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Math Support at the Academic Success Center

Richard's Stumpers

Set #7

  1. Mr. Brown, Mr. Green, and Mr. Black were lunching together. One wore a brown necktie, one a green tie, and one a black one.

    "Have you noticed," said the man with the green tie, "that although our ties have colors that match our names, not one of us has on a tie that matches his own name?"

    "You’re right!" said Mr. Brown.

    What color tie was each man wearing?

  2. "Give me change for a dollar please," said the customer.

    "I’m sorry," said Miss Fried, the cashier, after searching through the cash register, "but I can’t do it with coins I have here."

    "Can you change a half dollar then?"

    Miss Fried shook her head no. In fact, she couldn’t make change for a quarter, dime, or nickel.

    "Do you have any change at all?" asked the customer.

    "Oh, yes," said Miss Fried, "I have $1.15 in coins."

    Assuming that none of the coins were silver dollars, exactly what coins did she have?

  3. What 3 consecutive integers will add up to 27?

  4. A train one mile long starts from the station of Glady. The engine leaves the station and the conductor waits until the caboose comes, then he jumps on the caboose and walks forward over the train. When the engine reaches the next station, Oxley, four miles distance from Glady, the conductor steps off the engine. How far does the conductor ride and how far does he walk?

  5. No matter how hard he tries, Richard just couldn’t save his money. As soon as he had gotten a few dollars ahead, he would start spending. Just recently, for example, he had a tidy little sum safely tucked away in the local bank and then made three quick withdrawals. The first withdrawal cut his savings in half. The second one removed ¼ of what was left. The third one cut the remainder of his savings in half again and left him with just $15 in the bank. How much did Richard have in his savings before he made the three withdrawals?

  6. A tank can be filled in four hours by one pipe and completely emptied by another in five hours. If both pipes were left open at the same time, how long will it take to fill the tank?

  7. Jim has twice as many sisters as he has brothers. His sister, Jane, has an equal number of brothers and sisters. How many children are there in the family?

  8. If wheel A is rolled once around the outer edge of another wheel of equal size, how many complete revolutions will wheel A make?

    Answers are available with Stumper Set #8.

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Answers to Stumper Set #6

  1. Arthur is a painter and lawyer. Ben is an engineer and teacher. Charles is a doctor and writer.

  2. 9 minutes

  3. 1st, 3rd, and 2nd ((smoke, sound, bullet)

  4. 2 spares – change 2 tires after 6,000 miles and replace them with the 2 spares. Then, at 12,000 miles remove the oldest tires and replace them with the 2 tires you removed at 6000.

  5. 384

  6. $8.00

  7. Never

  8. abstemious – facetiously

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Set #1    Set #2    Set #3    Set #4    Set #5    Set #6    Set #7    Set #8    Set #9    Set #10    Set #11    Set #12    Set #13    Set #14    Set #15    Set #16    Set #17    Set #18    Set #19    Set #20    Set #21    Set #22    Set #23    Set #24

 

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