Let $G$ be a group of 35 elements. Then the largest possible size of a subgroup of $G$ other than $G$ itself is
7

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Solution

The correct option is A 7
Size of group $= O (G) = 35$
Lagranges theorem says if $H$ is subgroup of $G$ then $O (H) | O (G)$
So $O (H)$ can be 1, 5, 7 or 35
So largest subgroup size other than $G$ itself is 7.

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Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other than G itself is7

The correct option is A 7Size of group =O(G)=35 Lagranges theorem says if H is subgroup of G then O(H)|O(G) So O(H) can be 1, 5, 7 or 35 So largest subgroup size other than G itself is 7.

Let $G$ be a group of 35 elements. Then the largest possible size of a subgroup of $G$ other than $G$ itself is
7

The correct option is A 7
Size of group $= O (G) = 35$
Lagranges theorem says if $H$ is subgroup of $G$ then $O (H) | O (G)$
So $O (H)$ can be 1, 5, 7 or 35
So largest subgroup size other than $G$ itself is 7.