PSN1000

PROBLEM SOLVING 1000

Number

[one] Name this 3-digit number. My tens column is a prime number which is also a factor of 21, but not of 12. My hundreds digit is a factor of 10 but not 9, and I am not an even number. If you add all my digits together, the sum is 10. Which number am I?

Hint

[two] Name this 3-digit number. My ones column is not a prime number which is a factor of 27, but not of 6. My hundreds digit is a factor of 24 but not 18, and I am an even number. If you add all my digits together, the sum is 17, and my hundreds and tens digits are the same. 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:
$106,400.00
$336,600.00
$301,200.00
$324,600.00
See if you can figure out:
(a) the order of her interviews
(b) how much money each person has.
CLUES:
Sam has more money than Jake but does not have the most money. Penny has the least amount of money. Jake has less money than everyone except Penny. Lucy has more money than Penny.

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:
$42,700.00
$424,600.00
$111,500.00
$379,100.00
See if you can figure out:
(a) the order of her interviews
(b) how much money each person has.

CLUES:
Billy has more money than Sasha. Sasha has less money than April. April has more money than two people. Trudy has less money than everyone.

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 half the hundreds digit.
b) The ones digit was the largest.
c) The ones digit was double the hundreds digit.
d) The sum of all three digits is 7.
Can you name the number?

Hint