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    Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 580

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

DM - Grand Test -Q3


Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
+2 votes

Let the symbol \bigoplus_{m} represents the addition modulo m and \bigotimes_{n} represents the \text{modulo\text{ }multiplication} n Consider the following sets and binary operation defined on them. Which of the following is not a Group

(A) \{1, 2, 3, 4, 5, 6\} under \bigotimes_{7}

(B) \{0, 1, 2, 3, 4, 5, 6\} under \bigoplus_{7}

(C) \{1,3,7,9\} under \bigotimes_{10}

(D) \{1, 2, 3, 4,5\} under  \bigotimes_{6}

asked Aug 30, 2020 by gbeditor-2 (72,840 points)
edited Sep 8, 2020 by deepak-gatebook

1 Answer

+1 vote
 
Best answer

Option D is correct answer.

\{1, 2, 3, 4,5\} under \bigotimes_{6} is Not a group.

Check 2,3.

\bigotimes_{6}  3 is Not in the given set. So it is Not closed.

 

answered Sep 8, 2020 by deepak-gatebook (226,240 points)
edited Sep 8, 2020 by deepak-gatebook
AMAZING QUESTION. :)
Answer:

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177

Warning: count(): Parameter must be an array or an object that implements Countable in /home/customer/www/thegatebook.in/public_html/qa/qa-include/qa-theme-base.php on line 177
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