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

Give 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 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.

26. 

Question: In a row of five children A, B, C, D and E, who is standing in the middle ?

Statements:

  1. D is to the immediate right of E and B is to the immediate left of E.
  2. B is at the extreme left of the, row.

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

Answer: Option E

Explanation:

From I, we have the order: B, E, D.

From II, B is at the extreme left of the row.

Thus, considering both I and II, we conclude that among the five children, D is the third and hence the middle child in the row.


27. 

Question: How many employees of Bank Z opted for VRS ?

Statements:

  1. 18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.
  2. 28% of the employees in the age-group of 51 to 56 and 17% of the employees in all other age-groups opted for VRS.

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

Answer: Option A

Explanation:

From I, we have: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237.

From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.


28. 

Question: Among M, N, D, P and K, who earns more than only the least earner among them ?

Statements:

  1. N earns more than M and P but less than only D.
  2. M earns more than P who earns less than K.

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

Answer: Option D

Explanation:

From I, we have: N > M, N > P, D > N. Thus, we have: D > N > M > P or D>N> P>M.

But, from II, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P.

Hence, either K or M earns more than only the least earner i.e. P.


29. 

Question: What is Sachin's rank from the top in a class of 25 students ?

Statements:

  1. Sachin ranks three ranks above Amit who ranks 18th from the bottom.
  2. Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom.

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

Answer: Option C

Explanation:

From I, We know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top.

Sachin is three ranks above Amit and so, Sachin ranks 5th from the top.

From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.


30. 

Question: It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur?

Statements:

  1. Buses for Ramnagar leave after every 30 minutes, till 10 p.m.
  2. Fifteen minutes ago, one bus has left for Ramnagar.

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

Answer: Option E

Explanation:

II reveals that the previous bus had left at 7.45 p.m. As given in I, the next bus would leave after 30 minutes i.e. at 8.15 p.m.