The BrainBashers Speed Skating championship was recently completed, however, the computer storing the results suffered from a power cut!
Using the following snippets of information, can you work out who finished where, their ages (18, 21, 24, and 28), and the colour they wore?
The youngest, who didn't wear blue, won the championship. Jesse was three years younger than the person who wore red. Kelly performed well to finish in second place. Logan wore green, and Max was the oldest competitor. The person who wore yellow was younger than Kelly. The person who came last was 21.
Answer
#1 Logan Green 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse Yellow 21
Reasoning
By (1), the 18-year-old won the championship.
By (3), Kelly finished second.
By (6), the person who came last was 21.
#1 18
#2 Kelly
#3
#4 21
By (4), Max was the oldest competitor at 28, and can only have finished third. Which means that Kelly must have been 24.
#1 18
#2 Kelly 24
#3 Max 28
#4 21
By (2), the person who wore Red can only be 21 or 24, so Max can't have worn Red. Max didn't wear Green (4), and didn't wear Yellow (5), so Max must have worn Blue.
#1 18
#2 Kelly 24
#3 Max Blue 28
#4 21
By (5), Kelly didn't wear Yellow, and by (4) didn't wear Green, so must have worn Red.
#1 18
#2 Kelly Red 24
#3 Max Blue 28
#4 21
By (2), Jesse was 21. Which means that Logan was 18.
#1 Logan 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse 21
By (4), Logan wore Green. Which means that Jesse wore Yellow.
#1 Logan Green 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse Yellow 21
?
Puzzle 2
Within the BrainBashers school, the science department has three disciplines.
In total, 280 students study chemistry, 254 students study physics, and 280 students study biology.
In total, 97 students study chemistry and physics, 138 students study physics and biology, and 152 students study chemistry and biology.
73 students study all three disciplines.
Can you determine how many students there are in the science department? The answer is not 814.
Hint
How many students study chemistry and physics, but not biology?
Answer
500 students.
Reasoning
The answer is more easily seen if three intersecting circles are drawn, and the numbers inside each section are worked out.
We know that 73 students study all three disciplines, which allows us to work out the numbers.
97 students study chemistry and physics, so 97 − 73 = 24 study just chemistry and physics.
138 students study physics and biology, so 138 − 73 = 65 study just physics and biology.
152 students study chemistry and biology, so 152 − 73 = 79 study just chemistry and biology.
280 students study chemistry, so 280 − 73 − 24 − 79 = 104 study just chemistry.
254 students study physics, so 254 − 73 − 24 − 65 = 92 study just physics.
280 students study biology, 280 − 73 − 65 − 79 = 63 study just biology.
For a total of: 104 + 92 + 63 + 24 + 65 + 79 + 73 = 500 students.
