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Two bells ring at intervals of 4 minutes and 6 minutes. If they ring together now, after how many minutes will they ring together again?

Class 6Playing with NumbersPlaying with Numbers
  • A11
  • B12
  • C13
  • D24

Step-by-Step Solution

They ring together at the LCM of 4 and 6. LCM(4, 6) = 12, so they ring together again after 12 minutes.
Answer: B) 12

Key idea: Factors come in pairs

To find every factor of a number, walk up from 1 and check each whole number — if it divides the number with no remainder, it is a factor. Factors come in **pairs**: if 4 is a factor of 12, so is 12 ÷ 4 = 3. So you only need to check up to the square root of the number to find them all. Factors of 12: — six factors total: 1, 2, 3, 4, 6, 12. Every number has 1 and itself as factors.

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