Riddle: There are two numbers whose product added to the sum of their squares is 109, and the difference of whose squares is 24. What are the two numbers?
Answer: 5 and 7. (5)² = 25(7)² = 49(5x7)+25+49=10949-25=24
Riddle: I am not found on any ground,But always in the air; Though charged each cloud with thunder loud, You can not find me there. Now, if from France you choose to dance Your way just into Spain, I there am seen, and near the queen, In hail, in mist, and rain. What am I?
Answer: The letter I.
Riddle: Gaze at this sentence for just about sixty seconds and then explain what makes it quite different from the average sentence. Quick! What is it?
Answer: It contains all of the letters in the alphabet.
Riddle: Two schoolgirls were traveling from the city to a dacha (summer cottage) on an electric train. "I notice," one of the girls said "that the dacha trains coming in the opposite direction pass us every 5 minutes. What do you think-how many dacha trains arrive in the city in an hour, given equal speeds in both directions?" "Twelve, of course," the other girl answered, "because 60 divided by 5 equals 12." The first girl did not agree. What do you think?
Answer: If the girls had been on a standing train, the first girl's calculations would have been correct, but their train was moving. It took 5 minutes to meet a second train, but then it took the second train 5 more minutes to reach where the girls met the first train. So the time between trains is 10 minutes, not 5, and only 6 trains per hour arrive in the city.
Riddle: There is a certain club which is for men only. There are 600 men who belong to this club and 5% of these men wear one earring. Of the other 95% membership, half wear two earrings and the other half wear none. How many earrings are being worn in this club?
Answer: Six hundred. We know that 5%, or 30 of the men are wearing one earring. Of the other 95%, or 570, we know that half are wearing two earrings and the other half none. This is the same as if they all wore one.
Riddle: Can you combine plus signs and five 2's to get 28? Can you combine plus signs and eight 8's to get 1,000?
Answer: 22+2+2+2=28; 888+88+8+8+8=1,000
Riddle: I come in a cone but I am not food; I will be skewed if you screw with my hue; I come by the millions but you can probably only name a few. What am I?
Answer: Colors.
Riddle: Eight years ago, Bill was eight times the age of his son Bill Jr. Today, if you add their ages together, they add up to 52. How old are Bill and his son?
Answer: Bill is 40, and Bill Jr. is 12.
Riddle: My first is a negative greatly in use, By which people begin when they mean to refuse; My second is Fashion, or so called in France, But, like other whims, is the servant of chance. An article always in use is my whole, With texture and form under fashion's control; But, alas! not a thing can it see which goes by, Although many have four sights, and all have one eye. What am I?
Answer: But-ton.
Riddle: A nonstop train leaves Moscow for Leningrad at 60 mph. Another nonstop train leaves Leningrad for Moscow at 40 mph. How far apart are the trains 1 hour before they pass each other?
Answer: 100 miles (60+40)