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Question

Which of the following pairs do not have the same number of classes in their crystal system ?

This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
Monoclinic - Triclinic

Crystal System Classes: Identifying Differences

Understanding the number of crystal classes associated with each crystal system is essential for solving this problem.

Crystal System Class Counts

The number of distinct crystal classes (point groups) for the relevant crystal systems are:

Crystal System Number of Classes
Cubic 3
Tetragonal 7
Orthorhombic 3
Monoclinic 3
Hexagonal 7
Triclinic 1

Comparing Class Numbers by Option

We analyze each given pair:

  • Option 1: Cubic (3 classes) compared to Tetragonal (7 classes). These counts are different.
  • Option 2: Monoclinic (3 classes) compared to Orthorhombic (3 classes). These counts are the same.
  • Option 3: Tetragonal (7 classes) compared to Hexagonal (7 classes). These counts are the same.
  • Option 4: Monoclinic (3 classes) compared to Triclinic (1 class). These counts are different.

Conclusion

The question asks to identify the pair of crystal systems that do not share the same number of classes. Both Option 1 (Cubic-Tetragonal) and Option 4 (Monoclinic-Triclinic) feature systems with differing class counts. Specifically, the Monoclinic system has 3 classes, while the Triclinic system has only 1 class. This difference makes the pair Monoclinic - Triclinic the correct choice.

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