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.
I am a word of meanings three. Three ways of spelling me there be. The first is an odour, a smell if you will. The second some money, but not in a bill. The third is past tense, a method of passing things on or around.
Can you tell me now, what these words are, that have the same sound?
Jim was canoeing on a lake when a sudden thunderstorm blew in tipped his boat. He swam to a rocky island about a mile from his family’s cottage and found a small, abandoned shack. Inside was an old kerosene lamp and a few matches. All the wood on the island was too damp to burn and the lamp was his only means of signaling for help but it only held an inch of kerosene, not enough to reach its short wick. How did he get the lamp burning to summon help?
Knowing kerosene and water wouldn’t mix and kerosene is less dense than water, he dipped the lamp in the lake and filled it with enough water so the kerosene rose to the top to cover the wick. The lamp was still burning an hour later when a motorboat rescued him.
There was a neighborhood of one-story houses. One was red and everything in the house was red. Another was purple and everything in the house was purple. Yet another was yellow and everything in the house was yellow. Still another was blue and everything in the house was blue. In the green house everything was green, and in the gray house everything was grey.
You’re riding a horse. To the right of you is a cliff and in front of you is an elephant moving at the same pace and you can’t overtake it. To the left of you is a hippo running at the same speed and a lion is chasing you. How do you get to safety?