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Which of the following is true of the number 2?
A. it is the only even prime number
B. it is the smallest even number
C. it is the only positive integer that, when cubed, produces a single-digit number
D. it is the only number that satisfies the equation x2−2x=0
E. all of the above

You can clearly rule out E by noting that D is also true for 0 as well.

Addiotinally, A is the only correct answer.

According to the solution B is incorrect .i.e., 2 is not the smallest even number.

because as per the definition,
an even number is the one which can be divisible by 2........so in that case the smallest even number is \(zero\) right?

Not really. By definition any number (positive or negative) that leaves a remainder of 0 when divided by 2 is an even number. By that definition, -2,-4,...,-10 are even as well. As such, there is no "smallest" even number as you can go till -inf .

Hope this helps.
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Which of the following is true of the number 2?
A. it is the only even prime number
B. it is the smallest even number
C. it is the only positive integer that, when cubed, produces a single-digit number
D. it is the only number that satisfies the equation x2−2x=0
E. all of the above

Just have to remember with this question that 0 is neither odd nor even so


"A"
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Which of the following is true of the number 2?
A. it is the only even prime number
B. it is the smallest even number
C. it is the only positive integer that, when cubed, produces a single-digit number
D. it is the only number that satisfies the equation x2−2x=0
E. all of the above

Just have to remember with this question that 0 is neither odd nor even so


"A"

0 is neither positive nor negative, but 0 is definitely an even integer.
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Nevernevergiveup
Which of the following is true of the number 2?
A. it is the only even prime number
B. it is the smallest even number
C. it is the only positive integer that, when cubed, produces a single-digit number
D. it is the only number that satisfies the equation x2−2x=0
E. all of the above


We can analyze each answer choice:

A) it is the only even prime number

Answer choice A is true: 2 is the only even prime number.

B) it is the smallest even number

Two is not the smallest even number, since 0 and negative even numbers are smaller.

Since answer B is not true, answer choice E, all of the above, cannot be true. Thus, A is the correct answer.

Answer: A
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