ek school mei 6th class mei 2 section hei.wo do section A and B .A section mei ladka ladki 32 days ke beechei khel ayojon karte hein.B section k ladka ladki 36 days k beech mei khel ayojon karte hein.do section mei starting year we 1st day mei khelte hain.yaha pe chote din btaye jese dono section k khel ek din Mei hui ho.
Answers
Solution :-
Given : In a school, there are two section A and B in class 6.
Game played in section A after every interval of 32 days.
Game played in section B after every interval of 36 days.
To getting the day when the game played by both section in same day. Taking the LCM of 32 and 36 :
Prime factor of 32 and 36 :
32 = 2^5
36 = 2² × 3²
LCM of 30 and 36 = 2^5 × 3² = 288
Hence,
The game played by both section together in 288th day .
Question:
In a school there are two sections A and B of 6th STD (class). Girls of section A play game after every 32 days and Girls of section B play game after every 36 days. Find the day on which girls of both sections play together.
Solution:
Girls of section A play after = 32 days
Girls of section B play after = 36 days
__________ [GIVEN]
• We have to find the day on which girls of both sections play together
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To find the day on which girls of both sections play together. We have to find the LCM of both sections.
→ For section A
LCM of 32 :
2 × 2 × 2 × 2 × 2
→ For section B
LCM of 36
2 × 2 × 3 × 3
→ LCM for both A and B is
=> 2 × 2 × 2 × 2 × 2× 3 × 3
=> 288
_____________________________
After 288 days girls of both sections play together.
___________ [ANSWER]
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