Data Sufficiency
Data Sufficiency: Overview
This topic covers concepts, such as, Data Sufficiency etc.
Important Questions on Data Sufficiency
The following questions are accompanied by three statements. You have to determine which statement (s) is/are sufficient/ necessary to answer the question.
What is the area of the rectangle?
Perimeter of the rectangle is .
The total cost of flooring the rectangle at .
Breadth of the rectangle is .

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.
Who is sister of ?
P is brother of and .
is daughter of and is sister of 's daughter.

Directions: Each question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer as:
(a) if the data in statement I alone are sufficient to answer the question
(b) if the data in statement II alone are sufficient to answer the question
(c) if the data either in I or II alone are sufficient to answer the question
(d) if the data even in both the statements together are not sufficient to answer the question and
(e) if the data in both statements I and II are needed to answer the question.
In the last month, the company decided to increase the price of its mixer by . What is the present price of the mixer?
I. The cost of mixer and juicer together was, a month ago.
II. The amount of, increase on the mixer comes to .

The questions 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?
Who is a better artist- Mohanti or Banerjee (on the basis of purchase)?
Mohanti had more art exhibitions.
The number of paintings sold by Banerjee is more.

The question given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.
P, Q, R, S and T are sitting in a row facing North. Who among them is in the middle?I. T is at the right end of the row.
II. S sits between P and R.
III. Neither P nor R sits at an extreme end

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.
What is the ratio of the ages of Reena and Sonam?
years ago their ages were in the ratio .
After years the younger one's age will be that of the older.
The sum of their ages is three less than twice the age of the older.

The questions 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 ?
M, N, B, F and H are sitting around a circular table facing the centre.Who is to the immediate left of B?
Only M is between H and N.
. F is to the immediate left of N.

The question below is followed by two statements labelled and . You have to decide whether the data provided in the statements are sufficient to answer the question. Mark your answer as:
Jackson purchases boxes of fruits, some of which contain apples and the rest contain mangoes. How many boxes do not contain apples?
Statements:
The number of boxes containing apples is of the number of boxes containing mangoes.
The number of boxes containing apples is a multiple of .

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-
How many sister does Lakhan have?
I. The only brother of Lakhan' s father has only one niece.
II. The son of the husband of Lakhan's mother, has only one sister.

The questions given below contain two/four statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.
Is, some $ are .?
(I) Some $ are +.
(II) Some . are $.
(III) All + are ·.
(IV) No + is #.

Directions :
(A) If the data in statement I alone is sufficient to answer the question.
(B) If the data in statement II alone is sufficient to answer the question.
(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.
(D) If the data given in both I and II together are not sufficient to answer the question.
(E) If the data in both the statements I and II together are necessary to answer the question.
What is Meena’s position with respect to Ruby?
I. In a row of Students, Meena is sitting from right end of row and Ruby is sitting from left end of the row.
II. Meena is 4th from right end and Ruby is, from left end.

Each of the question 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.
How is T related to K?
I. R's sister J has married T's brother L, who is the only son of his parents.
II. K is the only daughter of L and J.

The questions below consist of a question and two statements labelled (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the questions.
Who is the youngest among four brothers: A, B, C and D?
I. A is elder to B.
II. B and C are not older than D.

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-
Among A, B, C, D and E who came first in the class, if each of them came at different time?
. C came before only B.
. D came after only A.

The following question below consists of a question and two statements numbered , given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements.
How is 'happy' written in a code language?
. 'I happy today' is written as 'ke ne que' and 'today happy day' is written as 'ke joi ne'.
. 'I play' is written as 'que pa'.

The questions 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 ?
What is the sum which earned interest?
(I) The total simple interest was after years.
(II) The total of sum and simple interest is double of the sum after years.

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 ? Mark answer -
All are the five friends, Rahul, Rakesh, Rajesh, Rajeev and Ravi, who are seated around a circular table facing the centre ?
Rahul sits to the left of Rakesh. Rakesh faces the centre. Rajeev and Ravi are immediate neighbour of each other. Rajesh sits second to the right of Ravi.
Rajeev sits second to the right of Rajesh. Rajesh faces the centre. Both Ravi and Rahul are immediate neighbour of Rajeev. Rakesh sits second to the right of Rahul.

Directions: Each of the questions below consists of a question and two statements numbered I and II are 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 answer.
A. If data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
B. If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
C. If the data in Statement I alone or in Statement II alone is sufficient to answer the question.
D. If the data in both the Statements I and II even together is not sufficient to answer the question. Direction
E. If both the Statements I and II together are necessary to answer the question.
Point X is in which direction with respect to Y?
I. Point Z is at an equal distance from both point X and point Y.
II. Walking to the East of point X and taking two consecutive right turns after walking before each turn leads to point Y.

The questions 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 ? Mark answer-
(1) If statement I alone is sufficient but statement II alone is not sufficient.72
(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 together are not sufficient.
(5) If both statements I and II together are sufficient, but neither statement alone is sufficient.
What is the measure of the diagonal of a rectangle?
I. The length of the rectangle is m.
II. The area of the rectangle is m2.
III. The breadth of the rectangle is m.

Directions : In each of the following questions, a question followed by two statements numbered I and II are given. You have to read both the statements are then
Give answer
(1) If the data given in statement A alone are sufficient to answer the question whereas the data given in statement B alone are not sufficient to answer the question
(2) If the data given in statement B alone are sufficient to answer the question whereas the data given in statement A alone are not sufficient to answer the question
(3) If the data in either statement A alone or in statement B alone are sufficient to answer the question
(4) If the data in both the statements A and B are not sufficient to answer the question.
(5) If the data given in both the statement A and B are necessary to answer the question
What is the number?
A. The sum of the two digits is . The ratio of the two digits is
B. The product of two digits of a number is The quotient of two digits is
