In a class of $35$ students, $17$ have taken Mathematics, $10$ have taken Mathematics but not Economics. If each student has taken either Mathematics or Economics or both, then the number of students who have taken Economics but not Mathematics is:

7

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25

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18

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32

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Solution

The correct option is C $18$
Students who have taken both Maths and Economics $=$ student taken maths $-$ student taken maths but not economics $= 17 - 10 = 7$

So, student taken economics but not maths $= 35 - (10 + 7)$ $= 35 - 17 = 18$

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