1. Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?
1. 44 and 66
2. At a sports banquet there are one hundred athletes. Each one is either a football or basketball player. At least one is a football player. Given any two of the athletes, at least one is a basketball player. How many of the athletes are football players?
2. 1. Only one of the athletes is a football player. The other ninety-nine are basketball players.
3. The following number is the only one of its kind. Can you figure out what is so special about it? 8,549,176,320
3. It’s the only number that contains all of the digits in alphabetical order.
4. Jennifer took a test that had 20 questions. The total grade was computed by awarding 10 points for each correct answer and deducting 5 points for each incorrect answer. Jennifer answered all 20 questions and received a score of 125. How many wrong answers did she have?
4. She had five wrong answers. If Jennifer had answered all 20 questions correctly, she would have scored 200. Since she only scored 125, she must have lost 75 points. Since each incorrect answer results in a total loss of 15 points (10 for not getting it correct and 5 for answering incorrectly) she must have missed 5 questions. 5 x 15 = 75, 200 – 75 = 125.
5. You have 55 coins totaling $10.00. There are more nickels than pennies, more dimes than nickels, and more quarters than dimes. How many of each coin do you have?
5. 35 quarters ($8.75), 9 dimes (90 cents), 6 nickels (30 cents), and 5 pennies (5 cents).
6. A box of candy bars can be divided equally (without cutting anything) among 2, 3, or 7 people. What is the least number of candy bars the box could contain?
6. 42. The lowest common denominator of 2, 3, and 7 is 2 x 3 x 7 or 42.
7. Using standard mathematical symbols, e.g. +, -, x, etc., rearrange (4) fives to equal the numbers one to ten. For example, 5/5 + 5 – 5 = 1, 5/5 + 5/5 = 2, etc.
7. 1 = (5 / 5) x (5 / 5), 2 = (5 / 5) + (5 / 5), 3 = (5 + 5 + 5) / 5, 4 = ((5 x 5) – 5) / 5
5 = ((5 – 5) / 5 ) + 5, 6 = ((5 x 5) + 5) / 5, 7 = 5 + ((5 + 5) / 5),
8 = (5 – (5 / 5)) x .5 9 = 5 + 5 – (5 / 5) 10 = 5 + 5 x (5 / 5)

8. Use each of the digits 1, 2, 3, 4, 5 and 6 once only, in this multiplication problem to make it correct.

? ?
x ?
——
? ? ?
8. 54 x 3 = 162.

9. Bob is ten years older than his brother Stan. There was a time when Bob was three times as old as Stan. What was Stan’s age when Bob was three times as old?
9. Stan was 5 years old and Bob was 15 years old.
Here’s one way to solve this:

Let Bob be “x” years old. Stan is then x – 10 years old. At one time Bill was three times as old as Stan; so in order to set up an equation, you would have to multiply Stan’s age by 3.

x = 3 (x – 10)
x = 3x – 30
-2x = -30
2x = 30
x = 15
10. Can you replace the question marks with three math symbols to make the following equation correct:
(2 ? 3) ? (6 ? 2) ? (3 ? 1) = 5
10. Here are some possible answers:
(2 x 3) + (6 / 2) – (3 + 1) = 5.
(2 + 3) – (6 – 2) + (3 + 1) = 5.
(2 – 3) + (6 – 2) + (3 – 1) = 5.
(3 + 2) x (6 / 2) / (3 x 1) = 5.

11. Can you find four consecutive prime numbers that add up to 220?
11. 47 + 53 + 59 + 61 = 220
12. If I buy an apple and a banana, the cost will be $1.19. If I buy an apple and a pear, the cost will be $1.45. If I buy a banana and a pear, the cost will be $1.40. What are the individual prices?
12. pear = 83 cents, banana = 57 cents, apple = 62 cents.
13. A two-digit number when read from left to right, is 4.5 times less than the same number read from right to left. What is the number?
13. 18.
14. Barry went to a sporting goods store with $100 to buy some golf equipment. If he spent $40 on a new driver, 20% of what was left on a new putter, 1/8 of his original money on golf balls, and 31/71 of what was left of his money on a golf cart, how much money does he have left?
14. $20.00. After he spent $40.00 on a new driver, he had $60.00 left. Twelve dollars was spent on the new bag, leaving him with $48.00. One eighth of his original $100 ($12.50) was spent on golf balls. This leaves him $35.50 ($48.00-$12.50). He then spends 31/71 on the golf cart, or $15.50. He now $20.00 ($35.50 – $15.50).
15. If 3 salesman can sell three stoves in 7 minutes, how many stoves can six salesmen sell in seventy minutes?
15. 60.

16. You have a cake which you must cut into 8 equal pieces. You may make only 3 cuts. How will do this?
16. Make the first two cuts like an X from the top of the cake. Now slice the cake horizontally – thus getting 8 equal pieces.

17. Which number when added to 5/4 gives the same result as when it is multiplied 5/4?
17. 5
18. In the square below, a rule applies both from top to bottom and from left to right. Find the rule and figure out the missing number.
6 2 4
2 ? 0
4 0 4
18. 2

19. What is the missing number in this arrangement?
1 2 3 4 5
1 3 7 15 31
1 4 13 40 121
1 5 21 85 ???
19. 341
20. A fish is fifteen inches long. Its head is as long as its tail. If the head were twice as long as it really is, the head and tail would together be as long as what’s in between. How long is each part of the fish?
20. The head and tail are each three inches long; the rest is nine.

(Q*10) + (20-Q)*(-5)=125

so,
10Q -5(20-Q)=125
15Q=225
Q=15 correct Question
So the wrong Q is 5!

http://www.knowledgebase-script.com/demo/article-596.html

It said ONE of them not both so the answer is: one nickel and one 50 cent piece. It’s a trick question built into the words…

#3- 8,549,176,320
I disagree with Tuffy. Any combination of this number is divisible by 9, and sum to a multiple of 9. This includes 9,867,123,540 and such numbers which would contradict.

Hint: Eight, FIve, FOur, Nine, One, SEven, SIx, THree, TWo, Zero.

can anyone explains me the #2. :/ i am confused