Question

an army general arrange his soldier in such a way that the number of row is the same as the number of column In doing so, he fing that 55 soldiers are left out. if the total number of soldier in 6455, find the number of soldier in each row

Answer 1

No.of soldiers in the arrangement are 6455-55=6400
So no.of soldiers in each row =√6400=80 soldiers

Answer 2

ANSWER

we have to find the HCF of 616 and 32

HCF (616,32) is the maximum number of columns in which they can march.

Step 1: First find which integer is larger.

616>32

Step 2: Then apply the Euclid's division algorithm to 616 and 32 to obtain

616=32×19+8

Repeat the above step until you will get remainder as zero.

Step 3: Now consider the divisor 32 and the remainder 8, and apply the division lemma to get

32=8×4+0

Since the remainder is zero, we cannot proceed further.

Step 4: Hence the divisor at the last process is 8

So, the H.C.F. of 616 and 32 is 8.

Therefore, 8 is the maximum number of columns in which they can march.