Question

Which of the following units of measurement does not measure a continuous variable?

• A. Kilogram
• B. Minute
• C. Centimeter
• D. Rupee

Hint:

Continuous variables are measured on scales like weight, time, and length; money is counted in discrete units.

Answer 1

The Correct Option is D

Step 1: Apply the test of infinite divisibility: a scale measures a continuous variable if, between any two readings, a finer intermediate reading is always theoretically possible with a more precise instrument.

Step 2: Length in centimeters, weight in kilograms, and time in minutes all pass this test since a ruler, scale, or stopwatch can always be refined to read a value between two existing readings.

Step 3: Currency does not pass this test. The Rupee is a counted quantity built from a smallest indivisible unit, the paisa, so all monetary amounts are discrete multiples of that unit rather than points on a continuum.

Step 4: Therefore, among the four options, Rupee is the odd one that measures a discrete, not continuous, variable.

\[\boxed{\text{Rupee}}\]