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If a : b = c : d, then by alternendo, the relation a : c = b : d means
ASquares are taken
BMeans and extremes swap positions
CReciprocals are taken
DThe ratio reverses
Answer & Solution
Correct answer: B. Means and extremes swap positions
1. Alternendo states: if a/b = c/d, then a/c = b/d.
2. This swaps the means (b and c) of the original proportion.
3. The extremes (a and d) keep their outer positions.
4. So alternendo describes means and extremes swapping positions.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit II 'Proportions', p.10 properties_
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