Fill in the missing words to make a phrase with both the left and right hand sides. For instance, if you were given GRAPE __________ FLY, the missing word could be FRUIT, making GRAPEFRUIT and FRUIT FLY.
1. TOP __________ AGENT
2. PROXY __________ OF NO CONFIDENCE
3. SECOND-HAND __________ DETECTOR
4. THE SACK OF __________ APPLE
5. ST. LOUIS __________ SIN
Once you have the words, what event does it represent?
The next number in the sequence is n squared minus m or f(n,m) = n2 – m
f(6,9) = 62 – 9 = 27
f(9,27) = 92 – 27 = 54
f(27,54) = 272 – 54 = 675
f(54,675) = 542 – 675 = 2241
Last winter I found myself locked out of my house because I couldn’t remember the 5-digit code to open the garage door. I used the following facts to get inside.
1. The second and third digits add up to 9.
2. The first digit is equal to the second digit cubed.
3. The sum of the third and fifth digits is the smallest number with exactly five divisors.
4. The fourth digit is equal to 6 times the second-to-last digit.
5. None of the digits repeat.
If we label each digit a, b, c, d and e, we get the following equations.
1. b + c = 9
2. a = b3
3. c + e = 16 (since 16 is the smallest number with five divisors – 1, 2, 4, 8 and 16).
4. d = 6 * d (The fourth and second-to-last digits are the same number, meaning d must be zero to satisfy the equation)
5. b must be zero, one or two (b can’t be three because that makes a=27, which isn’t a single digit). Zero and one result in duplicate digits (00907 and 11808 respectively) so the only remaining value for b is 2, giving us 82709 and warmth.
Money is right above my reach, I’m barely staying out of The Emergency Room (It is right below me), Room #3 is to my left, Room #5 is to my right with a 5% interest rate.
The number 4 key on a QWERTY keyboard. $ is money, ER (an abbreviation for Emergency Room) are the two letters immediately below the number 4 key, the #/3 key is to the left and the 5/% key is to the right.
Think of the six-letter name of a European capital city whose starting letter falls in the last half dozen letters of the alphabet and whose last letter is a vowel.
Now think of a three-letter words that means “permit”.
Last, combine all nine letters from the two words above. Rearrange the letters to form a word that you might call someone you like.