A merchant has 21 sacks of grain: 7 full, 7 half-full and 7 empty. He wants to divide them equally among his three sons. How can he do this, without transferring any grain between sacks, so each son has the same quantity of grain and number of sacks?
We know each son must end up with 7 sacks and 3.5 sacks of grain, since (7 sacks + 7 half sacks) / 3 = 3.5 sacks each. There are two solutions.
Solution 1 Son 1: 3 full, 1 half-full and 3 empty. Son 2: 3 full, 1 half-full and 3 empty. Son 3: 1 full, 5 half-full and 1 empty.
Solution 2 Son 1: 2 full, 3 half-full and 2 empty. Son 2: 2 full, 3 half-full and 2 empty. Son 3: 3 full, 1 half-full and 3 empty.
We know each son must end up with 7 sacks and 3.5 sacks of grain, since (7 sacks + 7 half sacks) / 3 = 3.5 sacks each. There are two solutions.
Solution 1 Son 1: 3 full, 1 half-full and 3 empty. Son 2: 3 full, 1 half-full and 3 empty. Son 3: 1 full, 5 half-full and 1 empty.
Solution 2 Son 1: 2 full, 3 half-full and 2 empty. Son 2: 2 full, 3 half-full and 2 empty. Son 3: 3 full, 1 half-full and 3 empty.
Dustin was born on December 28th yet his birthday always falls in the summer. How is this possible?
Dustin is Australian, where the three hottest summer months are December, January and February.
Dustin is Australian, where the three hottest summer months are December, January and February.
I have seven letters and am something you eat. My only anagram can help your pain. If you remove my first 2 letters I wear things down. Removing my first 3 letters is an adjective and removing my first 4 letters leaves a measure of time.
What am I?
Sausage. You eat sausage, assuage is the only single-word anagram and provides relief from pain. Usage wears things down, sage is an adjective and age is a measure of time.
Sausage. You eat sausage, assuage is the only single-word anagram and provides relief from pain. Usage wears things down, sage is an adjective and age is a measure of time.
Tear one off and scratch my head, what once was red is black instead. What am I?
A match. You tear a match out of a matchbook and scratch the head to light it, then the red tip turns black from the flame.
This is an exact duplicate of Tear One Off and Scratch My Head but I’m leaving it to avoid broken links.
A match. You tear a match out of a matchbook and scratch the head to light it, then the red tip turns black from the flame.
This is an exact duplicate of Tear One Off and Scratch My Head but I’m leaving it to avoid broken links.
What is the next number in this series?
1, 2, 6, 42, 1806, ___
To get the next number, multiply the previous number in the series by itself plus one:
n × (n + 1).
For example, to get 6, multiply 2 × (2 + 1) To get 42 multiply 6 × (6 + 1)
Thus, 1806 × 1807 = 3263442
To get the next number, multiply the previous number in the series by itself plus one:
n × (n + 1).
For example, to get 6, multiply 2 × (2 + 1) To get 42 multiply 6 × (6 + 1)
Thus, 1806 × 1807 = 3263442
Two words is my answer. In order to keep me, you have to give me. What am I?
Your word.
Starting with the word STANDARD, how can you take away two letters and add three digits to make a logical sequence?
Remove the two A’s, leaving: ST ND RD Add 1, 2, 3 to produce: 1st, 2nd, 3rd.
Remove the two A’s, leaving: ST ND RD Add 1, 2, 3 to produce: 1st, 2nd, 3rd.
There are two meanings to me. With one I may need to be broken, with the other I hold on. My favorite characteristic is my charming dimple. What am I?
A tie.
I appear in the morning but am always there. You can never see me though I am everywhere. By night I am gone, though I sometimes never was. Nothing can defeat me but I am easily gone.
What am I?
Sunlight.
I belong to everyone. Sometimes I make you happy, sometimes I make you sad. I will never end until the day you do.
Your thoughts.