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Data Sufficiency

Important Instructions
11.

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

Statements:

1. V is taller than Q but shorter than M.

2. T is taller than Q and M but shorter than P.

Answer: D

From 1, we have: M > V > Q.

From 2, 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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Answer: D

From 1 and 2, we conclude that A is either son or daughter of D.

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13.

What is the shortest distance between Devipur and Durgapur ?

Statements:

1. Durgapur is 20 kms away from Rampur.

2. Devipur is 15 kms away from Rampur.

Answer: D

Clearly, the distance of each village from Rampur is given in 1 and 2. But nothing about their relative positions is mentioned. So, the distance between the two villages cannot be calculated.

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14.

How much money do Vivek and Suman have together ?

Statements:

1. Suman has 20 rupees less than what Tarun has.

2. Vivek has 30 rupees more than what Tarun has.

Answer: D

From 1, we have: S = T - 20.

From 2, we have: V = T + 30.

Thus, from both 1 and 2, we have: V + S = (T + 30) + (T - 20) = (2 T + 10).

So, to get the required amount, we need to know the amount that Tarun has.

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15.

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:

1. T is not the shortest.

2. R is taller than S but shorter than Q.

3. P ranks third in height above S when all are arranged in the order of height.

Answer: B

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

From 2, we have the order: _, Q, R, S,__. Thus, R is in the middle.

From 3, 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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16.

On which date of the month was Anjali born in February 2004 ?

Statements:

1. Anjali was born on an even date of the month.

2. Anjali's birth date was a prime number.

Answer: D

From 1 and 2, we conclude that Anjali was born in February 2004 on a date which is an even prime number. Since the only even prime number is 2, so Anjali was born on 2nd February, 2004.

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17.

In a row of five children A, B, C, D and E, who is standing in the middle ?

Statements:

1. D is to the immediate right of E and B is to the immediate left of E.

2. B is at the extreme left of the, row.

Answer: D

From 1, we have the order: B, E, D.

From 2, B is at the extreme left of the row.

Thus, considering both 1 and 2, we conclude that among the five children, D is the third and hence the middle child in the row.

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18.

How is J related to P ?

Statements:

1. M is brother of P and T is sister of P.

2. P's mother is married to J's husband who has one son and two daughters.

Answer: B

From 2, we know that P's mother is married to J's husband, which means that J is P's mother.

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19.

On which day in April is Gautam's birthday?

Statements:

1. Gautam was born exactly 28 years after his mother was born.

2. His mother will be 55 years 4 months and 5 days on August 18 this year.

Answer: D

Clearly, the birthday of Gautam's mother can be found out from 2 and then Gautam's birthday can be determined using the fact given in 1.

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20.

What is the rank of P from the bottom in a class of 30 students ?

Statements:

1. M is third from the top and there are five students between M and P.

2. The rank of K is fourth from the bottom and there are 17 students between K and P.

Answer: C

From 1, we conclude that P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom.

From 2, we conclude that P is 22nd from the bottom.

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