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Riddle:

How many pluses should we put between the digits of 987,654,321 to get a total of 99, and where?

Answer:

(6) 9 + 8 + 7 + 6 + 5 + 43 + 21= 99

(7) 9 + 8 + 7 + 65 + 4 + 3 + 2 + 1= 99

 

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Riddle:

In olden days, the student of logic was given this problem: If half of 5 were 3, what would one-third of 10 be?

Answer:

It would be 4.

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Riddle:

Given two 2s, "plus" can be changed to "times" without changing the results: 2 + 2= 2 x 2.

The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3.

Now find the answer for 4 numbers and for 5 numbers.

Answer:

Solution for 4 numbers:

1 + 1 + 2 + 4= 1 x 1 x 2 x 4.

Solution for 5 numbers:

1 + 1 + 1 + 2 + 5= 1 x 1 x 1 x 2 x 4 

1 + 1 + 1 + 3 + 3= 1 x 1 x 1 x 2 x 4

1 + 1 +2 + 2 + 2= 1 x 1 x 2 x 2 x 2

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Riddle:

A house has 6 stories, each the same height. How many times as long is the ascent to the sixth floor as the ascent to the third?

Answer:

2 1/2 times (5/2, not 6/3).

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Riddle:

An officer wishing to arrange his men in a solid square found by his first arrangement that he had 39 men left over. He then started increasing the number of men on a side by one, but found that 50 additional men would be needed to complete a new square.

How many men did the officer have?

Answer:

The officer had 1975 men. When he formed a square measuring 44 by 44, he had 39 men over. When he tried to form a square 45 x 45, he was 50 men short.

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Riddle:

Find four numbers, the sum of which is 45, so that if 2 is added to the first number, 2 is subtracted from the second number, the third number is multiplied by 2 and the fourth number is divided by 2, then the four numbers so produced are all the same. What are the four numbers?

Answer:

 8 + 2 = 10

12 - 2 = 10

  5 x 2 = 10

20 ÷ 2 = 10
45

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Riddle:

What single-digit number should go in the box with the question?

6 5 9 2 7
1 4 3 5 ?
8 0 2 8 1
Answer:

The missing number is 4.  Simply add the first and second rows together to get the third row value.

  65, 927
+ 14, 354
  80, 281
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Riddle:

Jack had only $2, but he needed $3 for his cab fare home. He went to a pawn shop and pawned his $2 for $1.50. Jack then bumped into Don and told him that he would sell him his $2 pawn ticket for $1.50. Dan agreed. Since Jack started out with $2, and he ended up with $3, who is out the extra dollar and why?

Answer:

Don is out the extra dollar. Before the pawn broker will return the $2 to the ticket holder, he will want the $1.50 which he advanced returned to him. Don will give the pawn broker the ticket and the $1.50, and the pawn broker will then return the $2.

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Riddle:

Mr. Grumper grumbles about bad time-keeping trains like everybody else. On one particular morning he was justified, though. The train left on time for the one hour journey and it arrived 5 minutes late. However, Mr. Grumper's watch showed it to be 3 minutes early, so he adjusted his watch by putting it forward 3 minutes. His watch kept time during the day, and on the return journey in the evening the train started on time, according to his watch, and arrived on time, according to the station clock. If the train traveled 25 percent faster on the return journey than it did on the morning journey, was the station clock fast or slow, and by how much?

Answer:

The station clock is 3 minutes fast. The morning journey took 65 minutes, and the evening journey therefore took 52 minutes, and the train arrived 57 minutes after it should have left, that is, 3 minutes early.

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Riddle:

'How much is this bag of potatoes?' asked the man. '32lb divided by half its own weight,' said the green grocer.

How much did the potatoes weigh?

Answer:

8lbs.

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