Six friends, O, P, Q, G, H and I, live on six different floors of the same building. The
lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so
on, till the topmost floor, which is numbered 6.
Only one person lives above Q. P lives on an even-numbered floor but not on floor
number 4. Only two people live between P and H. Only two people live between Q and I.
O lives immediately below Q.
How many people live between G and O?
Correct Answer :
Two
Solution :
Correct Answer: Two
Let us step-by-step analyze the positions of the six friends (O, P, Q, G, H, and I) on the six floors, numbered 1 to 6 from bottom to top.
Step 1: Determine the position of Q and O
- "Only one person lives above Q."
Since there are 6 floors, the floor below the top floor (floor 6) is floor 5.
Therefore, Q lives on floor 5.
- "O lives immediately below Q."
Since Q is on floor 5, O lives on floor 4.
Step 2: Determine the position of I
- "Only two people live between Q and I."
Since Q is on floor 5, counting two floors down (floors 4 and 3) places I on floor 2.
Therefore, I lives on floor 2.
Step 3: Determine the positions of P and H
- "P lives on an even-numbered floor but not on floor number 4."
The even-numbered floors are 2, 4, and 6.
Floor 4 is occupied by O and floor 2 is occupied by I. Thus, P must live on floor 6.
- "Only two people live between P and H."
With P on floor 6, counting two floors down (floors 5 and 4) places H on floor 3.
Therefore, H lives on floor 3.
Step 4: Determine the position of G
- The remaining empty floor is floor 1.
Therefore, G lives on floor 1.
Floor Arrangement Summary:
Floor 6: P
Floor 5: Q
Floor 4: O
Floor 3: H
Floor 2: I
Floor 1: G
Final Step: Answer the question
We need to find how many people live between G (floor 1) and O (floor 4).
The people living on floors 2 and 3 are I and H, respectively.
Thus, exactly 2 people (I and H) live between G and O.
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