Post by Anderson Cooper on Dec 29, 2008 19:37:35 GMT -5
Solutions:
1) Jane is as old as Joan was when Jane was half as old as Joan is now. Four years ago, Jane was as old as Joan was when Jane was a third as old as Joan is now. How old will Jane be in two years?
statement 1: Jane = Joan – (Jane – Joan/2) -> 4/3 Jane = Joan
statement 2: Jane – 4 = Joan – (Jane – Joan/3) -> 3/2 Jane – 3 = Joan
solving the system of equations yields their current ages as: Jane = 18, Joan = 24
in 2 years, Jane will be 20
2) Which word, when put into the blank, makes the following sentence true?
This sentence has _________ occurrences of the letter 'e.'
There are 9 e’s in the sentence already. However, nine doesn’t work since ‘nine’ has an e in it so would make a total of ten which would make the sentence false. ‘Ten’ is the correct answer, nine e’s plus one in ‘ten’ makes ten e’s.
3) Which number follows in the sequence below?
1 49 162 5364 96481
Rearranging the spaces yields a list of perfect squares: 1 4 9 16 25 36 49 64 81. The next two are 100 and 121 so the 6 digit number is 100121.
4) There are 30 people at a party. All the men shake hands with each other, and all the women shake hands with each other, but no man shakes hands with a woman. If 219 handshakes were exchanged, and there are less women than men, how many men are at the party?
handshake formula: n(n-1)/2 actually a combination nC2 (n people taken 2 at a time)
if male = m and female = f; solve for m:
m(m-1)/2 + f(f-1)/2 = 219 and m + f = 30
if m > f then m = 18 and f = 12
5) Which word fits in the blank?
rock : cure : menu
able : ___ : idle
From Paris: It's lead. It works like this. If you were to examine the puzzle, you'd see that each of the first three words have letters in common,
rock:cure:menu
The function is that letters 1 and 3 of the first word becomes the 3rd and 1st letters in the second word, and that letters 2 and 4 of the third word become letters 4 and 2 of the second word. If you were to follow this function for the blank puzzle;
able:lead:idle
and now the results:
TEAM 1
puzzle 1: incorrect
puzzle 2: correct
puzzle 3: correct
puzzle 4: correct
puzzle 5: correct
$16,000
no exemption
TEAM 2
puzzle 1: correct
puzzle 2: correct
puzzle 4: correct
$12,000
no exemption
TEAM 3
puzzle 1: incorrect
puzzle 2: incorrect
puzzle 3: correct
puzzle 4: correct
puzzle 5: correct
$12,000
no exemption
TEAM 4
puzzle 1: incorrect
puzzle 2: correct
puzzle 3: correct
puzzle 4: incorrect
puzzle 5: incorrect
$8,000
no exemption
TEAM 5
puzzle 2: correct
puzzle 3: correct
puzzle 4: correct
$12,000
no exemption
TOTAL: $60,000
1) Jane is as old as Joan was when Jane was half as old as Joan is now. Four years ago, Jane was as old as Joan was when Jane was a third as old as Joan is now. How old will Jane be in two years?
statement 1: Jane = Joan – (Jane – Joan/2) -> 4/3 Jane = Joan
statement 2: Jane – 4 = Joan – (Jane – Joan/3) -> 3/2 Jane – 3 = Joan
solving the system of equations yields their current ages as: Jane = 18, Joan = 24
in 2 years, Jane will be 20
2) Which word, when put into the blank, makes the following sentence true?
This sentence has _________ occurrences of the letter 'e.'
There are 9 e’s in the sentence already. However, nine doesn’t work since ‘nine’ has an e in it so would make a total of ten which would make the sentence false. ‘Ten’ is the correct answer, nine e’s plus one in ‘ten’ makes ten e’s.
3) Which number follows in the sequence below?
1 49 162 5364 96481
Rearranging the spaces yields a list of perfect squares: 1 4 9 16 25 36 49 64 81. The next two are 100 and 121 so the 6 digit number is 100121.
4) There are 30 people at a party. All the men shake hands with each other, and all the women shake hands with each other, but no man shakes hands with a woman. If 219 handshakes were exchanged, and there are less women than men, how many men are at the party?
handshake formula: n(n-1)/2 actually a combination nC2 (n people taken 2 at a time)
if male = m and female = f; solve for m:
m(m-1)/2 + f(f-1)/2 = 219 and m + f = 30
if m > f then m = 18 and f = 12
5) Which word fits in the blank?
rock : cure : menu
able : ___ : idle
From Paris: It's lead. It works like this. If you were to examine the puzzle, you'd see that each of the first three words have letters in common,
rock:cure:menu
The function is that letters 1 and 3 of the first word becomes the 3rd and 1st letters in the second word, and that letters 2 and 4 of the third word become letters 4 and 2 of the second word. If you were to follow this function for the blank puzzle;
able:lead:idle
and now the results:
TEAM 1
puzzle 1: incorrect
puzzle 2: correct
puzzle 3: correct
puzzle 4: correct
puzzle 5: correct
$16,000
no exemption
TEAM 2
puzzle 1: correct
puzzle 2: correct
puzzle 4: correct
$12,000
no exemption
TEAM 3
puzzle 1: incorrect
puzzle 2: incorrect
puzzle 3: correct
puzzle 4: correct
puzzle 5: correct
$12,000
no exemption
TEAM 4
puzzle 1: incorrect
puzzle 2: correct
puzzle 3: correct
puzzle 4: incorrect
puzzle 5: incorrect
$8,000
no exemption
TEAM 5
puzzle 2: correct
puzzle 3: correct
puzzle 4: correct
$12,000
no exemption
TOTAL: $60,000