If the product of five integers is an odd integer, exactly how many of

Question

If the product of five integers is an odd integer, exactly how many of the five must be odd?

(A) One 
(B) Two 
(C) Three 
(D) Four
(E) Five

Mohammadmo · Answer

Any odd number multiplies by even number or numbers, the product would be even.
So none of the numbers should be even.
Hence option E

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Archit3110 · Answer

odd*odd ; odd ; and odd*even ; even
so in this case all 5 no have to be odd 
IMO E

EgmatQuantExpert · Answer

Solution

Given
  
 • The product of five integers is an odd integer

To Find
 • How many of the five integers are odd?

Approach

Product of any integer with even integer is even.
 • So, none of five integers should be even for their product to be odd. 
Hence, all 5 integers were odd.
Hence, the correct answer is option E.

unraveled · Answer

Odd*Odd = Odd
Hence, 
Odd*Odd*Odd*Odd*Odd = Odd

Five odd integers.

Answer (E).

Kinshook · Answer

All 5 integers must be odd, if the product of 5 integers is odd.

IMO E

Abhishek009 · Answer

The basic property for the product of an even number is when one of the number is 2 or a multiple of 2...

Since, product of five integers is an odd integer there must be all odd numbers, Answer must be (E)

If the product of five integers is an odd integer, exactly how many of

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GMAT Problem Solving (PS) Questions

If the product of five integers is an odd integer, exactly how many of

Prep Toolkit

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