Engineering Mathematics · Discrete Mathematics

Official IIT answer key · IISc Bangalore · Audited Aug 2026

GATE CSE 2024 Set 2 Q63 · NAT · 2 marks

Let $Z_n$ be the group of integers $\{0, 1, 2, \dots, n - 1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_2 \times Z_3 \times Z_4$ that are their own inverses is _________

Numerical answer

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Key concept

Discrete Mathematics

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Examiner trap & misconception

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How GATE tests Discrete Mathematics

In GATE Computer Science, Discrete Mathematics is heavily tested across mathematical logic, set theory, relations & partial orders/lattices, group theory, combinatorics, and graph theory. Questions evaluate formal reasoning, counterexample construction, and structural counting principles. Over recent years, question formats have transitioned from standard single-choice definitions to multi-select properties (MSQs) and exact integer/combinatorial numerical answers (NATs).

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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.

Engineering Mathematics · Discrete Mathematics

Official IIT answer key · IISc Bangalore · Audited Aug 2026

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GATE CSE 2024 Set 2 Q63 · NAT · 2 marks

Let $Z_n$ be the group of integers $\{0, 1, 2, \dots, n - 1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_2 \times Z_3 \times Z_4$ that are their own inverses is _________

Numerical answer

Enter a value to check

Key concept

Discrete Mathematics

Step-by-step verified solution

Examiner trap & misconception

Topic notes

How GATE tests Discrete Mathematics

Full Discrete Mathematics guide →

More on Discrete Mathematics

All 50 questions on Discrete Mathematics →

Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.

Let $Z_n$ be the group of integers $\{0, 1, 2, \dots, n - 1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_2 \times Z_3 \times Z_4$ that are their own inverses is _________

Step-by-step verified solution

Check you can still solve Discrete Mathematics under a clock

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More on Discrete Mathematics

Let $Z_n$ be the group of integers $\{0, 1, 2, \dots, n - 1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_2 \times Z_3 \times Z_4$ that are their own inverses is _________

Step-by-step verified solution

Check you can still solve Discrete Mathematics under a clock

More from GATE CSE 2024 Set 2

More on Discrete Mathematics

Let ZnZ_nZn​ be the group of integers {0,1,2,…,n−1}\{0, 1, 2, \dots, n - 1\}{0,1,2,…,n−1} with addition modulo nnn as the group operation. The number of elements in the group Z2×Z3×Z4Z_2 \times Z_3 \times Z_4Z2​×Z3​×Z4​ that are their own inverses is _________

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Check you can still solve Discrete Mathematics under a clock

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Let ZnZ_nZn​ be the group of integers {0,1,2,…,n−1}\{0, 1, 2, \dots, n - 1\}{0,1,2,…,n−1} with addition modulo nnn as the group operation. The number of elements in the group Z2×Z3×Z4Z_2 \times Z_3 \times Z_4Z2​×Z3​×Z4​ that are their own inverses is _________

Step-by-step verified solution

Check you can still solve Discrete Mathematics under a clock

More from GATE CSE 2024 Set 2

More on Discrete Mathematics

Share this solution

Let $Z_n$ be the group of integers $\{0, 1, 2, \dots, n - 1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_2 \times Z_3 \times Z_4$ that are their own inverses is _________

Let $Z_n$ be the group of integers $\{0, 1, 2, \dots, n - 1\}$ with addition modulo $n$ as the group operation. The number of elements in the group $Z_2 \times Z_3 \times Z_4$ that are their own inverses is _________