Q.A student weighs 54 kg and is 1.5 m tall. His BMI is:
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Start your 14-day free trial to unlock the full solution →BMI is a simple ratio of weight to height squared; for this student the calculation gives exactly 24.0 kg/m², which falls in the Normal range by WHO standards.
This is a straightforward MCQ that tests whether you know the BMI formula and can apply it without a calculator slip. BMI (Body Mass Index) is the most widely used screening tool to classify underweight, normal weight, overweight, and obesity in adults. It matters because it gives a quick, inexpensive estimate of body fatness and associated health risk — though it does not measure fat directly.
The formula is fixed:
BMI = (weight (kg))/([height (m)]²)
Now plug in the given values. Weight = 54 kg, height = 1.5 m.
- Square the height: 1.5 × 1.5 = 2.25 m².
- Divide weight by that square: 54 ÷ 2.25.
Do the division carefully. 2.25 × 24 = 54 exactly, so the result is 24.0 kg/m².
That matches option (b).
Now check the other options to see where a student might land if they make a common error:
- (a) 18.0 kg/m² — This is what you get if you mistakenly divide height by weight, or if you square 1.5 incorrectly as 3.0 (giving 54/3 = 18). A plausible slip.
- (c) 36.0 kg/m² — This comes from forgetting to square the height: 54/1.5 = 36. A very common mistake.
- (d) 81.0 kg/m² — This is the square of the height (2.25) multiplied by 36, or some other arithmetic confusion; no sensible path leads here. …
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