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17.Find the odd one out.6,13,18,25,30,37,40
SOLUTION:
In the above series,the difference between two successive terms
from the beginning are 7,5,7,5......... so 40 is odd one.
18.Find the odd one out.56,72,90,110,132,150
SOLUTION:
The above series as follows:
7*8,8*9,9*10,10*11,11*12,12*13.
So it will be 56,72,90,110,132,156 so 150 is wrong.
19.Find the odd one out. 1,2,6,15,31,56,91
SOLUTION:
Add 1square ,2square ,....,6square to the terms.
so 91 is wrong.
20.Find the odd one out.105,85,60,30,0,-45,-90
SOLUTION:
Subtract 20,25,30,35,40,45 from the terms.
So 0 is odd one.
21.Find out the odd one out.3,10,21,36,55,70,105
SOLUTION:
The pattern in the series is
1*3, 2*5, 3*7, 4*9, 5*11, 6*13, 7*15.
So the series will be 3,10,21,36,55,78,105.
So 70 is wrong term in the series.
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22.Find out the odd one out. 4,9,19,39,79,160,319
SOLUTION:
Double the number and add 1 to it.
So the series will be 4,9,39,79,159,319. So 160 is wrong.
23.Find out the odd one out.10,14,28,32,64,68,132.
SOLUTION:
Alternatively add 4 and double the next term.
So 132 is wrong.
<b>COmplex Problems</b>
1.Find the missing term in the series:
4,-8,16,-32,64,( )
SOLUTION:
The terms are doubled and change the sign.
So the next term is -128
2.16,33,65,131,261,( )
SOUTION:
The terms are doubled and 1 is added.
So 261*1+1=522+1=523
So the missing term is 523.
3.2,6,12,20,30,42,56,( )
SOLUTION:
The pattern is
1 * 2 , 2 * 3 , 3 * 4 , 4 * 5 , 5 * 6 , 6 * 7 ,
7 * 8 , 8 * 9 .
So the series is 2,6,12,20,30,42,56,72.
So 72 is the missing term.
4. 8,24,12,36,18,54,( )
SOLUTION:
Numbers are alternatively multiplied by 3 and
divided by 2. So the next term is 54 / 2 = 27.
5. 165,195,255,285,345,( )
SOLUTION:
Each number is 15 multiplied by a prime number.
i.e the series is 15*11,15*13,15*17,15*19,15*23,15*29.
So series is 165,195,255,285,345,435.
So 435 is the missing term.
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6. 7,16,63,124,215,342,( ).
SOLUTION:
Numbers are 23 -1,33-1,43-1,....................so 83-1=511.
So 511 is the missing term.
7.2,4,12,48,240,( )
SOLUTION:
Go on multiplying by 2,3,4,5,6.
So the last term in the series is 240*6=1440.
8.8,7,11,12,14,17,17,22,( )
SOLUTION:
There are two series 8,11,14,17,20 and 7,12,17,22
So increasing by 3 and 5.So 20 the missing term.
9.71,76,69,74,67,72,( )
SOLUTION:
Alternately add 5 and subtract 7.
so the series is 71+5=76
10.10.2,5,9,19,37
SOLUTION:
Second number is one more than twice the first,Third
number is one less than twice the second,Forth is one
more than twice the third and so on.
So the next number is 2 * 37 + 1 = 74+1 = 75.
11. Find the wrong number in the given series.
3,8,15,24,34,48,63
SOLUTION:
The difference between consecutive terms are
respectively 5,7,9,11,13.
So 34 is the wrong number in the series.
12. 125,106,88,76,65,58,53
SOLUTION:
Subtract 24,21,18,15,12,9 from the numbers to get the
next number.
So 128 is wrong.
13. 1,1,2,6,24,96,720
SOLUTION:
Multiply with 1,2,3,4,5,6 to get the next number.
So 96 is wrong.
14 . 32,36,41,61,86,122,171,235
SOLUTION:
Second term = First term + 22
Third term = Second term + 32
Fourth term = Third term + 42
Fifth term = Forth term + 52
Sixth term = Fifth term + 62
Seventh term = Sixth term + 72
So the third term should be 45 instead of 41.
15 . 15,16,34,105,424,2124,12576
SOLUTION:
Second term = First term * 1 + 1 = 16
Third term = Second term * 2 + 2 = 34
Forth term = Third Term * 3 + 3 = 105
Fifth term = Forth term * 4 + 4 = 424
Sixth term = Fifth term * 5 + 5 =2125
Seventh term = Sixth term * 6 + 6 = 12576.
So 2124 is wrong.
16 . 40960,10240,2560,640,200,40,10
SOLUTION:
Go on dividing by 4 ,the series will be
40960,10240,2560,640,160,40,10.
So 200 is wrong.
17.7,8,18,57,228,1165,6996
SOLUTION:
Let the numbers be A,B,C,D,E,F,G then
A,A*1+1,B*2+2,C*3+3,............
so 288 is wrong.
18. 19,26,33,46,59,74,91
SOLUTION:
Go on adding 7,9,11,13,15,17.
So 33 is wrong.
19 . 10,26,74,218,654,1946,5834.
SOLUTION:
Second term = first term * 3 a€“ 4 = 26.
Third term = Second term * 3 a€“ 4 =74
Forth term = Third term * 3 a€“ 4 =218
Fifth term = Forth term * 3 a€“ 4 =650
So 654 is wrong .
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