In this section, the following topics are discussed with example

**Introduction****Tips to solve Data Sufficiency Problems****Examples**

### INTRODUCTION

Data Sufficiency problem consists of a question followed by two statements, labeled as Statement (1) and Statement (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question.

Using the data given in the statements upheld your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate from the following answer options that whether:

**(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;**

**(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;**

**(C) Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient.**

**(D) EACH statement ALONE is sufficient to answer the question asked;**

**(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.**

## You have to be odd to be number one

Dr.SEUSS

#### TIPS TO SOLVE DATA SUFFICIENCY PROBLEMS

- Never try to reach final answer as it is not asked. You need to find whether the information provided is enough to solve the given problem or not.
- Never make any assumption. Use only universal rules { eg. a + b = a + b – (a U b) }
- Try to solve questions by using above strategic
- Solve question step by step. First try to find answer using first statement then second and finally with both. Then mark the answer
- Even if you find answer with only one statement, then try to find answer with remaining statement as sometimes there is an option that answer can be find with both statements separately.
- Move on quickly and mark answer can’t be found in case you are unable to reach any conclusion with information provided.

#### EXAMPLES

**1) How is X related to Y ?****Statements:****1. Y and Z are children of D who is wife of X.****2. R’s sister X is married to Ys father.**

A. 1 alone is sufficient while 2 alone is not sufficient

B. 2 alone is sufficient while 1 alone is not sufficient

C. Either 1 or 2 is sufficient

D. Neither 1 nor 2 is sufficient

E. Both 1 and 2 are sufficient

**Solution:**

Answer: **C**

Explanation:

From 1, we conclude that Y is the child of D who is wife of X i.e. X is Y’s father.

From 2, X is married to Y’s father. This implies that X is Y’s mother.

2) Is x divisible by 28 ?

Statement I : x is divisible by 20

Statement II : x is divisible by 84

Answer:

Using statement I – x is divisible by 4 and 5

Using statement II – x is divisible by 3,4, and 7.

By using both statements we can conclude that x is divisible by 28 ( 4*7), hence answer is C.

Thus in this post we learned about the concepts of Data Sufficiency, tips to solve data sufficiency problems with examples.