GATE CE 2018 Set 2 — Question 6
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
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?
Correct answer
(C) 1600
Solution
Let the loss be and the deviation be . According to the problem, the loss is proportional to the square of the deviation:where is a constant of proportionality.Step 1: Find the value of using the given data.
Given when :Step 2: Calculate the loss for a deviation of 4 units.
For :The loss for a deviation of 4 units is Rs. 1600.
Given when :Step 2: Calculate the loss for a deviation of 4 units.
For :The loss for a deviation of 4 units is Rs. 1600.
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