Find a six-digit number containing no zeros and no repeated digits that satisfies the following conditions:
1. The first and fourth digits sum to the last digit, as do the third and fifth digits. 2. The first and second digits when read as a two-digit number equal one quarter the fourth and fifth digits. 3. The last digit is four times the third digit.
If you call the number ABCDEF, then you get the following equations.
1. A + D = F and C + E = F 2. AB = DE / 4 3. F = 4 × C
The only numbers that work for C and E are 2 and 6 or 4 and 8, and in order to make F a single-digit number, we can deduce that C = 2, E = 6 and F = 8.
So far, our number is AB2D68.
We know A + D = 8 so A and D are both odd numbers. The only odd number less than 8 that we can use for D to make one-quarter of two-digit number D6 also be a two-digit number is 7, so D = 7 and A is 1. This makes the two-digit number AB 19.
A seven letter word that has T as the second letter, A as the fourth letter and S as the sixth letter. Girls love it, boys use it, parents hate it and it scares animals. Hint: It’s a German word.
A persistent puzzle solver will discover that no English word satisfies the letter requirements, to say nothing of the loving, using, hating or being scared requirements. I found three German words that work:
1) strafst 2) strapse 3) strauss
1 and 3 mean punish and bouquet respectively. I couldn’t find a definition for strapse. Punish is the likely answer. Girls love to punish boys, boys use punishment as well, a good parent hates to use punishment and animals are scared of it. I don’t know of any animals that are scared of a bouquet, though a bouquet fits as something girls love and boys use.
What three or four-letter word belongs between the word on the left and the word on the right so that the first and second, and second and third words form a compound word or phrase?
For example: FOOT _ _ _ _ PARK would be BALL, or FOOTBALL and BALL PARK.
1. FALL _ _ _ CROP 2. KNEE _ _ _ SIZE 3. BOARD _ _ _ _ WAY
The four suits in a deck of standard playing cards
The Spade is a gardener’s tool.
The Diamond is the hardest gem to break. “Little Girl and Queen” is a Mother Goose rhyme, in which the Queen gave the girl a large diamond for picking the Queen some roses.
The Heart bonds with the mind to form love. Absence makes the heart grow fonder.
The Club, or Clover, is three dots connected around a stem.
