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Question of the Day
If x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?
(A) 
(B) 
(C) 
(D) 
(E) 
Step One: Recognize the GMAT Topic Being Tested.
This question is testing your knowledge of number properties.
Step Two: Write Down GMAT the Information NOT Given in the Question.
Remember the rules for odd and even.
Step Three: Connect the Information Not Given to the Information Given.
Test each choice based on our knowledge of the rules for odd and even numbers.
Step Four: Solve.
(A) even / odd : An integer can result from this since an even number can have an odd number as a factor.
(B) odd / even : An integer cannot result from this because in order for a number to have an even number as a factor, the number itself must be even.
(C) even / odd : An integer can result from this per stated reason.
(D) (even x odd) / even : Since any number multiplied with an even number will be even, this simplifies to even / even so an integer can result from this.
(E) (even x odd) / even : An integer can result from this per stated reason.
Step Five: Reread the Question Asked and Select an Answer.
Choose B
Do not neglect to reread the question, answering the wrong question is often a mistake the novice test-taker makes.
This question is testing your knowledge of number properties.
Step Two: Write Down GMAT the Information NOT Given in the Question.
Remember the rules for odd and even.
Step Three: Connect the Information Not Given to the Information Given.
Test each choice based on our knowledge of the rules for odd and even numbers.
Step Four: Solve.
(A) even / odd : An integer can result from this since an even number can have an odd number as a factor.
(B) odd / even : An integer cannot result from this because in order for a number to have an even number as a factor, the number itself must be even.
(C) even / odd : An integer can result from this per stated reason.
(D) (even x odd) / even : Since any number multiplied with an even number will be even, this simplifies to even / even so an integer can result from this.
(E) (even x odd) / even : An integer can result from this per stated reason.
Step Five: Reread the Question Asked and Select an Answer.
Choose B
Do not neglect to reread the question, answering the wrong question is often a mistake the novice test-taker makes.