mzaid wrote:
Bunuel wrote:
Official Solution:
(1)\(p\) is a prime number. If\(p=2\) then the answer is NO but if\(p=11\) then the answer is YES. Not sufficient.
(2)\(2p\) is divisible by 11. Given:\(\frac{2p}{11}=\text{integer}\) . Multiply by 2:\(2*\frac{2p}{11}=\frac{4p}{11}=2*\text{integer}=\text{integer}\) , but we don't know whether this integer is positive or not: consider\(p=0\) and\(p=11\) . Not sufficient.
(1)+(2) Since\(p\) is a prime number and\(2p\) is divisible by 11, then\(p\) must be equal to 11 (no other
(1)\(p\) is a prime number. If\(p=2\) then the answer is NO but if\(p=11\) then the answer is YES. Not sufficient.
(2)\(2p\) is divisible by 11. Given:\(\frac{2p}{11}=\text{integer}\) . Multiply by 2:\(2*\frac{2p}{11}=\frac{4p}{11}=2*\text{integer}=\text{integer}\) , but we don't know whether this integer is positive or not: consider\(p=0\) and\(p=11\) . Not sufficient.
(1)+(2) Since\(p\) is a prime number and\(2p\) is divisible by 11, then\(p\) must be equal to 11 (no other
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