SERIES COMBINATION



SERIES COMBINATION
A series made up of alphabetical letters or numerals or combinations of both may have one or more terms missing, one term wrong etc. You have to find out the missing term or identify the wrong term in the question from the given options. To solve such problems first identify the rule on which the given series has been generated.

Type – 1 Completion of given number series.
Example 1.  7, 28, 49, 70, 91, 112
a)      135              b) 134              c) 133              d) 130              e) 137
Answer: The difference between the two consecutive terms 28-7 = 49-28 = 70 – 49 = …. is 21.
                So the next term is 112 + 21 = 133
c)      is the correct options

Example 2.  3, 7, 15, 27, 43, 63, __
a)      49              b) 87              c) 89              d) 92              e) 93
Answer: The given series follows the rule +4, +8, +12, +16, +20, +24.
                So the next term is 63 + 24 = 87
b)      is the correct options

Example 3.  1, 2, 6, 15, 31, __
a)      47              b) 52              c) 55              d) 56              e) 61
Answer: The given series follows the rule +1, +4, +9, +25 or +12,+ 22, +32, +42, +52
                So the next term is 31 + 25 = 56
d)     is the correct options

Example 4.  5, 11, 23, 47, 95, __
a)      191              b) 161              c) 169              d) 190              e) 193
Answer: The given series follows the rule x 2+1
                So the next term is 95 x 2+1 = 191
a)      is the correct options

Example 5.  0, 6, 24, 60,___ , 210.
a)      117              b) 119              c) 120              d) 126              e) 153
Answer: The given series follows the rule 13 – 1, 23 – 2, 33 – 3, 44 – 4, 53 – 5, 63 – 6,….
                So the missing term is 53 – 5 = 125 – 5 = 120
b)      is the correct options

Type – 2 Mixing Of Two or More Series.
Example 1.  0, 4, 6, 5, 7, 9, 10, __, 12
a)      8              b) 10              c) 11              d) 14              e) 12
Answer: The sequences is a mixtures of three series:
                  I sequences: 0, 5, 10, …..      II sequences: 4, 7, ……      III sequences: 6, 9, 12, ……
The rule followed by each sequences is +3.
So the missing terms is 7 + 3 = 10
b)      is the correct options
Example 2.  1, 1, 2, 4, 5, 25, 9, 81,  __, 196
a)      14              b) 16              c) 20              d) 25              e) None of these.
Answer: The sequences is a mixtures of two series:
                  I sequences: 1, 2, 5, 9…..             II sequences: 1, 4, 25, 81, 196, ……     
The rule followed by I sequences is +2, +3, +4, +5  & the rule followed by II sequences is the square of corresponding numbers of I sequences.
So the missing terms is 9 + 5 = 14
   a)      is the correct options


Self Practices Test - 1
Each series is followed by four or five options. One of them is right answer. Identify the missing term and indicate it as per “ instructions”.

1.      11, 23, 48, 99, ……….., 409
a.       205                                   b.  200                                c.  202                                   d.   201
2.      0, 7, 26, 63, 124, 215, ………..
a.       295                                   b.  323                                c.  305                                   d.   342
3.      1, 11, 35, 79, ………..
a.       81                          b.  93                          c.  149                             d.   124                e. 136
4.      1, 5, 15, 34, ………..
a.       50                          b.  48                          c.  37                               d.   65                  e 72
5.      3, 13, 31, 57, ………..
a.       65                          b.  72                          c.  88                               d.   94                  e 91
6.      2, 35, 104, 209, ………..
a.       350                        b.  248                        c.  256                             d.   311                 e 413
7.      12, 24, 37, 51, 66, ………..
a.       72                                       b.  82                                 c.  84                                    d.   74                 
8.      4, 9, 20, 43, ………..
a.       90                                       b.  54                                 c.  66                                    d.   80
9.      6, 215, 7, 342, 8, ………..
a.       512                                     b.  216                               c.  343                                   d.   511
10.  200, 64, 100, 32, 50, 16 ………..
a.       25                                       b.  35                                 c.  8                                       d.   45
11.  122, 170, 226, 290, ………..
a.       289                                     b.  362                                c.  290                                  d.   325
12.  730, 511, 344, 215, ………..
a.       125                                     b.  25                                  c.  36                                    d.  126
13.  2.5, 5,  7.5 , ___, 12.5
a.       10                                       b.  22.5                               c.  100                                  d.  150
14.  10,  17, 26, ___, 50,  65
a.       37                                       b.  47                                  c.  33                                    d.   31
15.  4, 9, 25, ___, 121, 169.
a.       36                                       b.  49                                 c.  64                                    d.   81
16.  1,3, 7, 13, 21,___, 43, 57
a.       31                                       b.  29                                 c.  30                                    d.   32
17.  5, 3, 10, 8, 17,15, ___, 24
a.       25                                       b.  23                                 c.  26                                    d.     27
18.  97, 77, 59, __,  29, 17.
a.       34                                       b.  39                                 c.  37                                   d.   43
19.  16, 18, 21, 23,28,30, __, ____.
a.       36, 32                                 b.  39, 37                           c.  37, 39                             d.  34, 40
20.  3, 6, 6, 12, 11,20,18, __, ____.
a.      25, 27                                 b.  36, 30                           c.  26, 36                             d.  30, 27
21.  0, 10, 34, 78,  …..
a.       135                        b.  156                     c.  148                      d.  102                e. 124
22.  7, 31, 211, …..
a.       2311                      b.  2211                   c.  2561                    d.  2781              e. 2111
23.  24, 60, 96, 132,  …..
a.       126                       b.  152                      c.  144                      d.  168                e. 135
24.  7, 6, 10, 27, 104, …..
a.       520                       b.  420                      c.  515                      d.  525                e. 456
25.  1, 5, 15, 34, 65,…..
a.       111                       b.  125                      c.  117                      d.  126                e. 105


Self Practices Test - 2

Some letters are missing in each of the following questions. The missing letters are given in the proper sequences as one of the option. Find the correct option.

