UP TGT Mathematics Set Theory Test Series - Part 1
Which of the following numbers CANNOT be the order of a subgroup of a group of order 40?
Type: MCQ • Marks: 1
Which of the following numbers CANNOT be the order of a subgroup of a group of order 40?
Options
A. 8
B. 5
C. 10
D. 6
Explanation
Correct Answer: Option 4 (6). Lagrange's Theorem states that for any finite group G, the order of every subgroup H divides the order of G (|G| = |H| * [G : H]). Hence element orders also divide |G|.
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