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Is the two-digit prime number s equal to 19?

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Is the two-digit prime number s equal to 19?  [#permalink]

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New post 01 Nov 2019, 08:00
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Re: Is the two-digit prime number s equal to 19?  [#permalink]

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New post 01 Nov 2019, 08:08
Is the two-digit prime number s equal to 19?

So the number is
(a) 2-digit
(b) Prime


(1) The sum of the digits of s is 10.
So s can be 19, 37, 73 ...

(2) The positive difference between the tens and units digits of s is 8.
the numbers with difference of 8 can be ONLY 19, 91, 80..
But s is prime, so only possibility is 19..
Suff

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Re: Is the two-digit prime number s equal to 19?  [#permalink]

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New post 01 Nov 2019, 08:42
Bunuel wrote:
Is the two-digit prime number s equal to 19?

(1) The sum of the digits of s is 10.
(2) The positive difference between the tens and units digits of s is 8.


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(1) The sum of the digits of s is 10.
--> Possible values of s = {19, 37, 73} --> Insufficient

(2) The positive difference between the tens and units digits of s is 8.
--> Possible value of s = 19 --> Sufficient

IMO Option B
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Re: Is the two-digit prime number s equal to 19?  [#permalink]

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New post 01 Nov 2019, 09:05
chetan2u wrote:
Is the two-digit prime number s equal to 19?

So the number is
(a) 2-digit
(b) Prime


(1) The sum of the digits of s is 10.
So s can be 19, 37, 73 ...

(2) The positive difference between the tens and units digits of s is 8.
the numbers with difference of 8 can be ONLY 19, 91, 80..
But s is prime, so only possibility is 19..
Suff

B


Hi chetan2u,

See the highlighted part, the questions says that 's' is a prime number, Is there need to consider non-prime numbers?
Correct me if i'm wrong

Regards
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Re: Is the two-digit prime number s equal to 19?  [#permalink]

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New post 01 Nov 2019, 09:15
1
Dillesh4096 wrote:
chetan2u wrote:
Is the two-digit prime number s equal to 19?

So the number is
(a) 2-digit
(b) Prime


(1) The sum of the digits of s is 10.
So s can be 19, 37, 73 ...

(2) The positive difference between the tens and units digits of s is 8.
the numbers with difference of 8 can be ONLY 19, 91, 80..
But s is prime, so only possibility is 19..
Suff

B


Hi chetan2u,

See the highlighted part, the questions says that 's' is a prime number, Is there need to consider non-prime numbers?
Correct me if i'm wrong

Regards


Hi

Yes we don’t have to consider and that is why I have written that numbers and not s with difference of 8 are19,91 and 80. Bit since s is prime it cannot be 91 or 80 and s is 19
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Re: Is the two-digit prime number s equal to 19?   [#permalink] 01 Nov 2019, 09:15
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Is the two-digit prime number s equal to 19?

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