# Verbal Reasoning - Data Sufficiency

### Exercise :: Data Sufficiency - Section 2

In 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

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

6.

Question: Gaurav ranks eighteenth from the top in a class. What is his rank from the last?

Statements:

1. There are 47 students in the class.
2. Jatin who ranks 10th in the same class, ranks 38th from the last.

 A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient

Explanation:

From I, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last.

From II, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class.

So, Gaurav who ranks 18th from the top, is 30th from the last.

7.

Question: What is the rank of P from the bottom in a class of 30 students ?

Statements:

1. M is third from the top and there are five students between M and P.
2. The rank of K is fourth from the bottom and there are 17 students between K and P.

 A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient

Explanation:

From I, we conclude that P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom.

From II, we conclude that P is 22nd from the bottom.

8.

Question: In a row of five buildings - P, Q, R, S and T, which building is in the middle ?

Statements:

1. Buildings S and Q are at the two extreme ends of the row.
2. Building ,T is to the right of building R.

 A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient

Explanation:

From I, we have the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.

9.

Question: How many speeches were delivered in the two days' programme ?

Statements:

1. 18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come.
2. One-third of the speakers gave two speeches each.

 A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient

Explanation:

From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15.

From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech.

So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.

10.

Question: Among five friends, who is the tallest ?

Statements:

1. D is taller than A and C.
2. B is shorter than E but taller than D.

 A. I alone is sufficient while II alone is not sufficient B. II alone is sufficient while I alone is not sufficient C. Either I or II is sufficient D. Neither I nor II is sufficient E. Both I and II are sufficient

Explanation:

From I, we have: D > A, D > C.

From II, we have: E > B > D.

Combining the above two, we get :E > B > D > A > C or E > B > D >C > A.

Thus, E is the tallest.