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10 months ago
What is the minimum number of students enrolled in both G and L but not in K? [TITA]
Explanatory Answer
From condition 3, we get the above diagram
Condition 6 tells us p – 1 = 7. G-total = 17. G and something else = 10. G-only should be 7.
From condition 1, we get the above diagram. 
From condition 6, we can get the diagram.
From condition 4, we get the above diagram.
From condition 5,
Number of students in L = 4 + 5 + 8 + 6 – x = 23- x.
Number of students in K = 4 + 5 + 9 + x = 18 + x.
We know that 23 – x > 18 + x.
5 > 2x. x < 5252.
x could be 0, 1 or 2.
For 6 - x to be minimum, x should be maximum i.e. x should take 2.
Therefore the minimum number of students enrolled in both G and L but not in K is 4.
