Which of the following cannot yield an odd integer when divided by 5?

Question

A. an odd integer squared
B. an integer less than 5
C. the product of an odd integer and an even integer
D. the sum of three consecutive integers
E. an even integer minus an odd integer

What is wrong with B??

Bunuel · Answer

Which of the following cannot yield an odd integer when divided by 5?

A. an odd integer squared: 5^2/5 = 5 = odd. Possible.

B. an integer less than 5: (-5)/5 = -1 = odd. Possible.

C. the product of an odd integer and an even integer: If even*odd/5 = odd , then we'd get even*odd = odd*5, which cannot be true: LHS is even, while RHS is odd.

D. the sum of three consecutive integers: (4 + 5 + 6)/5 = 3 = odd. Possible.

E. an even integer minus an odd integer: (6 - 1)/5 = 1 = odd. Possible.

Answer: C.

Viserion99 · Answer

Thanks.
I thought negative numbers cannot be classified as odd/even.
Remember reading it somewhere.
So, I was confused.

Bunuel · Answer

An even number is an   integer   that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder. So, ..., -4, -2, 0, 2, 4, ... are all even integers.

An odd number is an   integer   that is not evenly divisible by 2. So, ..., -3, -1, 1, 3, 5, ... are all odd integers.

JeffTargetTestPrep · Answer

Let’s test each answer choice:

A) an odd integer squared

Since 5^2 = 25 and 25/5 = 5, an odd integer squared can yield an odd integer when divided by 5.

B) an integer less than 5

Since -5/5 = -1, an integer less than 5 can yield an odd integer when divided by 5.

C) the product of an odd integer and an even integer

The product of an odd and even integer will always produce an even integer.

Any even integer (such as 10, 20, 30, etc.) that is divisible by 5 will always yield an even number.

Answer: C

rrn98 · Answer

Hi experts, please answer:

Is it OK to re-state the question like this:
x/5=odd 
Then: x=odd*5
In this way you notice x must be odd.

C is the only number that is not odd, so the answer must be C.

Bunuel   JeffTargetTestPrep

Bunuel · Answer

__________________________________
Absolutely! +1

Aravind04 · Answer

hi  Bunuel  , 
please help me understand where i am going wrong

option C says : the product of an odd integer and an even integer divided by 5 should not yield an Odd number

if i try substitution
for a even number say 2 & odd number say 9 product =18 
and when divided by 5 will give quotient 3 & remainder 3 both are Odd but as per the answer it should not yield an Odd integer ?

rohit8865 · Answer

well Aravind04 but 18/5 =3.6 ,which is not an integer , its the second part that one has to find whether its even or odd integer. hope u understand

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Which of the following cannot yield an odd integer when divided by 5?

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Which of the following cannot yield an odd integer when divided by 5?

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