In a row at a bus stop, A is 7th from the left and B is 9th from the right. They both interchange their positions. A becomes 11th from the left. How many people are there in the row?
(A) 18 (B) 19 (C) 20 (D) 21
Solution follows here:
(A) 18 (B) 19 (C) 20 (D) 21
Solution follows here:
Solution:
Initial positions:
A is 7th from
left and B is 9th from right and it is not clear about number of people between A and B
_ _ _ _ _ _ A ? B _ _ _ _ _ _ _ _
Positions
after interchange of A and B:
A
is 7th from left
_ _
_ _ _ _ B _
_ _ A
_ _ _
_ _ _
_ _
After
interchange of A and B positions, it is very clear that there are 19 people in
total.
"The Smarter Approach"
A's new position = B's old position
Let us concentrate on this position only.
"9th from right and 11th from left"
this means ---> 8 persons to the right and 10 persons to the left of that position.
Including that position, the total count = 8+10+1 = 19
Answer (B)
20 is the answer.
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