Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero.
ABCD*EF=GHJB*KE, and:
(EH)2 + (KC)2 = (KH)2
Determine all possible value(s) of a 8-digit base 10 positive integer having the form ABCDEFGH, where each of the capital letters denotes a different digit from 1 to 9, that satisfy each of the following conditions:
(I) AB is divisible by 2, and:
(II) BC is divisible by 6, and:
(III) CD...
Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero.
(ABC)*(DE)=(BCD)*(BF), and:
FA+DF- CE=1
Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero.
GEORGE + RUGGLE + 15750 + 16220 + P = PPPPPP, and:
OE - LR = LO, and:
RUGGLE is divisible by 7
In this season's "Dancing with the Celebs" TV series, Harry and nine other famous personalities paired with professional dancers to try to claim this year's title. Each week, one of the celebrities--who are in different entertainment and media fields, with one a stand-up comic--is sent home...
Brian, Amy and Stephanie are waiting at the train station. Each of the three is waiting for a different train.
When they check the station clock, they realize that Amy is going to have to wait twice as long for her train as Brian will for his, while Stephanie will have to wait twice as long...
Substitute each of the capital letters by a base ten digit from 0 to 9 to satisfy this set of cryptarithmetic equations. None of the numbers can contain any leading zero.
ABC*D=C*BCD, and:
BC-CA-AD= 5
A distant planet is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie.
Eight inhabitants of the planet: Marge, Mel, Betty, Bob, Bill, Carl, Zeke and Alice are busy at a conversation, when a visitor from a neighboring planet stops by and asks each of...
The string abbcccddddeeeee… continuously repeats such that after the final z, the letters abbcccddddeeeee… begin again.
What will be the 3000th letter in the pattern?
Six jars are placed (left to right: coffee, arsenic, and sugar on the top shelf; snuff, tea, and salt on the bottom shelf) and, thereafter filled up with these ingredients, making sure each jar contains something other than what the label says.
It is known that:
(i) The salt is located...
Four contestants E, F, G, and H ran for a contest. When asked by a common acquaintance, three spectators A, B, C made the following statements regarding the final results.
1. A said, "Either E or H is the winner."
2. B said, "E is not the winner."
3. C said, "Neither H nor G is the...