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Q.In the revised Harris–Benedict equation, the BMR of a female is estimated using the constant:

(a) 88.362
(b) 447.593
(c) 13.397
(d) 5.677
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(b) 447.593.

The revised Harris–Benedict equation for women is BMR = 447.593 + (9.247 × weight in kg) + (3.098 × height in cm) - (4.330 × age in years), in kcal/day. The stand-alone constant is 447.593; 88.362 is the male constant, and 13.397 and 5.677 are male coefficients, not constants.

What BMR is

Basal Metabolic Rate is the energy the body burns just to stay alive at complete rest — running the heart, the lungs, the kidneys, the brain, and holding body temperature. It is the floor of daily energy expenditure, before any activity is added, and it is reported in kilocalories per day (kcal/day).

The two equations

Revised Harris–Benedict equations

Men: BMR = 88.362 + (13.397 × W) + (4.799 × H) - (5.677 × A)

Women: BMR = 447.593 + (9.247 × W) + (3.098 × H) - (4.330 × A)

  • W — body weight in kilograms
  • H — height in centimetres (not metres — this is the opposite of BMI)
  • A — age in years
  • Result — kcal/day

Reading the question precisely

The question asks for the constant. In an equation of the form c + aW + bH - dA, the constant is the term with no variable multiplying it — the value the equation would return if weight, height and age were all zero. In the women's equation that term is 447.593.

Each of the other numbers offered is a real number from the Harris–Benedict system, which is what makes the question a trap:

OptionWhat it actually is
(a) 88.362The constant of the male equation
(b) 447.593✓ The constant of the female equation
(c) 13.397The weight coefficient in the male equation
(d) 5.677The age coefficient (subtracted) in the male equation

Working the female equation once

Take a woman aged 20, weighing 55 kg, standing 160 cm:

  1. Start from the constant: 447.593.
  2. Weight term: 9.247 × 55 = 508.585.
  3. Height term: 3.098 × 160 = 495.68.
  4. Age term (subtracted): 4.330 × 20 = 86.6.
  5. Add and subtract: 447.593 + 508.585 + 495.68 - 86.6 = 1365.258.

So BMR ≈ 1365 kcal/day. …

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