Data Sufficiency

Question: On a T.V. channel, four serials A, B, C and D were screened, one on eacn day, on four consecutive days but not necessarily in that order. On which day was the serial C screened ?

Statements:

The first serial was screened on 23rd, Tuesday and was followed by serial D.
Serial A was not screened on 25th and one serial was screened between serials A and B.

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 know that the serials were screened on 23rd, 24th, 25th and 26th.

Clearly, D was screened second i.e. on 24th, Wednesday.

From II, we know that one serial was screened between A and B.

So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th.

So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.

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Question: Who is C's partner in a game of cards involving four players A, B, C and D ?

Statements:

D is sitting opposite to A.
B is sitting right of A and left of 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

Answer: C

Clearly, each of the given statements shows that B is sitting opposite to C or B is the partner of C.

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Question: How many students in a class play football ?

Statements:

Only boys play football.
There are forty boys and thirty girls in the class.

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

It is not mentioned whether all the boys or a proportion of them play football.

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Question: Which word in the code language means 'flower' ?

Statements:

'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.
'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.

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 the two statements given in I, the code for the only common word 'beautiful' can be determined.

From the two statements given in II, the code for the only common word 'red' can be determined.

In I and II, the common words are 'rose and 'flower' and the common code words are 'de' and 'la'. So, the code for 'flower' is either 'de' or 'la'.

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Question: Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights ?

Statements:

B is heavier than T and C and is less heavier than V who is not the heaviest.
C is heavier than only T.

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: B > T, B > C, V > B. Thus, V is heavier than each one of B, T and C. But V is not the heaviest. So, E is the heaviest.

Thus, we have the order. E>V>B>T>C or E>V>B>C>T. Clearly, B is third from the top.

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Questions for: Data Sufficiency