The Locomotive - Lighthouse Survival Blog

-iQQ THE LOCOMOTIVE. [July,
and also to the Grand Duke. He afterwards took luncheon with the officers of the ship,
and the Admiral made him a sub-lieutenant, giving the proper cap, shoulder straps, and
sword, and instructing his men to salute the little officer with proper respect, which they
alwaj's did. By special invitation of the Grand Duke, Master Corbin went to New York
with the Dimitri Donskoi, and while there he attended the big banquet given by the
mayor, along with the Russian officers. Subsequently he accompanied the vessel on a tg^oweeks
cruise to Boston. He has a number of interesting mementos from the Grand
Duke, among which are two buttons from his uniform, and a photograph on the back of
which is written : "Grand Duke Alexander of Russia, to Arthur Corbin, 1893."
Answers to Problems.
In the May issue of The Locomotive we gave some "Problems for Idle Moments,"
and as our readers have manifested considerable interest in them, the answers are given
herewith.
1. Ten cents for each link cut is the better offer; for by cutting all three of the
links in one of the pieces of chain, and using these three links to unite the remaining
four pieces, the job can be done with three cuts.
2. The multiplicand was 853, and the multiplier was 279. (The multiplicand is the
greatest common divisor of 7,677, 5,971, and 1,706, and it can therefore be found by the
rules given in the arithmetics for finding the greatest common divisor.)
8. He bought 80 hens, 19 cows, and 1 pig. (Some problems of this kind have
several answers. This has but one.)
4. It does follow that there are at least two cows in the world with the same number
of hairs in their tails.
5. The hands are played as follows: (a) A leads the king of diamonds and C plays
the nine-spot, (i) A leads the 7 of spades, and C trumps with the queen, (c) C leads
the king of hearts, and A discards the ace of clubs, (d) C leads the king of clubs, and
A discards the 3 of spades, (e) 6' leads the 10 of clubs, and A discards the queen of
spades, unless it is the best spade out. (In that case, he discards the 7 of diamonds in-
stead.) (/) If B has discarded a club during the play, C now leads the 6 of clubs,
and follows it with the three of diamonds, A taking the last trick with the queen of
diamonds. If B has not discarded a club, C leads the 3 of diamonds, and A plays the
smallest card that will take the trick, and then leads the card that remains in his hand.
(This last card may be the 7 of diamonds, queen of diamonds, or queen of spades, ac-
cording to the previous play.)
6. The answer, to 7 places of decimals, is 60.3553391 miles.
7. Three dogs.
8. The pieces weighed 1, 3, 9, and 27 pounds, respectively.
9. Mr. Brown filled the 5-gallon measure, and from this he filled the 3-gallon one.
This left 2 gallons in the 5-gallon measure. He then emptied the 3-gallou measure into
the 8-gallou one, and ])oure(l into the 3-gallou measure the 2 gallons that remained in
the 5-gallou one. He then filled the 5-gallon measure once more, and poured from it
into the 3-gallon measure until the latter was full. He then had the required 4 gallons
in the 5-gallon measure.
10. Roll them down an inclined plane, starting them together. The solid one will
reach the bottom first. The matter composing it is nearer the center of the ball, on the
whole, than is the matter composing the lead ball. Hence the solid one can be set rolling
easier than the hollow one.
11. The problem is absurd, for it is self-contradictory. An "irresistible force"
is a force that can move anything. Hence if we assume that such a force exists, we im-
plicitly assume that immovable bodies do not exist.