## Formula For Data Sufficiency:-

**Definition:**

In data sufficiency, questions are framed to examine students reasoning, logical and decision-making skills. For this, you must read the questions properly and based on the information given in the options you have to decide whether the information is sufficient to answer or not. The questions could vary from blood relation to mathematical calculations and sometimes coding and decoding problems.

Each data sufficiency element presents you with a question. Also, five answer choices will be there, containing the relationship between question and the data given in an indirect way. What all you need to do is to select the answer option that correctly defines this relationship.

## Understanding Solution Selections:

For solving data sufficiency questions you need to first understand the question and based on that, selection should be made. The questions will be asked with certain information with two statements labeled I and II. You need to analyze whether the information given in the label I and II is adequate to come to the solution or not. You should use all the data given in the statements along with your mathematics skill and well-known facts (such as sun rises in the east or the meaning of niece), the selection is to be made from below given options:

The answer can be obtained from Statement I alone but statement II alone is not sufficient to answer the question asked;

A. Data in statement 1 is sufficient alone to determine the answer.

B. Data in statement 2 is sufficient alone to determine the answer.

C. Data in either of the statements is sufficient to determine the answer.

D. Data provided in both the statements together are not sufficient to determine the answer.

E. Data in both statements are required to determine the answer.

**Note:** In data sufficiency problems, you can mark as “the data given in the statements is satisfactory” only when there is outcome or solution is in the numerical value.

### Question 1.

**Who is the father of A.**

**Statement I: x and y are brothers.**

**Statement II: y’s wife is the sister of A’s wife.**

A. Data in statement 1 is sufficient alone to determine the answer.

B. Data in statement 2 is sufficient alone to determine the answer.

C. Data in either of the statements is sufficient to determine the answer.

D. Data provided in both the statements together are not sufficient to determine the answer.

E. Data in both statements are required to determine the answer.

#### Answer: D

#### Explanation:

The statement I gives the relation between X and Y. So statement I alone cannot determine the answer. Through statement II we can determine that Y is the brother-in-law of A. Thus using both the statements you cannot determine the father of A. hence option D is correct.

## Tips and Tricks and Shortcuts to Solve Data Sufficiency:-

Data sufficiency questions test your knowledge of basic math facts and skills along with reasoning, analytical, and problem-solving abilities.

- In Data sufficiency problems, a question consists of two statements labeled I and II, in which a piece of certain information is given. You have to decide whether the information given in the statements is sufficient to answer the question or not. Using the information given in the statements plus your knowledge of mathematics and well-known facts

**Note:** In data sufficiency problems, the information given in the statements is sufficient, when it is possible to determine exactly one numerical value as an answer for the problem.

## Step for Data sufficiency:-

Step 1- Examine the Question properly

Step 2- Consider each statement individually

Step 3- Combine the two statements**Directions for data sufficiency questions (1-3):**

A. If data in the statement I alone is sufficient to answer the question.

B. If data in the statement II alone is sufficient to answer the question.

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

D. If data given in both I & II together are not sufficient to answer the question.

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

### Question 1

**Who is taller among P, Q, R, S & T?**

**(l) S is shorter than Q. P is shorter than only T.**

**(ll) Q is taller than only S. T is taller than P and R.**

#### Correct Option: C

#### Explanations:

From I : P is shorter than only T, this means that P is taller than all Q, R & S, so T is tallest.

From 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

**What is the distance between point P and point Q?(l) Point R is 10 m west of point P and point S is 10 m north of point P.(ll) Point Q is 10 m south-east of point R. Point S is 20 m north-west of point Q.**

#### Correct Option: D

#### Explanations:

From I : No relation between points P and Q

From II : In this since we don’t know the angles between sides of triangle forming with points PQS and PQR, PQ cannot be determined.

### Question 3

**How is Shubham related to Shivani?(l) Shubham is brother of Meenal. Shivani is niece of Pooja.(ll) Neeraj is Meenal’s uncle and Preeti’s brother**

#### Correct Option: D

#### Explanation:

Either statement cant give the answer.From both statements we can get the relationship as Pooja is Neeraj’s sister but it cannot be clearly said that Shubham & Meenal are Pooja’s children or not & Shivani is Neeraj’s daughter, because there can be other siblings of Neeraj and Pooja also.