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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 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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DM - Grand Test -Q20


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+1 vote

Let G be a group with subgroups H and K. If |G| = 660; |K| = 66 and K\subset H\subset G. What is the maximum possible value of |H|?

asked Aug 30, 2020 by gbeditor-2 (72,840 points)
reshown Aug 31, 2020 by gbeditor-2

1 Answer

0 votes
 
Best answer
Order of subgroup H of G divides order of G. So, Order of K divides Order of H and order of H divides order of G. So, answer is 330.
answered Sep 3, 2020 by deepak-gatebook (226,240 points)
Answer:

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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 177

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