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In a seminar the number of participants in Mathematics, Physics and Biology are 192, 240 and 168. Find the minimum number of rooms required if in each room same number of participants is to be seated and all of them being in the same subject.
  • a)
    20
  • b)
    25
  • c)
    28
  • d)
    30
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a seminar the number of participants in Mathematics, Physics and Bi...
Given,
Number of participants in Mathematics = 192
Number of participants in Physics = 240
Number of participants in Biology = 168

Let the number of rooms required be x and the number of participants in each room be y.
Then, total number of participants = xy

To find the minimum number of rooms required, we need to find the highest common factor (HCF) of the given numbers and divide the total number of participants by it.

HCF of 192, 240 and 168 = 24

Total number of participants = 192 + 240 + 168 = 600

Number of participants in each room = xy = 24y (as HCF is 24)

∴ Number of rooms required = 600/24y = 25y

Thus, the minimum number of rooms required is 25.

Therefore, the correct answer is option (B) 25.
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Community Answer
In a seminar the number of participants in Mathematics, Physics and Bi...
HCF of (192, 240, 168) = 2 × 2 × 2 × 3 = 24
Number of rooms for participants in Mathematics, Physics and Biology respectively is= 192/24 = 8, 240/24 = 10 and 168/24 = 7
∴ Total minimum number of required rooms = 25
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In a seminar the number of participants in Mathematics, Physics and Biology are 192, 240 and 168. Find the minimum number of rooms required if in each room same number of participants is to be seated and all of them being in the same subject.a)20b)25c)28d)30Correct answer is option 'B'. Can you explain this answer?
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