Question

21. Army day in India is celebrated with great enthusiasm every year
on 15th of January. It is celebrated every year at all the army
command headquarters and national capital by organizing army
parades including many other military shows. On Army Day an
army contingent of 200 members is to march behind an army
band of 168 members in a parade. The two groups are to march
in the same number of columns. What is the maximum number
of columns in which they can march?
Indian
Army
Day
​

Answer 1

Answer:

there are 200 army contingent member

and there is a band of 168 members

so maximum number of columns is the

HCF(200,168)=

200=2^3×5^2

168=2^3×3^1×7^1

HCF=2^3

HCF=8

there are 8 column in march

Answer 2

Answer:

The maximum number of columns in which the army contingent and band can march is 8, with 25 members in each column.

Step-by-step explanation:

To determine the maximum number of columns in which the army contingent and band can march, we need to find the highest common factor (HCF) of 200 and 168. We can use the prime factorization method to find the HCF.

The prime factorization of 200 is 2 x 2 x 2 x 5 x 5, and the prime factorization of 168 is 2 x 2 x 2 x 3 x 7. To find the HCF, we take the common factors from both sets of prime factors, which are 2 x 2 x 2 = 8.

Therefore, the maximum number of columns in which they can march is 8. The army contingent and band can march in 8 columns, with 25 members in each column (8 x 25 = 200 for the contingent, and 8 x 21 = 168 for the band). This will ensure that they march in the same number of columns while maintaining their respective group sizes.

In summary, the celebration of Indian Army Day on January 15th is marked by army parades and military shows at army command headquarters and the national capital.

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