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Solution


Q.

The Indian Army is the third largest military force in the world, following the USA and China. However, there are numerous unique achievements that set the Indian Army apart globally, filling every Indian with pride. Learning about these distinctions will inspire you to celebrate Republic Day with even more enthusiasm and gratitude.

 

On the 71st Republic Day Parade in Delhi, Captain RS Meel is organizing the parade for the following two groups:
(a) The first group consists of an Army contingent with 624 members, marching behind an army band of 32 members.
(b) The second group comprises CRPF troops with 468 soldiers, marching behind 228 bikers. Both groups are to march in the same number of columns. Following this sequence of soldiers, various state tableaux will showcase the culture of their respective states.

Based on the above information, answer the following questions:

 

(ii) What is the maximum number of columns in which the CRPF troops can march
 
1 12  
2 11  
3 9  
4 10  

Ans.

(1)

For CRPF troops, the maximum number of columns in which they can march is the HCF of 468 and 228.

468 = 2² × 3² × 13 and 228 = 2² × 3 × 19

∴ HCF (468, 228) = 2² × 3 = 12

Thus, maximum number of columns = 12.