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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?

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? Correct Answer 41

Position of A = 16th from left end

Position of V = 18th from right end

Position of G w.r.t. A = 11th towards the right end = 27th from the left end

Position of G w.r.t. V = 3rd towards the right end  = 15th from the right end

Case 1 :  V is between A and G

[ alt="F2 Sonali.S 19-02-21 Savita D10" src="//storage.googleapis.com/tb-img/production/21/02/F2_Sonali.S_19-02-21_Savita_D10.png" style="width: 318px; height: 123px;">

Therefore, G has 26 boys towards his left and 14 boys towards his right.

Total no. of boys = 26 + 1 + 14 = 41 ( 1 is added for G)

Case 2 : V is to the left of A

It is not possible because it is given that G is 11th from A towards the right. Then G must be at least 12 positions to the right of V. But according to the question G is only three positions to the right from V. 

Hence, 41 is the correct answer.

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