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PROBLEM SOLVING 1001


Number (PSN1001)

[one] Name this 3-digit number. My hundreds digit is an even number which is also a factor of 16, but not of 12. My ones digit is half the hundreds digit. The ones digit and the tens digit are both factors of the hundreds digit and make a sum of 6. Which number am I?

Hint

[two] Name this 3-digit number. My ones column is the largest and is also a factor of 24, but not of 16. My hundreds digit is odd and is the smallest value. If you add all my digits together, the sum is 11. Which number am I?

Hint

[three] A bank manager is making up a meeting schedule for four people who bank at his bank. She decides to arrange the four people in order of who has the most money. The amounts of money are:
$32,100.00
$322,440.00
$17,900.00
$32,400.00
See if you can figure out:
(a) the order of her interviews
(b) how much money each person has.
CLUES:
Marcia has less money than everyone except Len. James has more money than Len. Carl does not have the most money, but does have more money than Marcia.

Hint

[four] A bank manager is making up a meeting schedule for four people who bank at his bank. She decides to arrange the four people in order of who has the most money. The amounts of money are:
$400,000.00
$40,000.00
$400,800.00
$40,900.00
See if you can figure out:
(a) the order of her interviews
(b) how much money each person has.

CLUES:
Ania has the least amount of money. Penny has more money than Ora, but less than Alice.

Hint

[five] A group has been working with an abacus. Unfortunately, the abacus falls and all the counters fall off. The group members remember these clues:
a) The tens digit was one less than the ones digit.
b) The sum of the ones and tens digit is the same as the hundreds digit.
c) The sum of all three digits is 10.
Can you name the number?

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Organise the CLUES logically!!!

Marcia is second to last. It should be obvious who is last. Another hint

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Factors of 24 are: 1, 24, 2, 12, 3, 8, 4, 6
Factors of 16 are: 1, 16, 2, 8, 4

Another Hint

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Important point: The ONES digit is the largest value!

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The person with the most money must be either Carl or James.

Read the last two clues again!

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Ania must be last.

Another hint

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James, Carl and Marcia all have more money than Len.

Another Hint

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The last three people to think about are: Penny, Ora and Alice.

Penny must be ahead of Ora.

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The digits you have so far (ie. the TENS and HUNDREDS) should add up to 9. Now you should be able to work out what the ONES digit must be.

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The TENS digit is 2

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Factors of 21 and 12 (mixed up) are: 1, 21, 12, 2, 6, 3, 4, 7.
Just remember, you're looking for a PRIME NUMBER!

Another Hint

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Factors of 24 which are not factors of 16 = 24, 12, 3, 6.
Of course, 24 and 12 can't be the missing digit, so that leaves either 3 or 6.

Another hint

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The hundreds digit is odd, so it can only be one of these: 1, 3, 5, 7, 9
Don't forget: the hundreds digit is the smallest!

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Factors of 10 and 9 are: 1, 9, 10, 2, 5, 3.
Don't forget: you need an EVEN number!

Another hint

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