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Hi,
I would give you the percentage of this as the exact figures are not possible.
In the 1970s and early 80s, it was ~50%. Do not know their proportion now.
If the question is, should they have wasted an engineering (IIT) seat if they were going for Civil Services. At a cursory glance road, water, electricity, dams, mining, industries, steel etc. will benefit from their specialized field knowledge. At the minimum, they need not be primed up for those fields.
Even if they are posted in other departments, the possibility of having a subject matter specialist, who has also qualified for IAS, would have been very low.
As the IITians being science students develop a logical and scientific line of thinking and hence, with their IAS qualification, will understand and learn other subjects quickly.
Good Luck!
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