Data Sufficiency

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

Statements:

There are 47 students in the class.
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

Answer: C

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.

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Question: How many visitors saw the exhibition yesterday ?

Statements:

Each entry pass holder can take up to three persons with him/her.
In all, 243 passes were sold yesterday.

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 and II, we find that maximum (243 x 3) i.e. 729 visitors saw the exhibition.

But the exact number cannot be determined.

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Question: What is the numerical code for 'water' in a certain code ?

Statements:

The code for 'give me water' is '719'.
The code for 'you can bring water for me' is written as '574186'.

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

In I and II, the common words are 'me' and 'water' and the common code numbers are '7' and '1'. So, the code for 'water' is either '7' or '1'.

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Question: Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good' ?

Statements:

In the same code language, 'co mot det' means 'They are good'.
In the same code language, 'sin mic bye' means 'He is honest'.

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

In the given statement and I, the common word is 'good' and the common code word is 'co'. So, 'co' is the code for 'good'.

In the given statement and II, the common words are 'He' and 'is' and the common code words are 'sin' and 'bye'. So 'sin' and 'bye' are the codes for 'He' and 'is'. Thus, in the given statement, 'co' is the code for 'good'.

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Question: Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights ?

Statements:

V is taller than Q but shorter than M.
T is taller than Q and M but shorter than 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

Answer: E

From I, we have: M > V > Q.

From II, we have: T > Q, T > M, P > T.

Combining the above two, we have: P>T>M>V>Q i.e. Q<><><><><>

Clearly, M is in the middle.

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Questions for: Data Sufficiency