Dr. Numerez is reading the newspaper in his living room when the doorbell rings. He opens it to find a salesman trying to sell him a new product. Dr. Numerez is not interested, but when the salesman insists, he tells him, "You can go to my brother. He might be interested in buying this. His house is in this very block, and its number is composite, but relatively prime to the number of my house. You can ask me just one more question, which I should be able to answer with a 'yes' or 'no', and then leave." The salesman knows that Dr. Numerez's house is number 10 in the block, which has houses numbered 1 to 26.Assuming that Dr. Numerez will answer him correctly, which of the following questions should the salesman ask to uniquely determine the number of his brother's house?OPTIONS 1) Is the number a perfect square? 2) Does the number have exactly 4 distinct divisors? 3) Does the number have exactly 3 distinct divisors? 4) Is the number lesser than the number of your house? 5) Any of these

1) 1
2) 2
3) 3
4) 4
5) 5