In this type of questions, generally, the ranks of a person-both from the top and from the bottom are mentioned and the total, number, of persons, is asked. However, this question is put in the form of a puzzle of interchanging seats by two persons.

1)

Richard is fifteenth from the front in a column of boys. There were thrice as many behind him as there were in front. How many boys are there between Richard and the seventh boy from the end of the column?


A) 33

B) 34

C) 35

D) Data inadequate

E) None of these

Answer:

Option C

Explanation:

 The number of boys in front of Richard = 14.

Number of boys behind Richard = (14 x B) = 42.

Total number of boys in the column = (14 + 1 + 42) = 57

In a column of 57 boys, the seventh boy from the end is clearly 51st from the start. Thus, we have to find the number of boys between the 15th and the 51st boy which is clearly 3b