Question

the solider of a regiment are made to stand in hollow (empty in middle) square 5 deep .but when they are placed in hollow square 6 deep then number of speoy decrease by front 4 in front line. what is total number of soliders?​

Answer 1

Answer:

You obviously know that the number of soldiers must be a multiple of 10, 15 and 25.( Only then, can they be drawn into lines of 10, 15 or 25).

So now the possibilities are multiples of 150 ( LCM of 10,15,25). ( 150 = 2*3*5*5

As 10 is present and your final answer needs to be a perfect square, you need another factor of 2.

Also as 15 is present you need a factor of 3.

Therefore you multiply 150 by 2 and 3 to get 900 which is your answer.

900 = 2^2 *3^2*5^2

Step-by-step explanation: