By Martin Gardner
A notebook of riddles, jam-packed with enjoyable and illustrations.
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Extra info for aha! Gotcha: Paradoxes to Puzzle and Delight
3,628,800. There is no multiple of 5 higher than 25 that will divide evenly into 10! For 15! 125 will divide into it evenly, so there would be three 5 s. 14 The answer is (e). The key is the number of supporting wires. Each has three different wires or ropes supporting the weight. 15 For no sliding, f(a + z) = b. 2z = 6, and z = 30. 16 15 women 6 men Let x be the number of men. Then there are x + 9 women and we are given that Solving, 2(x + 9) = 5x, 2x + 18 = 5x, 3x = 18, and x = 6. So there were 6 men and 15 women.
Let A, B, and C be the black balls. You picked a black ball. It can either be A, B, or C with equal probability (1/3). Since in two of those three cases (when you pick A or B), you would end up with another black ball in the next draw, your probability would be 2/3. 87 days in 5,000,000 seconds. 87 days. 37 Only ten bushes will be needed. They can be planted as follows: 38 The answer is (c) 3. Here’s one way to solve the problem. Start by working from the inside. 27 4/3 is the cube root of 27, taken to the 4th power.
144 If two typists can type two pages in five minutes, how many typists will it take to type 20 pages in 10 minutes? 5 times as fast as Bibi runs. Together they cover a total of 42 miles in one hour. What is their combined distance if Bob drives his scooter for 1/2 hour and Bibi runs for 1 1/2 hours? 146 If the stack of cubes below was originally 3 × 3 × 3, which of the pieces below is the missing piece of the cube? All rows and columns run to completion unless you actually see them end. The missing piece is to be inserted upside down to complete the cube.
aha! Gotcha: Paradoxes to Puzzle and Delight by Martin Gardner