# The Time is Running Out, Master the Important Data Sufficiency Questions Now!

In this post, we will solve Data Sufficiency Questions using the smart tricks for IBPS PO and SSC Exams
In SBI PO, IBPS PO and SSC Exams Data Sufficiency Questions appear for 5 marks. These 5 marks can be easily scored if you can analyse the sufficiency of the data. Data Sufficiency Questions are the word problems where you need not solve the entire question but just need to check the sufficiency of the data and select the correct options. In this post, we have discussed data sufficiency questions pattern and few frequently asked data sufficiency questions. These questions are solved using the smart trick which will help you save time in SBI PO, IBPS PO and SSC Exams.

Data Sufficiency Questions Pattern
In data sufficiency, a question is given followed by 2 statements. We need to check the sufficiency of the data i.e. statement 1, statement 2 or both the statements are sufficient to solve the given data or not. We need not solve the entire question but just check the sufficiency of the given data. Then we need to select the right answer out of the given 5 options.

Example 1: Data Sufficiency Questions

Question: What is the value of the integer x?
Statement 1- x lie in between 40 and 50
Statement 2- x is a multiple of 7

Option 1: Only statement 1 is sufficient
Option 2: Only statement 2 is sufficient
Option 3: Either statement 1 or statement 2 is sufficient
Option 4: Both the statements together are not sufficient
Option 5: Both the statements together are sufficient

Analysis of the Statements

Statement 1:  Statement 1 "x lies in between 40 and 50" gives us various possibilities such as 41, 42, 43, 44, 45, 46, 47, 48 0r 49. As it doesn't give a unique value of 'x' statement 1 is insufficient.

Statement 2: Statement 2 " x is a multiple of 2" also gives us various possibilities such as 7, 14, 21, 28 etc. Since, it doesn't give a unique value of 'x' statement 2 is insufficient.

Answer: The correct answer is Option 4: Both the statements together are not sufficient to give the answer because neither statement 1 nor statement 2 nor the statements 1 and 2 together can provide sufficient data to find the value of x.

Example 2: Data Sufficiency Questions

Question: What is the area of the circle?
Statement 1: The circumference of the circle is 308 m
Statement 2: The radius of the circle is 28 m.

Option 1: Only statement 1 is sufficient
Option 2: Only statement 2 is sufficient
Option 3: Either statement 1 or statement 2 is sufficient
Option 4: Both the statements together are not sufficient
Option 5: Both the statements together are sufficient

Analysis of the Statements
To find the area of the circle, we need to find out which statement can give us the radius of the circle. Since,
Statement 1: In statement 1 "the circumference of the circle is 308 m" is given. That means,
We can find the radius of the circle and substitute it in the formula of the area of a circle. Hence, this statement is sufficient to answer the question.

Statement 2: In statement 2 "the radius of the circle is 28 m" is given. Since the value of the radius can be substituted in the formula of area of a circle, we can easily find the area of a circle. Hence, statement 2 is sufficient to answer the question.

Answer: The correct answer is Option 3: Either statement 1 or statement 2 is sufficient because the area of the circle can be found by using either statement 1 or statement 2.

Example 3: Data Sufficiency Questions

Question: What is the speed of the train?
Statement 1: 280m long train crosses a signal pole in 18 seconds
Statement 2: 280m long train crosses a platform in 45 seconds

Option 1: Only statement 1 is sufficient
Option 2: Only statement 2 is sufficient
Option 3: Either statement 1 or statement 2 is sufficient
Option 4: Both the statements together are not sufficient
Option 5: Both the statements together are sufficient

Analysis of the Statements
In this question, we need to find the speed of the train.

S= ?

Statement 1: In Statement 1 "280m long train crosses a signal pole in 18 seconds", the length of the train and the time in which it crosses the signal pole is given. From the concept of time and distance, we can say;
Since the speed of the train can be found, statement 1 is sufficient to answer the question.

Statement 2: In Statement 2 "280m long train crosses a platform in 45 seconds" we use the formula of platform,
As the length of the platform is not mentioned, we can not find the speed of the train. Hence, Statement 2 is not sufficient to answer the question.

Answer: The correct answer is option 1: Statement 1 alone is sufficient because the speed of the train can be found.
Example 4: Data Sufficiency Questions

Question: How many articles were sold?

Statement 1: Total profit earned was Rs. 1596
Statement 2: Cost price of the article was Rs.632
Statement 3: Selling Price per article was Rs.765

Analysis of the Statements
In this question, we need to find the number of articles that were sold.

n= ?

Statement 1: In statement 1 "Total profit earned was Rs.1596", total profit is given. Since we can not find the number of articles that were sold, Statement 1 is insufficient to answer the question.

