Multiple choice

In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 Units, what would be the loss in Rupees for a deviation of 4 units from the target?

  1. 400

  2. 1200

  3. 1600

  4. 2800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The loss L is proportional to the square of the deviation d, so L = k * d^2. Given 4900 = k * 7^2, we find k = 4900 / 49 = 100. For a deviation of 4, the loss is 100 * 4^2 = 100 * 16 = 1600.

AI explanation

Using the direct variation method, the loss is proportional to the square of the deviation, so we set up the equation loss divided by deviation squared equals a constant. This gives 4900 divided by 7 squared equals the new loss divided by 4 squared. Solving 4900 divided by 49 yields 100, and multiplying by 16 gives the new loss of Rs. 1600.

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