Q.A student steps for the full 5 minutes in the Harvard Step Test. His pulse count from 1 to 1.5 minutes after exercise is 54 beats. Compute his Physical Fitness Index and state the fitness category.
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Start your 14-day free trial to unlock the full solution →The Physical Fitness Index (PFI) is calculated using the formula PFI = (Duration in seconds × 100) / (5.5 × pulse count). For a full 5-minute test with a 30-second pulse count of 54, the PFI is 101.0, which falls in the Good category.
The Harvard Step Test is a cardiovascular fitness test that measures how quickly your heart rate recovers after a standardised bout of stepping. The core idea is simple: a fitter heart recovers faster, so a lower pulse count after exercise yields a higher PFI. The formula prescribed by the CBSE syllabus uses only a single 30-second pulse count taken from 1 to 1.5 minutes after exercise — not the three-pulse variant sometimes seen elsewhere.
PFI = (Duration of exercise in seconds × 100)/(5.5 × Pulse count (1–1.5 min after exercise))
Let’s define each term clearly:
- Duration of exercise in seconds: The student stepped for the full 5 minutes, so this is 5 × 60 = 300 seconds.
- Pulse count: This is the raw 30-second count taken between 1 minute and 1.5 minutes after exercise. The question gives this as 54 beats. Do not double it to 108 beats per minute — that would be a common error.
- 5.5: A constant in the denominator.
Now substitute the values:
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Write the formula:
PFI = (300 × 100)/(5.5 × 54)
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Multiply numerator: 300 × 100 = 30000
Multiply denominator: 5.5 × 54 = 297
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Divide:
PFI = 30000/297 ≈ 101.01 …
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