officer arranges a soldier in such a way that the number of rows is the same as the number of columns in doing so find that 55 soldiers are left out if the total number of soldiers is 6455 find the number of soldiers in each row
Answers
Solution :
Total number of soldiers =6455=6455
Number of soldiers left out =55
Let the number of rows =x
Let the number of columns =x
Number of soldierd =6455−55=6455−55
=6400=6400
x2=6400x2=6400
x=6400−−−−√x=6400
x=80x=80
Number of columns and number of rows =80
Answer : 80
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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.