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**Given:** **U = {Even numbers between 0 and 30}**, **P = {Multiples of 6 between 0 and 30}** **Q = {Multiples of 4 between 0 and 30}, find (P U Q)’**

**A. {0, 2, 6, 22, 26}****B. {0, 10, 14, 22, 16}****C. {2, 10, 14, 22, 26}****D. {2, 4, 14, 18, 26}**

**QUICK ANSWER…**

**C**

**SOLUTION****… **** **

**U = {Even numbers between 0 and 30} = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30}**

**P = {Multiples of 6 between 0 and 30} = {6, 12, 18, 24, 30}**

**Q = {Multiples of 4 between 0 and 30} = {4, 8, 12, 16, 20, 24, 28}**

**(P U Q) = union/combination of P and Q = {4, 6, 8, 12, 16, 18, 20, 24, 28, 30},**

**(P U Q)’ = elements in the universal set ‘U’ which is not present in (P U Q) therefore,**

**(P U Q)’ = {2, 10, 14, 22, 26}**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is incorrect.****C is correct.****D is not the correct answer.**

**KEY-POINTS…**

**You may please note the****se/this****:**

**U = universal set,****Even numbers are factors of 2,****Complement of a set is another set that contains the elements that is present in the universal set but absent in the original set.**

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**/ culled from 2015 JAMB-UTME mathematics PAST question 48 /**