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the highest power of 2 by which the product of first hundred counting numbers can be divided without any remainder is 97 96 95 94

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The highest power of 2 by which the product of first 100 counting numbers can be divided without any remainder is

Q. The highest power of

2

by which the product of first

100

counting numbers can be divided without any remainder is

. . . . . . .

Q. Find the remainder when 96! is divided by 97.

Q. In a Class X Board examination, ten papers are distributed over five Groups of PCB, Mathematics, Social Science, Vernacular and English. Each of the ten papers is evaluated out of 100. The final score of a student is calculated in the following manner. First the Group Scores are obtained by averaging marks in the papers within the Group. The final score is the simple average of the Group Scores. The data for the top ten students are presented below. (Dipan’s score in English Paper II has been intentionally removed in the table).

Note: B or G against the name of a student respectively indicates whether the student is a boy or a girl.
Among the top ten students, how many boys scored at least 95 in at least one paper from each of the groups?

What is the remainder obtained when 96! is divided by 97 ?

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