Number System — A 192 m long rod is cut into equal pieces of length 3.2 m each. How many pieces are obtained? Provide the exact count.

Introduction / Context:
This is a unit-consistent division problem: total length divided by length per piece gives the number of pieces. Converting to decimals and dividing carefully yields the exact integer count when the division is exact.

Given Data / Assumptions:

• Total rod length = 192 m.
• Each piece length = 3.2 m.
• All cuts are equal; waste is ignored.

Concept / Approach:
Pieces = total length / piece length. Because 3.2 = 32/10, the division can be simplified by scaling both numerator and denominator to remove the decimal, which keeps arithmetic clean and reduces error risk.

Step-by-Step Solution:
1) Compute number of pieces: 192 / 3.2.2) Multiply numerator and denominator by 10 to clear the decimal: (1920) / 32.3) Divide: 1920 / 32 = 60 (since 32 × 60 = 1920).4) Therefore, 60 pieces are obtained.

Verification / Alternative check:
Multiply back: 60 × 3.2 m = 192 m, matching the original length exactly, so the count is confirmed.

Why Other Options Are Wrong:
52, 62, and 68 correspond to misdivisions (for example, using 3 or 3.1 instead of 3.2) or arithmetic slips. “None of these” is incorrect since an exact correct option is provided.

Common Pitfalls:
Dividing by 3 instead of 3.2; dropping the decimal when scaling; rounding prematurely; forgetting to verify by multiplication.

Final Answer:
60