Not the World Series, but ...
Find the missing numbers in these series:
1. 1 -- 9 -- 18 -- 25 -- 27 -- 21 -- ?
2. 1 -- 2 -- 4 -- 13 -- 31 -- 112 -- ?
3. 1 -- 4 -- 2 -- 8 -- 5 -- 7 -- ?
4. 9 -- 3 -- 15 -- 7 -- 12 -- ? -- 13 -- 5 -- 17 -- 11
5. 0 -- 2 -- 4 -- 6 -- 8 -- 12 -- 12 -- 20 -- 16 -- ?
6. 16 -- 21 -- 26 -- 26 -- 12 -- ? -- 19
7. 3 -- 4 -- 11 -- 16 -- 27 -- 36 -- ?
Hint: Some of the numbers may not be related mathematically ...
1. 1 -- 9 -- 18 -- 25 -- 27 -- 21 -- ?
2. 1 -- 2 -- 4 -- 13 -- 31 -- 112 -- ?
3. 1 -- 4 -- 2 -- 8 -- 5 -- 7 -- ?
4. 9 -- 3 -- 15 -- 7 -- 12 -- ? -- 13 -- 5 -- 17 -- 11
5. 0 -- 2 -- 4 -- 6 -- 8 -- 12 -- 12 -- 20 -- 16 -- ?
6. 16 -- 21 -- 26 -- 26 -- 12 -- ? -- 19
7. 3 -- 4 -- 11 -- 16 -- 27 -- 36 -- ?
Hint: Some of the numbers may not be related mathematically ...
posted by Zaux at
3:05 PM
17 Comments:
Answer to #6 is 5.
Cam
Answer to #2 is 224.
Cam
Only got the following so far:
1) 4
2) 274
3) 1
Ha I just got number 6, puzzling eh Cam! (Had a typo in number 2, I agree it's 224) So far..
1) 4
2) 224
3) 1
4)
5)
6) 5
7)
Answer #5:
30
Although this is one of numerous interpretations.
Cam
So far:
1. 4 - Simon H.
2. 224 - Cam
3. 1 - Somon H.
4. ?
5. 30 - Cam
6. 5 - Cam
7. ?
Still looking for 4. and 7.
Not the World Series, but ...
Details for series 1,2,3,5,6 (4 not included)
1. )
1 -- 9 -- 18 -- 25 -- 27 -- 21 -- ?
Take the difference of each term (repeat until pattern is revealed)
1,9,18,25,27,21,A
8,9,7,2,-6,Z
1,-2,-5,-8,Y
-3,-3,-3,X
X=-3
Y=-8-3=-11
Z=-6-11=-17
A=21-17=4
Answer:
4
2)
2. 1 -- 2 -- 4 -- 13 -- 31 -- 112 -- ?
Series in base 5
convert series to base 10.
1,2,4,8,16,32,?
?=64
65 in base 5 = 224=2*25+2*5+4
Answer:
224
3.)
1 -- 4 -- 2 -- 8 -- 5 -- 7 -- ?
Series of the the fraction 1/7
1/7=0.142857........
142857 repeats thus next digit is 1
Answer:
1
5.)
0 -- 2 -- 4 -- 6 -- 8 -- 12 -- 12 -- 20 -- 16 -- ?
pattern is 0,2,4,6,8,10,12,14,16,... with the odd terms in base 10 and even terms in decreasing bases
0 base 10=0
2 base 10=0
4 base 10= 9
6 base 9= 9
8 base 10= 10
10 base 8=12
12 base10=12
14 base 7 = 20
16 base 10=16
18 base 6=30
Answer:
30
6.)
16 -- 21 -- 26 -- 26 -- 12 -- ? -- 19
Convert to letters i.e. A=1,B=2...:
P,U,Z,Z,L, ?,S
?=E for the word PUZZLES
E converted back to a number=5
Answer:
5
7.)
3 -- 4 -- 11 -- 16 -- 27 -- 36 -- ?
Take the difference of each term (repeat until pattern is revealed)
3,4,11,16,27,36,A
1,7,5,11,9,Z
6,-2,6,-2,Y
Pattern of 6,-2,6,-2.... appears
Y=6
Z=9+6=15
A=36+15=51
Answer:
51
Cam
1. 4 - Simon H.
2. 224 - Cam
3. 1 - Somon H.
4. ?
5. 30 - Cam
6. 5 - Cam
7. 51 - Cam
Still need .4
Simon ... sorry ...typo on the name ... not intentional
4.Number of medals a country has in the olympics in vancouver in alphabetical order
I have no clue
#4
9,3,15,7,12,?,13,5,17,11
Look at difference
-6,12,-8,5,X-12,13-X,-8,12,6
in order to maintain symmetry of differences 13-X should = 5
thus 13-X=5 X=8
After this the differences of the differences are also symmetrical
9,3,15,7,12,?,13,5,17,11
-6,12,-8,5,-4,5,-8,12,-6
18,-20,13,-9,9,-13,20,-18
......
Answer: 8
Cam
Here's all of them:
Wow Cam ... was not sure anyone would get .4
1. 4 - Simon H.
2. 224 - Cam
3. 1 - Simon H.
4. 8 - Cam
5. 30 - Cam
6. 5 - Cam
7. 51 - Cam
I'm very impressed with the code cracking.
For problem 5 assume the table should be:
0 base 10=0
2 base 11=2
4 base 10=4
6 base 9=6
8 base 10=10
10 base 8=12
12 base 10=12
14 base 7=20
16 base 10=16
18 base 6=30
I really don't know how well I would have done if I'd tried this problem.
"For problem 5 assume the table should be:" was meant to have read, "For problem 5, I assume the table should [have] be[en]:
".
Chris,
For #5 it should read
"with the odd terms in base 10 and even terms in decreasing bases (starting at 10)
0 base 10=0
2 base 10=2
4 base 10= 4
6 base 9= 6
8 base 10= 8
10 base 8=12
12 base10=12
14 base 7 = 20
16 base 10=16
18 base 6=30"
Cam
Cam. So it should, I'm a twit.
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