Two Statements Based Data Sufficiency
Two Statements Based Data Sufficiency: Overview
This topic covers concepts such as Data Sufficiency, Anatomy of Data Sufficiency, Statements in Data Sufficiency, Sufficient Statements in Data Sufficiency, Insufficient Statements in Data Sufficiency, Data Sufficiency Decision Tree, etc.
Important Questions on Two Statements Based Data Sufficiency
The following 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. Read both the statements.
How many students are there between Suresh and Mohan in a row of students?
I. Suresh is twelfth from the left end and Mohan is seventeenth from the right end.
II. Suresh is six places away from Jayesh, who is twentieth from the left end.

In the question, two statements numbered A and B given below it. You have to decide whether the data provided in the statements are sufficient/necessary to answer the question. Read both the statements and give an answer.
(A) If the data in statement I alone is 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 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 the rate of compound interest on a sum of money?
A. The total compound interest at the end of is ₹ 820.
B. The total simple interest at the same rate on ₹ at the end of three years is ₹ .

In the following question, two statements numbered P and Q 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 P alone is sufficient to answer the question, while the data in statement Q alone is not sufficient to answer the question.
(B) If the data in statement Q alone is sufficient to answer the question, while the data in statement P alone is not sufficient to answer the question.
(C) If the data either in statement P alone or in statement Q alone is sufficient to answer the question.
(D) If the data in both the statement P and Q together are not sufficient to answer the question.
(E) If the data in both the statements P and Q together are necessary to answer the question.
A gold ring weighs . The ring is not pure gold but is mixed with copper. What is the value of the metal in the ring?
P. Gold is worth ₹ .
Q. of the ring is due to copper.

The following 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. Read both the statements.
Among M, P, K, J, T and W, who is lighter than only the heaviest?
I. P is heavier than M and T.
II. W is heavier than P but lighter than J, who is not the heaviest.

Direction: The 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.
In which direction Swaminath is facing?
I. In the morning Swaminath walks from his house km. and turns left and covers a distance of km.
II. At this time his shadow falls in his left.

The 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:
There were members of a cooperative society. How many members attended the recent Annual General Meeting (AGM)?
I. Normally two-thirds of members attend the meeting.
II. One-sixth of the members were out of the town on AGM's day.

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. Read both the statements and answer.
(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 the cube root of ?
l. The root of is .
ll. The root of is .

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 answer
(1) 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.
(2) 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.
(3) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
(4) if the data in both the Statements I and II together are not sufficient to answer the question.
(5) if the data in both the Statements I and II together are necessary to answer the question.
Is P the grandson of Q?
I. Q is the father of M. M is the sister of T. T is the mother of P.
II. S is the son of P. V is the daughter of P. R is the brother of T.

The following 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. Read both the statements.
How is "never" written in a code language?
I. "never ever go there" is written as "na ja ni ho" in that code language.
II. "go there and come back" is written as "ma ho sa ni da" in that code language.

In the question, two statements numbered A and B given below it. You have to decide whether the data provided in the statements are sufficient/necessary to answer the question. Read both the statements and give an answer.
(A) If the data in statement A alone is sufficient to answer the question, while the data in statement B alone is not sufficient to answer the question.
(B) If the data in statement A alone is sufficient to answer the question, while the data in statement B alone is not sufficient to answer the question.
(C) If the data either in statement A alone or in statement B alone is sufficient to answer the question.
(D) If the data in both the statement A and B together are not sufficient to answer the question.
(E) If the data in both the statements A and B together are necessary to answer the question.
What selling price should be marked on the article?
A. Discount of is to be given and the profit should be double the discount. Purchase cost is in the range of ₹ — ₹ .
B. discount is to be allowed and profit is to be obtained on the purchase cost of ₹ of the article.

The following 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. Read both the statements.
Who was the first person to board the train among P, Q, R, S and T?
I. Q boarded after P and T but not after S.
II. R was not the last person to board.

Study the following information carefully and answer the question given below:
A, B, C, D, E, F, G and H are eight persons working in three different departments viz. Operations, Sales and Finance of an organisation with at least two and not more than three in any department. They are in three different scales viz. I, II and III, with at least two in any one scale.
Both the employees in Operations departments are in Scale II. D works in Sales department and belongs to Scale I. A works in Finance departments and does not belong to Scale I. Two employees in Sales department belong to one scale. F works with only H in one of the departments. C works with E in one of the departments. B does not work with either C or A in the same department. G does not belong to Scale III. E does not belong to Scale I.
To which scale does G belong?

Direction: The 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.
How is related to ?
I. 's son is the only grandson of .
II. have only one child.

The following 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. Read both the statements.
How is Ambu related to the man in the photograph?
I. The man in the photograph is the only son of Ambu's grandfather.
II. The man in the photograph has no brothers or sisters and his father is Ambu's grandfather.

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 circumference of a semi-circle?
I. The radius of the semi-circle is .
II. The area of the semi-circle is .

Direction: The 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.
What is 's position with respect to ?
I. In a row of students, is sitting th from right end of row and is sitting th from left end of the row.
II. In a row of students is th from right end and is th from left end of the row.

Each of the questions below is followed by two statements I and II. You are to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answer. (a) If the statement I along is sufficient to answer the question but the statement II along is not sufficient.(b) If the statement II along is sufficient to answer the question but the statement I along is not sufficient(c) If both the statements I and II together are needed to answer the question (d) If either the statement I along or statement II along is sufficient to answer the question (e) If you cannot get the answer from the statements I and II together but need even more data
What is the three-digit number?
I. Three-fifth of that number is less than that number by 90.
II. One-fourth of that number is 25% of that number.

In the question, two statements numbered P and Q given below it. You have to decide whether the data provided in the statements are sufficient/necessary to answer the question. Read both the statements and give an answer.
(A) If the data in statement P alone is sufficient to answer the question, while the data in statement Q alone is not sufficient to answer the question.
(B) If the data in statement Q alone is sufficient to answer the question, while the data in statement P alone is not sufficient to answer the question.
(C) If the data either in statement P alone or in statement Q alone is sufficient to answer the question.
(D) If the data in both the statement P and Q together are not sufficient to answer the question.
(E) If the data in both the statements P and Q together are necessary to answer the question.
What was the speed of a running train ?
P. The relative speed of train A and another train running in the opposite direction is .
Q. Train crosses a signal post in .

In the following question, two statements numbered A and B 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 A alone is sufficient to answer the question, while the data in statement B alone is not sufficient to answer the question.
(B) If the data in statement B alone is sufficient to answer the question, while the data in statement A alone is not sufficient to answer the question.
(C) If the data either in statement A alone or in statement B alone is sufficient to answer the question.
(D) If the data in both the statement A and B together are not sufficient to answer the question.
(E) If the data in both the statements A and B together are necessary to answer the question.
Is a number divisible by ?
A. The number is divisible by .
B. The number is divisible by .

The following 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. Read both the statements.
How is X related to Y?
I. Y and Z are children of D who is the wife of X.
II. R's sister X is married to Y's father.
