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Previous Year Questions

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Question :

Each of the questions below consists of a question and 3 statements. You have to decide whether the data provided in the statements are sufficient to answer the question.

Seven friends - P, Q, R, S, T, U and V are living in a seven-storey building in which the topmost floor is numbered seven and the lowermost floor is numbered one. S lives immediately above Q. Who lives immediately above V?

Statement 1: Three persons live between T and Q. Two persons live between S and V. More than two persons live between U and R.

Statement 2: Two persons live between P and T. Q lives immediately above P. Two persons live between Q and R.

Statement 3: Four persons live between S and T. Three persons live between U and V. R lives immediately below V. Not more than two persons live between Q and V.

1. If the data in statement 1 alone is sufficient to answer the question

2. If the data in statement 1 and either 3 or 2 together are sufficient to answer the question

3. If the data in statement 3 alone is sufficient to answer the question

4. Other than the given options

5. If the data in statement 2 and either 1 or 3 together are sufficient to answer the question

Correct Answer : 4
Solution :

From statement 1:

Three persons live between T and Q. Two persons live between S and V. More than two persons live between U and R.

Case 1Case 2Case 3
FloorPersonPersonPerson
7TS
6QS
5Q
4SV
3QV
2T
1VT

There were more possibilities

So, statement 1 alone is not sufficient to answer the question

From statement 3:

Four persons live between S and T. Three persons live between U and V. R lives immediately below V. Not more than two persons live between Q and V.

Case 1Case 2Case 3
FloorPersonPersonPerson
7SUT
6QS
5VQ
4Rp
3PV
2TRS
1UTQ

Case 3 is invalid.

From case 1, Q lives immediately above V

From case 2, P lives immediately above V

So, statement 3 alone is not sufficient to answer the question

From statement 1 and statement 2:

Three persons live between T and Q. Two persons live between S and V. More than two persons live between U and R. Two persons live between P and T. Q lives immediately above P. Two persons live between Q and R.

Case 1Case 2
FloorPersonPerson
7SU
6QS
5pQ
4Vp
3RV
2TR
1UT

From the above cases, P lives immediately above V.

So, statement 1 and statement 2 together are sufficient to answer the question

From statement 2 and statement 3:

Two persons live between P and T. Q lives immediately above P. Two persons live between Q and R. Four persons live between S and T. Three persons live between U and V. R lives immediately below V. Not more than two persons live between Q and V.

FloorPerson
7U
6S
5Q
4p
3V
2R
1T

P lives immediately above V

So, statement 2 and 3 together are sufficient to answer the question

From statement 1 and statement 3:

Using 'Two persons live between S and V' in statement 3, we get

Case 1Case 2
FloorPersonPerson
7SU
6QS
5VQ
4Rp
3PV
2TR
1UT

Case 1 is invalid

From case 2, P lives immediately above V

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