Data Sufficiency

Question: Four subjects - Physics, Chemistry, Mathematics and Biology - were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled ?

Statements:

Mathematics period ended at 10.00 a.m., which was preceded by Biology.
Physics was scheduled in the last period.
Mathematics period was immediately followed by Chemistry.

A:

Only I

B:

Either I only or II only

C:

Only II

D:

Only II and III

Answer: E

From I and II, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So, the Chemistry period began at 10.00 a.m.

From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.

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Question: Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights ?

Statements:

T is not the shortest.
R is taller than S but shorter than Q.
P ranks third in height above S when all are arranged in the order of height.

A:

Only I and II

B:

Either II only or I and III only

C:

Only II

D:

Only II and III

Answer: B

From the given statement, the descending order of heights is :__, Q,__, S,__.

From II, we have the order: _, Q, R, S,__. Thus, R is in the middle.

From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.

So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.

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Question: In a certain code, 'XYZ' means 'We are friends'. Which letter stands for 'We' ?

Statements:

'PYN' means 'They are classmates'.
'ZMS' means 'We love them'.
'PX' means 'Hello friends',

A:

Only II

B:

Only I and III

C:

All I, II and III

D:

Either I only or II only

Answer: E

To find the code for 'we', we need to have any of the following:

(i) 'We are friends' should have only 'We' common with another statement, as in II;

(ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only.

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Question: Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest?

Statements:

Vipul is younger than Mukul but older than Siddhartha and Nikunj.
Mukul is the oldest.
Siddhartha is older than Nikunj.

A:

Only I

B:

Only I and II

C:

Only II and III

D:

Only I and III

Answer: D

From I, we have: M > V, V > S, V > N ...(i)

From II, we have: Mukul is the oldest ...(ii)

From III, we have: S > N ...(iii)

Combining (i) and (iii), we get :M > V, V >S > N or M>V > S > N. Clearly, Nikunj is the youngest.

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Question: In which year was Sanjay born ?

Statements:

Sanjay is six years older than Gopal.
Gopal's brother was born in 1982.
Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.

A:

Only I and II

B:

Only II and III

C:

Only I and III

D:

All I, II and III

Answer: D

From II, we know that Copal's brother was born in 1982.

From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.

From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.

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Questions for: Data Sufficiency