Question : Two numbers whose sum is 84 cannot be in the ratio of:
Option 1: 5 : 7
Option 2: 13 : 8
Option 3: 1 : 3
Option 4: 3 : 2
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Correct Answer: 3 : 2
Solution :
The number 84 must be a multiple of the sum of the terms of the ratio.
By checking options
Option 1. The sum of 5 and 7 = 12 which divides 84.
Option 2. The sum of 13 and 8 = 21 which divides 84.
Option 3. The sum of 1 and 3 = 4 which divides 84.
Option 4. The sum of 3 and 2 = 5 which does not divide 84.
Hence, the correct answer is 3 : 2.
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