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Select the correct answerIn a class of students, if 1 is absent rest of people can be divided into 6 equal parts and if 2 are absent rest of them are divided into 7 equal parts, how many students are present in the class ?Options28573719

Question

Select the correct answerIn a class of students, if 1 is absent rest of people can be divided into 6 equal parts and if 2 are absent rest of them are divided into 7 equal parts, how many students are present in the class ?Options28573719

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Solution

To solve this problem, we need to find a number that when decreased by 1 can be divided evenly by 6 and when decreased by 2 can be divided evenly by 7.

Step 1: Start with the first option, 28.

  • 28 - 1 = 27, which is not divisible by 6.
  • 28 - 2 = 26, which is not divisible by 7.

So, 28 is not the correct answer.

Step 2: Move to the next option, 57.

  • 57 - 1 = 56, which is divisible by 6.
  • 57 - 2 = 55, which is not divisible by 7.

So, 57 is not the correct answer.

Step 3: Move to the next option, 37.

  • 37 - 1 = 36, which is divisible by 6.
  • 37 - 2 = 35, which is divisible by 7.

So, 37 is the correct answer.

Therefore, there are 37 students present in the class.

This problem has been solved

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