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<body bgcolor="aqua"><center><h2>Oddman Out and Series</h2></center>
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<strong>Introduction:</strong>
In any type of problems,a set of numbers is given in such a way
that each one except one satiesfies a particular definite
property.The one which does not satisfy that characteristic is
to be taken out. Some important properties of numbers are
given below :
1.Prime Number Series
Example:
2,3,5,7,11,..............
2.Even Number Series
Example:
2,4,6,8,10,12,...........
3.Odd Number Series:
Example:
1,3,5,7,9,11,...........
4.Perfect Squares:
Example:
1,4,9,16,25,............
5.Perfect Cubes:
Example:
1,8,27,64,125,.................
6.Multiples of Number Series:
Example:
3,6,9,12,15,..............are multiples of 3
7.Numbers in Arthimetic Progression(A.P):
Example:
13,11,9,7................
8.Numbers in G.P:
Example:
48,12,3,.....
<b>Some More Properties:</b>
1. If any series starts with 0,3,.....,generally the relation
will be (n2-1).
2. If any series starts with 0,2,.....,generally the relation
will be (n2-n).
3. If any series starts with 0,6,.....,generally the relation
will be (n3-n).
4. If 36 is found in the series then the series will be in n2
relation.
5. If 35 is found in the series then the series will be in
n2-1 relation.
6. If 37 is found in the series then the series will be in n2+1
relation.
7. If 125 is found in the series then the series will be in n3
relation.
8. If 124 is found in the series then the series will be in n3-1
relation.
9. If 126 is found in the series then the series will be in n3+1
relation.
10. If 20,30 found in the series then the series will be in n2-n
relation.
11. If 60,120,210,........... is found as series then the series
will be in n3-n relation.
12. If 222,............ is found then relation is n3+n
13. If 21,31,.......... is series then the relation is n2-n+1.
14. If 19,29,.......... is series then the relation is n2-n-1.
15. If series starts with 0,3,............ the series will be on
n2-1 relation.
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<b>Problems</b>
1.Find the odd one out.3,5,7,12,17,19
SOLUTION:
The above series except 12 all elements are odd
numbers.so 12 is the odd one.
2.Find the odd one out.1,4,9,16,23,25,36
SOLUTION:
In the above series all elements except 23 are perfect sqares.
so 23 is odd one.
3.Find the odd one out.41,43,47,53,61,71,73,81
SOLUTION:
In the above series all elements except 81 are prime numbers.
so 81 is odd one.
4.Find the odd one out.1,4,9,16,20,36,49
SOLUTION:
In the above series all elements except 20 are perfect squares.
So 20 is odd one.
5.Find the odd one out.8,27,64,100,125,216,343
SOLUTION:
In the above series all elements except 100 are perfect cubes.
so 100 is odd one.
6. Find the odd one out.1,5,14,30,50,55,99
SOLUTION:
In the above series all elements in the pattern like 12,
12+22,12+22+32,................. But 50 is not in this
pattern,so odd one.
7.Find the odd one out.835,734,642,751,853,981,532
SOLUTION:
In the above series,the difference between third and first digit
of each element is equal to its middle digit.But 751 is not in
this pattern,so odd one.
8.Find the odd one out.385,4462,572,396,427,672,264
SOLUTION:
In the above series,the sum of first and third digit of each
element is equal to its middle digit.But 427is not in this
pattern,so odd one.
9.Find the odd one out.331,482,551,263,383,242,111
SOLUTION:
In the above series,the product of first and third digit of
each element is equal to its middle digit. But 383 is not in this
pattern,so odd one.
10. Find the odd one out.2,5,10,17,26,37,50,64
SOLUTION:
In the above series,the elements are in the pattern of x2+1,
Where x is 1,2,3,4,5,6,7.but 82+1 is not equal to 64.It is
65.64 is odd one.
11.Find the odd one out. 19,28,39,52,67,84,102
SOLUTION:
In the above series,the elements are in the pattern of x2+3,
Where x is 4,5,6,7,8,9,10.but 102+3 is not equal to 102.
It is 103.so 102 is odd one.
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12.Find the odd one out.253,136,352,460,324,613,244
SOLUTION:
In the above series,the elements are in the pattern of x2+3,
Where x is 4,5,6,7,8,9,10.but 102+3 is not equal to 102.It is
103.so 102 is odd one.
13.Find the odd one out. 2,5,10,50,500,5000
SOLUTION:
In the above series,the pattern as follows:
1st term * 2nd term = 3rd term
2nd term * 3rd term = 4th term
3rd term * 4th term = 5th term
But 50*500=25000 which is not equal to 5000.
so 5000 is odd one.
14.Find the odd one out. 582,605,588,611,634,617,600
SOLUTION:
In the above series, alternatively 23 is added and 17 is
subtracted from the terms. So 634 is odd one.
15.Find the odd one out.46080,3840,384,48,24,2,1
SOLUTION:
In the above series,the terms are successively divided by
12,10,8,6,..... so 24 is not in this pattern.
so 24 is odd one.
16.Find the odd one out.5,16,6,16,7,16,9
SOLUTION:
In the above series,the terms at odd places are 5,6,7,8.......
and at even places is 16. So 9 is odd one.
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