In an exhibition, seven brands have put up their stalls in horizontal line and facing in same direction. The seven brands that have put up a stall include: A, B, L, P, R, T and Z. L, which is third to the left of B, is at one end. A is between B and Z. T is to the immediate right of R. R is fourth to the right of L. Which brand is displayed to the immediate right of T?
- AP
- BA
- CR
- DB
Solution & Step-by-step Explanation
Let's determine the relative positions of the 7 stalls from left to right (Positions 1 to 7):
"L is at one end" and "L is third to the left of B". This implies L must be at the extreme left end (Position 1).
Position 1 = L
"L is third to the left of B" → B is at Position 4 (1+3=4).
Position 4 = B
"R is fourth to the right of L" → R is at Position 5 (1+4=5).
Position 5 = R
"T is to the immediate right of R" → T is at Position 6.
Position 6 = T
"A is between B and Z". Since B is at Position 4 and R is at Position 5, Z and A must be placed to the left or right? Wait, if B is at 4, A could be at 3 and Z at 2. Let's verify:
If Position 3 = A and Position 2 = Z, then A is between B(4) and Z(2). This fits perfectly.
Now we have positions filled: 1=L, 2=Z, 3=A, 4=B, 5=R, 6=T.
The only remaining brand is P, which goes into Position 7.
Position 7 = P
The completed sequence is:
L→Z→A→B→R→T→P
The brand displayed to the immediate right of T is P.
"L is at one end" and "L is third to the left of B". This implies L must be at the extreme left end (Position 1).
Position 1 = L
"L is third to the left of B" → B is at Position 4 (1+3=4).
Position 4 = B
"R is fourth to the right of L" → R is at Position 5 (1+4=5).
Position 5 = R
"T is to the immediate right of R" → T is at Position 6.
Position 6 = T
"A is between B and Z". Since B is at Position 4 and R is at Position 5, Z and A must be placed to the left or right? Wait, if B is at 4, A could be at 3 and Z at 2. Let's verify:
If Position 3 = A and Position 2 = Z, then A is between B(4) and Z(2). This fits perfectly.
Now we have positions filled: 1=L, 2=Z, 3=A, 4=B, 5=R, 6=T.
The only remaining brand is P, which goes into Position 7.
Position 7 = P
The completed sequence is:
L→Z→A→B→R→T→P
The brand displayed to the immediate right of T is P.