Math, asked by adidevjj, 5 months ago

Indian Army is the third
biggest military contingent
in the World next to USA
and China. On 71th republic day Parade in Delhi Captain R.S
Meel is planning for parade of the following two groups:
(a) First group of Army contingent of 624 members behind an
army band of 32 members. (b) Second group of CRPF troops
with 468 soldiers behind the 228 members of bikers. Thesetwo groups are to march in the same number of columns. This
sequence of soldiers is followed by different states Jhanki
(Tableau) which are showing the culture of the respective
states.
(a) What is the maximum number of columns in which the army
troop can march?
(i) 8 (ii) 16 (iii) 4 (iv) 32
(b) What is the maximum number of columns in which the CRPF
troop can march?
(i) 4 (ii) 8 (iii) 12 (iv) 16
(c) What is the maximum number of columns in which total
army troop and CRPF troop together can march past?
(i) 2 (ii) 4 (iii) 6 (iv) 8
(d) What should be subtracted from the number of CRPF
soldiers and the number of bikers so that their maximum
number of column is equal to the maximum number of
column of army troop?
(i) 4 Soldiers and 4 Bikers (ii) 4 Soldiers and 2 Bikers
(iii) 2 Soldiers and 4 Bikers (iv) 2 Soldiers and 2 Bikers
(e) What should be added to the number of CRPF soldiers and
the number of bikers so that their maximum number of
column is equal to the maximum number of column of army
troop?
(i) 4 Soldiers and 4 Bikers (ii) 12 Soldiers and 12 Bikers
(iii) 6 Soldiers and 6 Bikers (iv) 12 Soldiers and 6 Bikers

Answers

Answered by amitnrw

Given :

Army contingent of 624 members behind an army band of 32 members.

CRPF troops with 468 soldiers behind the 228 members of bikers.

To Find : maximum number of columns in which the army troop can march?

maximum number of columns in which the CRPF troop can march?

maximum number of columns in which total army troop and CRPF troop together can march past?

(iv) What should be subtracted with the numbers of CRPF soldiers and the number of bikers so that their maximum number of column is equal to the maximum number of column of army troop?

(v) What should be added with the numbers of CRPF soldiers and the number of bikers so that their maximum number of column is equal to the maximum number of column of army troop?

Solution:

army troop

624

HCF of 624 and 32

624 = 32 x 19 + 16

32 = 16 x 2 + 0

16 is the HCF

maximum number of columns in which the army troop can march = 16

CRPF troop

468

228

HCF

468 = 228 x 2 + 12

228 = 19 x 12 + 0

12 is the HCF

maximum number of columns in which the CRPF troop can march = 4

HCF of 12 and 16

16 = 12 x 1 + 4

12 = 4 x 3 + 0

4 is HCF

maximum number of columns in which total army troop and CRPF troop together can march = 4

468 = 16 x 29 + 4

228 = 16 x 14 + 4

Hence 4 numbers of CRPF soldiers and the number of bikers should be subtracted so that their maximum number of column is equal to the maximum number of column of army troop

(a) 4 Soldiers and 4 Bikers

468 = 16 x 30 - 12

228 = 16 x 15 - 12

Hence 12 numbers of CRPF soldiers and the number of bikers should be added so that their maximum number of column is equal to the maximum number of column of army troop

(b) 12 Soldiers and 12 Bikers

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Answered by parvatipatil662

Answer:

i.16

2.12

3.4

4.4 soldiers 4 bikers

5.12 soldiers 12 bikers

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