Data Sufficiency

Question: How many girls are taller than Shravan in his class ?

Statements:

When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.

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

Answer: A

From I, we conclude that there are 16 students and 11 boys taller than Shravan.

This implies that there are 5 girls taller than Shravan.

In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.

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

Statements:

Buses for Ramnagar leave after every 30 minutes, till 10 p.m.
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

Answer: E

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.

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

Statements:

Sachin ranks three ranks above Amit who ranks 18th from the bottom.
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

Answer: C

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.

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

Statements:

N earns more than M and P but less than only D.
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

Answer: D

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.

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

Statements:

18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.
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

Answer: A

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.

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Questions for: Data Sufficiency