Each question is followed by two statements. We need to choose the option as per below guidelines

**Mark (A)**: If the question can be answered by using the statement 1 alone but not by using statement 2 alone.**Mark (B )**: If the question can be answered by using the statement 2 alone but not by using statement 1 alone.**Mark (C)** : If the question can be answered by using either of the statements alone.**Mark (D)**: If the question can be answered by using both statements together but not by either of statements alone.**Mark (E)** : If the question cannot be answered on the basis of the two statements.

The thought process while approaching DS question is as follows

**Step1**: Take Statement 1 and try to reach a conclusion.

**Step 2**: Take Statement 2 and try to reach a conclusion. Information given in statement 1 is **NOT** used in this step.

**Step 3**: If we are not able to reach a conclusion in step 1 or step 2, take both statements together and try to reach a conclusion.

We will learn with examples

**Question**: Is x > 3?**Statement 1**: x is the smallest prime.**Statement 2**: x^{2}=4

**Using statement 1 alone**: smallest prime is 2. Hence x = 2, we can conclude that x is NOT greater than 3. **Remember that getting No is also a conclusion.****Using statement 2 alone**: √4 = +2 or -2. Both case x is NOT greater than 3.

As we can conclude in both step1 and step2 we don’t have to go for the step 3.

We can Mark **[ C ]**

**Question**: Is A taller than B ?**Statement 1**: A is tallest in his class**Statement 2**: A and B are class mates

**Using Statement 1 Alone**: We don’t know whether A and B are classmates or not. We cannot conclude about their height.**Using Statement 2 Alone**: We cannot reach any conclusion as no information regarding height is given.**Using both statements Combined**: A and B are in same class and A is the tallest in that class. We can conclude that A is taller than B.

We can mark **[ D ]**

**Question**: is x > 0 ?**Statement 1**: x – 1245/247 = 134/1209 – 87/45**Statement 2**: -1 < x < 1

**Using statement 1 alone**: we can get a unique value of x by solving the given equation. Hence we can conclude whether x is positive or not by using statement 1 alone. Now the most important point, **don’t try to find x by solving the equation**. Question is **Can you find x**, not to **Find x**. finding actual values ‘Just to be sure’ is a major wastage of time when we deal with data sufficiency.**Using statement 2 alone**: going by the given information, x can be anywhere between -1 and 1. We cannot conclude x to be positive or negative using this statement.

We can mark **[ A** **]**

**Question**: ABCD is a quadrilateral. Is ABCD a square ?**Statement 1**: opposite angles are equal.**Statement 2**: Diagonals are equal in length.

**Using Statement 1 alone**: Information from this statement can make ABCD, a square, rectangle, rhombus or a parallelogram. We cannot conclude the shape of ABCD using this statement alone.**Using Statement 2 alone**: from the information given, ABCD can be either a square or a rectangle. We cannot conclude the shape of ABCD using this statement.**Using both statements**: By clubbing the data of both statements, ABCD fits the definition of a rectangle and a square. We cannot uniquely identify the shape of ABCD using both statements together.

Given data is not sufficient. Hence mark **[ E ]**

**Question**: is x divisible by 9 ?**Statement 1** : sum of digits of x is divisible by 3**Statement 2** : sum of digits of x is divisible by 9

**Using Statement 1 alone**: from this information we cannot conclude that x is divisible by 9. It just says x is divisible by 3.**Using Statement 2 alone**: from this information we can conclude that x is divisible by 9.

We can mark **[ B ]**

Keep your number system and geometry concepts handy. You will need them in DS.

**Happy learning** **:-)**

Each question is followed by two statements. We need to choose the option as per below guidelines

**Mark (A)**: If the question can be answered by using the statement 1 alone but not by using statement 2 alone.**Mark (B )**: If the question can be answered by using the statement 2 alone but not by using statement 1 alone.**Mark (C)** : If the question can be answered by using either of the statements alone.**Mark (D)**: If the question can be answered by using both statements together but not by either of statements alone.**Mark (E)** : If the question cannot be answered on the basis of the two statements.

The thought process while approaching DS question is as follows

**Step1**: Take Statement 1 and try to reach a conclusion.

**Step 2**: Take Statement 2 and try to reach a conclusion. Information given in statement 1 is **NOT** used in this step.

**Step 3**: If we are not able to reach a conclusion in step 1 or step 2, take both statements together and try to reach a conclusion.

We will learn with examples

**Question**: Is x > 3?**Statement 1**: x is the smallest prime.**Statement 2**: x^{2}=4

**Using statement 1 alone**: smallest prime is 2. Hence x = 2, we can conclude that x is NOT greater than 3. **Remember that getting No is also a conclusion.****Using statement 2 alone**: √4 = +2 or -2. Both case x is NOT greater than 3.

As we can conclude in both step1 and step2 we don’t have to go for the step 3.

We can Mark **[ C ]**

**Question**: Is A taller than B ?**Statement 1**: A is tallest in his class**Statement 2**: A and B are class mates

**Using Statement 1 Alone**: We don’t know whether A and B are classmates or not. We cannot conclude about their height.**Using Statement 2 Alone**: We cannot reach any conclusion as no information regarding height is given.**Using both statements Combined**: A and B are in same class and A is the tallest in that class. We can conclude that A is taller than B.

We can mark **[ D ]**

**Question**: is x > 0 ?**Statement 1**: x – 1245/247 = 134/1209 – 87/45**Statement 2**: -1 < x < 1

**Using statement 1 alone**: we can get a unique value of x by solving the given equation. Hence we can conclude whether x is positive or not by using statement 1 alone. Now the most important point, **don’t try to find x by solving the equation**. Question is **Can you find x**, not to **Find x**. finding actual values ‘Just to be sure’ is a major wastage of time when we deal with data sufficiency.**Using statement 2 alone**: going by the given information, x can be anywhere between -1 and 1. We cannot conclude x to be positive or negative using this statement.

We can mark **[ A** **]**

**Question**: ABCD is a quadrilateral. Is ABCD a square ?**Statement 1**: opposite angles are equal.**Statement 2**: Diagonals are equal in length.

**Using Statement 1 alone**: Information from this statement can make ABCD, a square, rectangle, rhombus or a parallelogram. We cannot conclude the shape of ABCD using this statement alone.**Using Statement 2 alone**: from the information given, ABCD can be either a square or a rectangle. We cannot conclude the shape of ABCD using this statement.**Using both statements**: By clubbing the data of both statements, ABCD fits the definition of a rectangle and a square. We cannot uniquely identify the shape of ABCD using both statements together.

Given data is not sufficient. Hence mark **[ E ]**

**Question**: is x divisible by 9 ?**Statement 1** : sum of digits of x is divisible by 3**Statement 2** : sum of digits of x is divisible by 9

**Using Statement 1 alone**: from this information we cannot conclude that x is divisible by 9. It just says x is divisible by 3.**Using Statement 2 alone**: from this information we can conclude that x is divisible by 9.

We can mark **[ B ]**

Keep your number system and geometry concepts handy. You will need them in DS.

**Happy learning** **:-)**