## Introduction

In this blog, we will discuss Data Sufficiency and how to use it in various logical problems. Let’s understand the definition of Data Sufficiency?

## Data Sufficiency

In Data Sufficiency, we are interested in analyzing the given data and figure out if the provided information is enough to solve the problem or not.

So let’s say we have given a question and 2 statements providing certain information, and there will be some answer options.

Now we have to analyze those statements and figure out if the statements are sufficient to solve the problem. We are not required to do the calculation, we just have to check whether, with the help of given data, we can find the answer or not.

**Examples**

Let’s understand it with the below example -

**Question 1 **- There are 4 friends A, B, C, and D, and we have to find who among them is the heaviest?

**Statement 1 **- B is heavier than A and D but lighter than C.

**Statement** **2** - A is lighter than B and C but heavier than D.

**Analysis** - If we analyze the above statements, we will figure out from statements 1, B > A, B > D, and B < C.

From statement 2, A < B, A < C, A > D.

If we combine above two statements, we get C > B > A > D

That means Data in statements 1 and 2 are sufficient to solve the problem.

Let’s take another example of Simple Interest and Compound Interest to understand this concept more clearly -

**Question 2 **- Find Net Worth of Alice’s Assets?

**Statement** **1** - A compound interest at 15% on his assets, followed by a tax of 4% on the interest, fetches Alice Rs. 2000 this year.

**Statement** **2** - The interest is compounded once every four months.

**Analysis** - Let’s start analyzing the above statements and try to solve them using statements alone. If we cannot find the answer, we will solve the question using both statements.

In Statement 1, we can see that the compound interest of 15% is given to us, and 4% interest on this compound interest is also given. This interest will be a total of Rs. 1500. But to calculate the net worth, we need to have a time of the compound interest and the total amount or the principal amount given to us. This data is not present in statement 1. That means statement 1 is not sufficient to find out the answer.

In statement 2, the time on which compound interest can be calculated is given to us, but there is no other information or data provided which can be helpful to find the answer. That means statement 2 is also not sufficient to determine the solution.

That means Both statements alone cannot determine the answer. But when we combine these 2 statements, we can see that all the information is given to us, and we can determine the net worth of Alice’s assets.