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With n coats there are n + 1 equal gaps, so (coats + 1) × (empty hooks per gap + 1) = 12. That allows 1, 2, 3 or 5 coats, with 5, 3, 2 or 1 empty hooks in each gap.
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Turn the picture upside down and the spaces read 86, 87, 88, 89, 90, 91. The car is parked on 87.
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The dot moves clockwise around the corners (top-left, top-right, bottom-right) and the star moves counterclockwise (bottom-left, bottom-right, top-right). Next the dot lands bottom-left and the star top-left.
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Amy eats 1/2 on her first turn, and each later turn gives her 1/16 of what she ate the turn before. So she eats 1/2 ÷ (1 − 1/16) = 8/15. Ben, Cal and Dee get 4/15, 2/15 and 1/15.
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√625 = 25, so the top is √(81 × 25) = 45. √81 = 9, so the bottom is √(625 × 9) = 75. And 45/75 = 3/5.
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In a cross net, faces two apart in the long row end up opposite, and so do the top and bottom squares. In B, 2 is opposite 6 and 1 is opposite 5, which do not add up to 7. A, C and D all pair up to 7.
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The top circle plus its neighbors make 10 and 7, so the top is 4 or 6. If it were 6, the right side would force a 4 twice. With 4 on top: left 6, right 3, bottom-right 2, bottom-middle 5, bottom-left 1. Every box checks out.
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The third board gives 2 blue + 2 green = 14. Combining the other two boards gives red = 10, blue = 5, green = 2. The last board has 2 red, 2 blue and 3 green: 20 + 10 + 6 = 36.
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Square each half and add: 3² + 4² = 25 and 5² + 6² = 61. So 2² + 8² = 4 + 64 = 68.
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The time is in the gaps, not the strikes. 6 strikes have 5 gaps, so each gap is 1 second. 12 strikes have 11 gaps: 11 seconds.
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They're the first letters of One, Two, Three, Four, Five, Six, Seven. Next comes Eight.
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The orchard is 8 × 6 = 48 trees. The inner block is 6 × 4 = 24, so the outer ring is also 24. 24 out of 48 = ½.
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Subtract the squares: 5² − 3² = 16 and 7² − 2² = 45. So 6² − 4² = 36 − 16 = 20.
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Each clock is worth the hour it shows: 3 + 3 + 3 = 9, 4 + 4 = 8, 5 + 5 = 10. The last line is 3 + 4 × 5. Multiply first: 3 + 20 = 23.
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9 small ones, 3 medium ones (each made of 4 small triangles), and 1 big one around the whole shape. 9 + 3 + 1 = 13.
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7, 3 and 8 are out. From 780, 0 is in but not last; from 206, it isn't in the middle, so 0 is first. 206 has two right digits, so 2 is in and 6 is out. In 682 the correct, well-placed digit must be 2, so 2 is last. From 614, 4 is in but not last, so it's in the middle.
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The pipes to cups 2 and 4 are blocked. Cup 1 overflows into cup 3, but cup 3's pipe comes out of its bottom, so it drains straight into cup 5 before it can fill.
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Every side adds up to 11: 2 + 5 + 4 = 11 and 2 + 3 + 6 = 11. So 4 + ? + 6 = 11, which makes ? = 1.
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