Question

Seven people, E, F, G, H, X, Y and Z, are sitting in a row, facing north. Only two people sit between E and Y. Only F sits to the right of Z. Only one person sits between Y and Z. G sits at some place to the right of X but at some place to the left of H. How many people sit between H and X?

• A. Four
• B. Two
• C. One
• D. Three

Answer 1

Answer:

B. Two

There are 2 people sitting between H and X.

Let's place the 7 seats in a row from left to right (numbered 1 to 7):

1. "Only F sits to the right of Z":

   • This means Z must be in the second-to-last seat, and F is at the very end.

   • Arrangement: _ _ _ _ _ Z F

2. "Only one person sits between Y and Z":

   • Leaving one empty space to the left of Z places Y in seat 4.

   • Arrangement: _ _ _ Y _ Z F

3. "Only two people sit between E and Y":

   • Counting two spaces to the left of Y places E in the very first seat.

   • Arrangement: E _ _ Y _ Z F

4. "G sits at some place to the right of X but at some place to the left of H":

   • The remaining empty slots are seats 2, 3, and 5.

   • For G to be to the right of X but to the left of H, they must be in the order X $\rightarrow G \rightarrow$ H.

   • Final Arrangement: E (1) $\rightarrow$ X (2) $\rightarrow$ G (3) $\rightarrow$ Y (4) $\rightarrow$ H (5) $\rightarrow$ Z (6) $\rightarrow$ F (7)

Looking at the final row, the people sitting between H (seat 5) and X (seat 2) are G and Y.