QUESTION

CSAT

Medium

Reasoning

Prelims 2020

A is 16th from the left end in a row of boys and V is 18th from the right end. G is 11th from A towards the right and 3rd from V towards the right end. How many boys are there in the row?

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Explanation

The position of A is 16th from the left end, the position of V is 18th from the right end, and the position of G is 11th from A towards the right and 3rd from V towards the right.

Now, we consider two possible cases:

Positions of A,V and G

Case I: A is to the right of V This case is not possible, because it is given that G is 11th to the right of A. If A is to the right of V and G is further 11 positions to the right of A, then G must be at least 12 positions to the right of V. But according to the question, G is only 3 positions to the right of V.

Case II: A is to the left of V

G is 3rd from V towards the right, so the position of G from the right end is $18-3=15$ th from the right. G is 11th from A towards the right, so the position of G from the left end is $16+11=27$ th from the left. Thus, the total number of boys in the row is $27+15-1=41$ (subtracting 1 because G has been counted twice).