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# Data Sufficiency

1.

Of what is an investment decision an example?

Investments are risk bearing and, therefore, are a non-programmed decision.

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2.

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

Statements:

1. Vipul is younger than Mukul but older than Siddhartha and Nikunj.

2. Mukul is the oldest.

3. Siddhartha is older than Nikunj.

From 1, we have: M > V, V > S, V > N ...(i)

From 2, we have: Mukul is the oldest ...(ii)

From 3, 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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3.

In which year was Sanjay born ?

Statements:

1. Sanjay is six years older than Gopal.

2. Gopal's brother was born in 1982.

3. Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.

From 2, we know that Copal's brother was born in 1982.

From 3, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.

From 1, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.

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4.

How is 'DATE' written in the code language ?

Statements:

1. DEAR is written as $#@? in that code. 2. TREAT is written as %?#@% in that code. 3. TEAR is written as %#@? in that code, Answer: D Observing 1, 2 and 3, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding. Thus, to find the code for DATE, we need the code for D which can be obtained from 1 only (i.e.$.) and the codes for A, T and E which can be obtained either from 2 or 3 (@, # and % respectively).

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5.

Five persons - A, B, C, D and E are sitting in a row. Who is sitting in the middle?

Statements:

1. B is between E and C.

2. B is to the right of E.

3. D is between A and E.

From 1, the order is : E, B, C or C, B, E.

From 2, the order is : E, B.

From 3, the order is : A, D, E.

Combining the above three, we get the order as : A, D, E, B, C. Clearly, E is sitting in the middle.