There are four pairs of words below. Rearrange one of the words in the pair to form a word that rhymes with the other word. For example, if you had the following pair of words:
FRINGE LINGER
You would rearrange FRINGE into FINGER, which rhymes with LINGER. You can rearrange the letters of either word.
1. MOPIER PERIOD
2. GHOULS SCRUFF
3. JAILED LEVIED
4. WEIGHT ARTIST
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.
This thing all things devours,
Birds, beasts, trees, and flowers.
Gnaws iron bites steel,
Grinds hard stones to meal,
Slays king, ruins town,
And beats high mountain down
Mike, Jimmy, Nader, Kevin, and Larry were the top five finishers in the regional 500-mile race. They drove yellow, orange, green, red and blue cars but not necessarily in that order.
Neither Kevin nor Larry drove the green car.
Kevin finished faster than Mike and Larry.
The blue car finished earlier than Larry’s and Nader’s car.
The yellow car finished faster than the green car and the orange car.
Mike’s and Larry’s car finished ahead of the orange car.
Jimmy’s car finished before the blue and the yellow car.
Who drove what color car and what place did each driver finish?