shortest, Now T taller than P and R both, So tallest of all.
Question 2. How is Ravi related to Shubhi?
1. Ravi is the brother of Meenal. Shubhi is the niece of Pooja.
2. Neeraj is Meenalâ€™s uncle and Preetiâ€™s brother
Explanation:
Either statement cant gives the answer.
From both statements, we can get the relationship as Pooja is Neerajâ€™s sister but it cannot be clearly said that Ravi & Meenal are Poojaâ€™s children or not & Shubhi is Neerajâ€™s daughter because there can be other siblings of Neeraj and Pooja also.
Question 3. What is the distance between point P and point Q?
1. Point R is 10 m west of point P and point S is 10 m north of point P.
2. Point Q is 10 m south-east of point R. Point S is 20 m north-west of point Q.
Explanation:
From I: No relation between points P and Q
From II: In this, since we donâ€™t know the angles between sides of the triangle forming with points PQS and PQR, PQ cannot be determined.
Question 4. What is Monicaâ€™s position with respect to Rahul?
1. In a row of 25 students, Monica is sitting 12th from the right end of the row and Rahul is sitting 20th from the left end of the row.
2. Monica is 4th from the right end and Rahul is 8th from the left end.
Explanation:
From I: The position of both of them in a row can be known, so Monicaâ€™s position can be known.
From II: Since the total number of students is not known in this case, Monicaâ€™s position with respect to Rahul cannot be known.
Question 5. Who has secured fewer marks among P, Q, R, S & T?
1. S has secured fewer marks than only R and T.
2. Q secured more marks than P.