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# If x and y are prime numbers less than ten, what must be true about

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Math Expert
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Posts: 58381
If x and y are prime numbers less than ten, what must be true about  [#permalink]

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11 Apr 2016, 04:14
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If x and y are different prime numbers less than ten, what must be true about the sum of x and y?

A. the sum is even
B. the sum is odd
C. the sum is less than ten
D. the sum is greater than ten
E. the sum is less than 13

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Posts: 7959
Re: If x and y are prime numbers less than ten, what must be true about  [#permalink]

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11 Apr 2016, 05:01
1
Bunuel wrote:
If x and y are prime numbers less than ten, what must be true about the sum of x and y?

A. the sum is even
B. the sum is odd
C. the sum is less than ten
D. the sum is greater than ten
E. the sum is less than 13

the prime number can be lowest as 2 and max as 7..
it can be ODD or EVEN..

lets see the choices....

A. the sum is even
2 + any other number will be ODD..
Not necessary

B. the sum is odd
Any two primes except 2 will always be EVEn
Not necessary

C. the sum is less than ten
Largest is 7 so sum can be 14
Not necessary..

D. the sum is greater than ten
sum of 2 and 3 is 5..
Not necessary

E. the sum is less than 13
7+7= 14
Not necessary
yes if x and y are different, this will be the answer..

Bunuel, I suppose x and y are to be different integers, Otherwise none will be the answer
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Re: If x and y are prime numbers less than ten, what must be true about  [#permalink]

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11 Apr 2016, 06:15
chetan,

prime numbers are always integers.

E is the answer for above
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Re: If x and y are prime numbers less than ten, what must be true about  [#permalink]

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11 Apr 2016, 06:17
chetan2u wrote:
Bunuel wrote:
If x and y are prime numbers less than ten, what must be true about the sum of x and y?

A. the sum is even
B. the sum is odd
C. the sum is less than ten
D. the sum is greater than ten
E. the sum is less than 13

Bunuel, I suppose x and y are to be different integers, Otherwise none will be the answer

Edited as suggested. Thank you.
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Re: If x and y are prime numbers less than ten, what must be true about  [#permalink]

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11 Apr 2016, 06:39
hsbinfy wrote:
chetan,

prime numbers are always integers.

E is the answer for above

Hi,
I am not questioning that prime numbers are integers..
My point was that if x and y are not written as different prime numbers, they can take same value..
so if x=y=7.. x+y = 7+7=14, which is > 13, so E need not be TRUE..

But as now it is mentioned that they rae different prime numbers, x= 7, the greatest vale of y can ONLY be 5, so x+y = 5+7 = 12<13
so NOW E is true..

It must have been a typo error, which has beem edited by Bunuel ..
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Re: If x and y are prime numbers less than ten, what must be true about  [#permalink]

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11 Apr 2016, 10:26
Bunuel wrote:
If x and y are different prime numbers less than ten, what must be true about the sum of x and y?

A. the sum is even
B. the sum is odd
C. the sum is less than ten
D. the sum is greater than ten
E. the sum is less than 13

This has to be solved by checking for each option:
Prime numbers less that 10 = 2, 3, 5, 7

A. the sum is even
May or may not be true. x = 3, y, = 5 -> True.
x = 2, y = 3 - True

B. the sum is odd
May or may not be true. x = 3, y, = 5 -> False.
x = 2, y = 3 - True

C. the sum is less than ten
May or may not be true x= 5, y = 7, Sum = 12
x = 2, y = 3. Sum = 5

D. the sum is greater than ten
May or may not be true x= 5, y = 7, Sum = 12
x = 2, y = 3. Sum = 5

E. the sum is less than 13
This will always be true.
Maximum sum = 7 + 5 = 12.
This is always less than 13.

Correct Option: E
Re: If x and y are prime numbers less than ten, what must be true about   [#permalink] 11 Apr 2016, 10:26
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# If x and y are prime numbers less than ten, what must be true about

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