Data Sufficiency
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
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 If statement alone is sufficient but statement alone is not sufficient. If statement alone is sufficient but statement alone is not sufficient. If each statement alone (either ) is sufficient. If statement both are not sufficient. If both statements together are sufficient, but neither statement alone is sufficient.
What is the price range of ordinary wall clocks?
The price range of ordinary wrist watches of company X is
The price range of ordinary wall clocks of company X is that of their ordinary watches.

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
If statement alone is sufficient to answer the question, but statement alone is not sufficient.
If statement alone is sufficient to answer the question, but statement alone is not sufficient.
If both statements together are needed to answer the question.
If either the statement alone or the statement alone is sufficient to answer the question.
If you cannot get the answer from the statements 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?
If the service charges is and each square yard cost is
If the room were as large in area, it would cost less.

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 If statement alone is sufficient but statement alone is not sufficient. If statement alone is sufficient but statement alone is not sufficient. If each statement alone (either ) is sufficient. If statement both are not sufficient. If both statements together are sufficient, but neither statement alone is sufficient.
What is the amount of rice exported from India?
India's export to America is and this is of the total rice exports.
India's total export tonnage of rice is of the total of

Each question below is followed by two statements 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?
Ratio of their present ages is
Ratio of their ages ago was

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 units its and length remains unchanged, then area of the rectangle gets reduced by square units
III. If length is doubled and breadth is halved, then area of the rectangle remains unchanged.

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 students.

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 th of her mother's age at present.
II. Radha is older than her brother by years.
Ill. After four years Radha's age will be one fourth of her mother's age that time.

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 of the length of the train.
II. The train crosses the platform in seconds.
Ill. The train crosses the signal pole in seconds.

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.

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.

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 square metres.
II. Height of the tank is metres.
Ill. Diameter of the base is equal to the height of the tank.

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 .
II. Breadth of the rectangle is two-thirds of its length.
Ill. Cost of flooring an area of is .

The following question is followed by three statements. Read all the statements and answer accordingly.
If the profit on an article is , then what is the cost price of the article?
I. The marked price of the article is .
II. The profit is more than .
III. The discount of marked is .

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 .
II. A keeps cows to graze for months, B keeps cows to graze for months.
Ill. C keeps cows to graze or months.

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.

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 students is .
II. Average weight of boys is .
Ill. Total weight of all the girls together is .

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 .
II. Had discount been offered on selling price the profit would have been .
Ill. Cost price is

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.

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.

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