1.      ABCA_BCAAB_CA_BBC_A
a.      ABBA                   b. BBAA                    c. CCAA                      d. ABAC
2.      A_CC_AAB_CB_
a.       BCAB                  b. BBCA                     c. ABCA                      d. AABC
3.      A_BBC_AAB_CCA_BBCC
a.       BACB                   b. ABBA                    c. CABA                      d. AABC                e. ACBA
4.      BC_B_C_B_CCB
a.       BBCB                  b. CBBC                    c. CBCB                      d. BCCB                  e. CCBB
5.      C_BCCD_CCDB_CDBCC_BC
a.       DBCD                  b. DBDD                    c. BDAA                      d. BDCD                  e. DCBD
6.      BA_B_AAB_A _B
a.       AABB                  b. BABB                    c. BAAB                      d. ABBA                  e. ABAA
7.      ____cb____ca____bacb___ca____bac____d
a.       bddddb                  b. addddb                   c. bbbddd                     d. addbbb                e. None of these
8.      _ER_F_R_FE_K
a.       KEFKR                  b. EKFKR                  c. FKEKR                   d. FEREF                e. None of these
9.      __K_W_KX_V__
a.       WVXVWKX         b. WXVWVXK         c. XWVKVKV          d. VKXWVKX        e. None of these
10.  __L_H_LO_UL__
a.       OHUOHU              b. HUOUHO              c. UOHUOH              d. OUHUHO          e. None of these
11.  __M_L_MP_VM__
a.       VPIPVI                  b. PVIPIV                    c. IVPVPI                 d. IVPVIP               e. None of these
12.  __HU_I_U_IH_N
a.       IHNUH                  b IUNOU                     c. INHNU                 d. NHUHN              e. None of these
13.  abb_ _ ab _ b _ bba_
a.      bbbab                      b. babba                      c. adaab                     d. bdabb                   e. None of these
14.  _TP_ _N _ P _ _ _ PC
a.       CNPTNT              b. NCPTCN             c. PNTCPT               d. NCTCNT               e. None of these
15.  K_ C _ B _ _KB_
a.       BKCC                  b. CBKC                   c. BCKB                  d. BCKC                     e. None of these
16.  _ _ B_ TM _ BA _ MO _ A_
a.       MTOBTAM        b. MOAOTBT          c. OABTMOA         d. TMOABTM           e. None of these
17.  AZBY, ?, EVFU, GTHS
a.       CRDK                 b. CXDW                   c. CLDO                  d. CIDI                       e. None of these
18.  A, D, I, P, ?
a.       W                         b. X                           c. V                          d. Y                             e. None of these
19.  A, F, J, M, ?.
a.       O                          b. N                            c. Q                         d. P                             e. None of these
20.  BD, HJ, NP,  ?, ZB.
.a.   QS                             b. TV                          c. YC                       d. TU                         e. None of these
21.  _ _, B, _,  TM, _, BA,  _, MO, _, A, _
a.       MTOBTAM              b. MOAOTBT            c. OABTMOA        d. TMOABTM          e. None of these
22.  K, _ , C, _, B, _, KB.
a.       BKCC                 b. CBKC                      c. BCKB                 d. BCKC                   e. None of these
23.  _ TP,_,  N, _, P, _ _ _, PC
a.       CNPTNT             b. NCPTCN                  c. PNTCPT            d. NCTCNT              e. None of these
24.  Z, W, S, N, H, A,   __
a.       T                           b. S                               c. R                        d. Q                          e. None of these.
   
Self Practice Test - 3
There is a series provided to you where a gap is left. Analyse the series and fill the gap;
1.      J99, H63, ___, D15, B3
a.       E23                  b. F35                  c. F31                 d. D33                   e. None of these
2.      J99, H63, ___, D15, B3
a.       E23                  b. F35                  c. F31                 d. D33                   e. None of these
3.      b __ abbc __bbca __bcabb __ ab
a.       acaa                  b. acba                  c. cabc                 d. cacc                   e. None of these
4.       _ _ aab _a _a _ ba
a.       bbaab               b. aaabb               c. ababa                 d. babab                  e. None of these
5.      N5V, K7T, __E14P, B19N
a.       H9R                     b. H10Q               c. H10R                 d. I10R                  e. None of these
6.      _ _ J  _F _JM _ SJ _
a.       SFMSFS           b. FSMSFM         c. MFSSFM          d. FMSMSF           e. None of these
7.      3E ,6 F, 11 H, 18 K,  __
a.       21 O                  b. 25 N                  c. 27 N                 d. 27 O                  e. None of these
8.      A25D, B22F, D18H, G13J,  __ 
a.       K7L                   b. L7M                   c. K10P               d. R16Y                e. None of these
9.      D15K, F12L, H9M, J6N,  __
a.       O2L                   b. P3L                     c. L3O                d. R3O                  e. None of these
10.  P3, ___, J9, G12, D15.  
a.       K6                     b. M6                      c. M8                  d. L8                     e. None of these



PREPARED BY:
ARANBIR SINGH



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2 comments:

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