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A teacher wrote a large number on a board and asked the students to tell about the divisors of the number one by one. The 1st said, divisible by 2, the 2nd said by 3, the 3rd said by 4 and so on the 30th said the number is divisible by 31. The teacher then commented that exactly 2 students were wrong, who spoke consecutively. Which 2 students were wrong? Explain your answer with appropriate justification.

Answer»

A teacher wrote a large number on a board and asked the students to tell about the divisors of the number one by one.

The 1st said, divisible by 2, the 2nd said by 3, the 3rd said by 4 and so on the 30th said the number is divisible by 31.

The teacher then commented that exactly 2 students were wrong, who spoke consecutively.

Which 2 students were wrong? Explain your answer with appropriate justification.



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