Statement 2: In statement 2 "Cost price of the article was Rs.632.", cost price is given. Since we can not find the number of articles that were sold, Statement 2 is insufficient to answer the question.

Statement 3: In statement 3 "Selling Price per article was Rs.765." - selling price is given. Since we can not find the number of articles that were sold, Statement 3 is insufficient to answer the question.

From statement 2 and 3, we can find the profit earned from one article. When we divide the profit per article with statement 1 - total profit, we will get the number of articles that were sold.

Answer: All the statements are together required to solve the question.

Example 5: Data Sufficiency Questions

Question: In how many days can the work be completed by A and B together.

Statement 1 -  A alone can complete work in 8 days.
Statement 2 – If A alone works for 5 days and B alone works for 6 days, the work gets completed.
Statement 3 – B alone can complete the work in 16 days.

Analysis of the Statements
In this question, we need to find the number A and B together will take to complete the work.

Statement 1: In statement 1 " A alone can complete work in 8 days." - The number of days a will take to complete the work is given.

W = 8A

Since we can not find the number of days B will take to complete the work, Statement 1 is insufficient to answer the question.

Statement 2: In statement 2 "If A alone works for 5 days and B alone works for 6 days, the work gets completed.

W = 5A + 6B

Since we can not find the number of days that will be taken by both. Hence, Statement 2 is insufficient to answer the question.

Statement 3: In statement 3 "B alone can complete the work in 16 days" - The number of days A will take to complete the work is given.

W = 16B

Since we can not find the number of days A will take to complete the work, Statement 3 is insufficient to answer the question.

When we combine any two statements together, we can find the answer to the question.

Data Sufficiency Questions based on Redundancy

Redundancy means we need to find the statements that are not required to solve the question.

Example 6: Data Sufficiency Questions

Question: Three friends P, Q, R started a partnership business investing money in the ratio of 5: 4: 2 respectively for a period of 3 years. What is the share of ‘P’ in the total profit?

Statement 1: Total investment in the business is Rs.22000.
Statement 2: Total profit at the end of 3 years is 3/8 of total investment
Statement 3: The average amount of profit earned per year is Rs.2750

Analysis of the Statements
In this question, we need to find the total profit earned by all the three partners in order to find the profit of 'P'

Statement 1: In statement 1 "total investment in the business is Rs.22000" - total investment is given. Hence, Statement 1 is insufficient.

Statement 2: In statement 2 "Total profit at the end of 3 years is 3/8 of total investment" that means that from statement 1 we can take the total investment and find the total profit made in 3 years.

Statement 3: In statement 3 "The average amount of profit earned per year is Rs.2750" - average profit for a year is given. therefore, we can add the average profit 3 times to get the total profit for 3 years.

Hence, statement 1 and 2 or alone statement 3 can provide sufficient data to solve the question.

Answer: Either only 3 or both (1) and (2) together are redundant

Example 7: Data Sufficiency Questions

Question: At what time will the train reach city X from city Y?

Statement 1: The train crosses another train of equal length of 200m, running in opposite direction in 15 seconds.
Statement 2: The train leaves city Y at 7.15 Am for city X stated at a distance of 558km
Statement 3: The 200m long train crosses a signal pole in 10 seconds

Analysis of the Statements
In this question, we need to find the time in which the train reaches city Y from city X.
So we need to find the distance and speed of the train.

Statement 1: Statement 1 "The train crosses another train of equal length of 200m, running in opposite direction in 15 seconds"- is neither giving us the speed of the train or the distance of the train. Since the speed is not known, Statement 1 is insufficient to answer the question.
Statement 2: In statement 2 "The train leaves city Y at 7.15 Am for city X stated at a distance of 558km", we can only find the distance, not the speed of the train. Hence, this statement is insufficient to answer the question.

Statement 3: In Statement 3 "The 200m long train crosses a signal pole in 10 seconds"- we can find the speed of the train. Hence, this statement is insufficient to answer the question.
As Statement 2 gives us the distance between two cities and Statement 3 gives us the speed of the train. When combined, we can find the speed of the train. Therefore, Statement 1 is redundant.

Answer: Only Statement 1 is redundant.

Data Sufficiency Questions for Practice

Each of the questions below consists of a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the question and the statements before marking your answer.

(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
(D) If the data given in both statements, I and II together are not sufficient to answer the question

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

Question: Among P, Q, T, V, and W each are having a different age, who is the youngest?
I. T is older than Q and W.
II. P is older than T but younger than V.

1) A          2) B         3) C         4) D          5) E

Question: John and Paul are standing together on a sunny day. John’s shadow is 10 meters long. Paul’s shadow is 9 meters long. How tall is Paul?
1) John is 6 meters tall
2) John is standing 2 meters away from Paul

1) A          2) B         3) C         4) D          5) E