Ten people A, B, C, D, E, F, G, H, I and J live on ten different floors of a building such that the lowermost floor is numbered one, the floor above it is numbered two and so on such that the topmost floor is numbered 10 but not necessarily in the same order. J lives on an even numbered floor but not on floor 2 or 4. C lives immediately below J. Only four people live between C and B. E lives on one of the floors above C but below B. H lives between J and G. Only two people lives below F. There are as many people between F and C as between B and G. I lives two floors below D. Who among the following lives on floor 1?

Question

Ten people A, B, C, D, E, F, G, H, I and J live on ten different floors of a building such that the lowermost floor is numbered one, the floor above it is numbered two and so on such that the topmost floor is numbered 10 but not necessarily in the same order. J lives on an even numbered floor but not on floor 2 or 4. C lives immediately below J. Only four people live between C and B. E lives on one of the floors above C but below B. H lives between J and G. Only two people lives below F. There are as many people between F and C as between B and G. I lives two floors below D. Who among the following lives on floor 1?

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LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : A

People: A, B, C, D, E, F, G, H, I and J

1. J lives on an even numbered floor but not on floor 2 or 4.

2. C lives immediately below J.

3. Only four people live between C and B.

Floor	People
Floor	Case I	Case II	Case III
10	J		B
9	C
8		J
7		C
6			J
5			C
4	J B	J	J
3		B
2	J	J	J
1

4. E lives on one of the floors above C but below B.

(Hence, Case I and II is eliminated as it violates the above statement.)

5. Only two people live below F.

6. There are as many people between F and C as between B and G.

Floors	People
10	B
9	E/
8	G
7	E/
6	J
5	C
4	J
3	F
2	J
1

6. There are as many people between F and C as between B and G.

Floors	People
10	B
9	E/
8	G
7	E/
6	J
5	C
4	J
3	F
2	J
1

7. H lives between J and G.

8. I lives two floors below D.

(According to the given statement, I must live on floor 2 and D on floor 4.)

Floor	People
10	B
9	E
8	G
7	H
6	J
5	C
4	D
3	F
2	I
1

Only one person A is left and only one floor 1 is left unoccupied.

Floor	People
10	B
9	E
8	G
7	H
6	J
5	C
4	D
3	F
2	I
1	A

Hence, A lives on floor 1.