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Here are the answers for the test that you just took:

1. 1. 5² + 5² = 7² + 1² = 50. Write out all squares of positive integers from 1 to 10, and see if you can match them in pairs that have the same sum.
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3. 2.  1 mile. The boy and the girl will meet in ¹/₇ of an hour. During that time the dog will be able to run only one mile (its speed is 7 mph).
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5. 3. 2 min.
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7. 4. yes, yes, yes. The number is divisible by 1001, which, in turn, is divisible by 7, 11, and 13.
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9. 5. 10²⁰. 10²⁰ = 10¹⁰ * 10¹⁰, while 20¹⁰ = 2¹⁰ * 10¹⁰.
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11. 6.  Old man made a mistake. ¹/₂, ¹/₄, ¹/₅ add up to ¹⁹/₂₀, not 1, therefore horses could not be divided evenly among his sons according to his will.
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13. 7.  The man who was walking along the river.
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15. 8. 1892. He was 44 in 1936 (44²).
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17. 9. 900 inches.
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19. 10.  Yes. Fill the 5 gallon jug, and pour 3 gallons out of it into the smaller jug. Empty 3 gallon jug out, and pour the remaining 2 gallong out of the 5 gallon jug into it. Fill 5 gallon jug again with water, and pour one gallon into the smaller jug, filling it up. That will leave exactly 4 gallons in the large jug. (Or you might want to watch "Die Hard With a Vengeance" one more time.)
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21. 11.  69. Add numbers in sequence +2, +3, +4, +5, omitting the numbers that already exist in the series.
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23. 12.  37.

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