Topic Question Set
Q 11
:
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:
(iii) (a) What minimum number should be subtracted from the number of CRPF soldiers and the number of bikers so that their maximum number of columns is equal to the maximum number of columns of army troops?
(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.
2
1
4
6
(3)
(a) We have 468 = 29 × 16 + 4 and 228 = 14 × 16 + 4.
After subtracting 4, we get 464 = 29 × 16 and 224 = 14 × 16.
∴ HCF = 2? = 16
Hence, 4 is subtracted from CRPF soldiers and bikers each.
Q 12
:
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:
(iii) (b) What minimum number should be added to the number of CRPF soldiers and the number of bikers so that their maximum number of columns is equal to the maximum number of columns of army troops?
(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.
28 soldiers and 28 bikers
20 soldiers and 25 bikers
18 soldiers and 28 bikers
28 soldiers and 16 bikers
(1)
We have 496 = 16 × 31 = 2? × 31 and 256 = 2?.
∴ HCF (496, 256) = 2? = 16
Hence, 28 soldiers and 28 bikers should be added.
