Data Sufficiency

IMPORTANT

Data Sufficiency: Overview

With the aid of various examples, we will learn the concept of data sufficiency, where we need to check whether the given data is sufficient or not. We will also look into the type of questions that can be made on this concept.

Important Questions on Data Sufficiency

EASY
IMPORTANT

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question?

Give answer 1. If statement I alone is sufficient but statement II alone is not sufficient. 2. If statement II alone is sufficient but statement I alone is not sufficient. 3. If each statement alone (either I or II) is sufficient. 4. If statement I and II both are not sufficient. 5. If both statements I and II together are sufficient, but neither statement alone is sufficient.

What is the price range of ordinary wall clocks?

I. The price range of ordinary wrist watches of company X is 400 to 600.
II. The price range of ordinary wall clocks of company X is 50% that of their ordinary watches.

EASY
IMPORTANT

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question?

Give answer

1. If statement I alone is sufficient to answer the question, but statement II alone is not sufficient.

2. If statement II alone is sufficient to answer the question, but statement I alone is not sufficient.

3. If both statements I and II together are needed to answer the question.

4. If either the statement I alone or the statement II alone is sufficient to answer the question.

5. If you cannot get the answer from the statements I and II I and II together, but need every more data.

If a man wants to cover a square room with a carpet, how much will it cost?

I. If the service charges is 15 and each square yard cost is 20.
II. If the room were 1/2 as large in area, it would cost 150 less.

EASY
IMPORTANT

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question?

Give answer 1. If statement I alone is sufficient but statement II alone is not sufficient. 2. If statement II alone is sufficient but statement I alone is not sufficient. 3. If each statement alone (either I or II) is sufficient. 4. If statement I and II both are not sufficient. 5. If both statements I and II together are sufficient, but neither statement alone is sufficient.


What is the amount of rice exported from India?

I. India's export to America is 80,000 tonnes and this is 10% of the total rice exports.
II. India's total export tonnage of rice is 12.5% of the total of 6.4 million tonnes.

EASY
IMPORTANT

Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

What is the present age of A and B?

I. Ratio of their present ages is 3 : 1.
II. Ratio of their ages 10 years ago was 5 : 1.

MEDIUM
IMPORTANT

The following question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.

What is the area of rectangle ABCD?

I. The length of the rectangle is twice its breadth.

II. If breadth is reduced by 2 units its and length remains unchanged, then area of the rectangle gets reduced by 8 square units

III. If length is doubled and breadth is halved, then area of the rectangle remains unchanged.

EASY
IMPORTANT

Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give an 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 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 in both the statements I and II together are not sufficient to and II together are sufficient to answer the question.
(e) If the data in both the statements I and II together are necessary to answer the question.

How many students from the class failed?
I. The number of students securing First Class was equal to the number of students who failed.
II. The number of students securing First Class was one-third of the number of students passed in the class of 120 students.

HARD
IMPORTANT

The following question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.

What is the present age of Radha? 
I. Radha's present age is 211th of her mother's age at present. 

II. Radha is older than her brother by 4 years. 

Ill. After four years Radha's age will be one fourth of her mother's age that time. 

EASY
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the speed of the train?
I. Length of the platform is 150% of the length of the train.
II. The train crosses the platform in 25 seconds.
Ill. The train crosses the signal pole in 10 seconds.

MEDIUM
IMPORTANT

The following question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.

What is the speed of the train in kmph?
I. The train crosses an 'x' meter long platform in n seconds.
II. Length of the train is 'y' meters.
Ill. The train crosses a signal pole in 'm' seconds.

EASY
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

How many children are there in the class?
I. 20% children speak only Hindi.
II. 44 children can speak Language other than Hindi.
Ill. There are 30 boys in the class. 

MEDIUM
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the volume of the cylindrical tank?
I. Area of the base is x square metres.
II. Height of the tank is y metres.
Ill. Diameter of the base is equal to the height of the tank.

MEDIUM
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the cost of flooring the rectangular hall ?

I. Length of the rectangle is 6 m .
II. Breadth of the rectangle is two-thirds of its length.
Ill. Cost of flooring an area of 100 cm2 is 45.

EASY
IMPORTANT

The following question is followed by three statements. Read all the statements and answer accordingly.

If the profit on an article is Rs. 35.50, then what is the cost price of the article?

I. The marked price of the article is Rs.430.

II. The profit is more than 10%.

III. The discount of marked is 15%.

MEDIUM
IMPORTANT

The following question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.

What rent will B pay for the pasture? 
I. A, Band C hire a pasture for 26600
II. A keeps 18 cows to graze for 4 months, B keeps 16 cows to graze for 6 months. 
Ill. C keeps 14 cows to graze or 7 months. 

MEDIUM
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the maximum marks of an exam?

I. Piya scores 35% of the maximum marks which is 45 marks lesser than Siya's marks.

II. Siya scores 50% of the maximum marks.

Ill. The ratio of the marks obtained by Piya and Riya respectively is 7 : 13.

EASY
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the average weight of girls in the class?
I. Average weight of all the 60 students is 42 kg.
II. Average weight of boys is 43 kg.
Ill. Total weight of all the girls together is 1144 kg.

EASY
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the selling price of the T.V. set if discount is not offered.
I. Profit earned was 20%.
II. Had 10% discount been offered on selling price the profit would have been 1200.
Ill. Cost price is 15000

MEDIUM
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the maximum marks of an exam?

I. Piya scores 35% of the maximum marks which is 45 marks lesser than Siya's marks.

II. Siya scores 50% of the maximum marks.

Ill. The ratio of the marks obtained by Piya and Riya respectively is 7 : 13.

EASY
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the average weight of girls in the class?
I. Average weight of all the 60 students is 42 kg.
II. Average weight of boys is 43 kg.
Ill. Total weight of all the girls together is 1144 kg.

EASY
IMPORTANT

The following question is accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.

What is the selling price of the T.V. set if discount is not offered.
I. Profit earned was 20%.
II. Had 10% discount been offered on selling price the profit would have been Rs.1200.
Ill. Cost price is Rs.15000