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Number Series Shortcut Tricks & Tips

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Number Series Tricks & Tips


What is Number Series?

Number series is a arrangement of numbers in a certain order, where some numbers are wrongly put into the series of numbers and some number is missing in that series, we need to observe and find the accurate number to the series of numbers.

Tips For Number Series

1 ) Try to observe if there are any familiar numbers in the given series.
2 ) Familiar numbers are the numbers which which are easy to identify like primes numbers, perfect squares, cubes.
3 ) If you are unable to find familiar number, Calculate the differences between the numbers and observe the pattern in the differences.
4)  If the differences are growing slowly it might be an addition or subtraction series or If the differences are growing rapidly it might be a square series, cube series, or multiplicative series.
5) If the differences also are not having any pattern then observe every alternate number (ie every 3rd number form a series) for any pattern.
6) The possible cases may be like sum or the average of two consecutive numbers gives 3rd number.
7 )If still you do not find any pattern, it signifies that the series follows a complex pattern. Check for cases like multiplying the number and adding/subtracting a constant number from it to reach the pattern.

THE BEST WAY TO SOLVE NUMBER SERIES

There is one approach, which helped me a lot to solve these type of questions. Use this extremely useful tool to crack number series questions: RECOGNIZING THE NUMBERS. The trick is to recognize the numbers in the series and proceed accordingly. However, for this to work, you will need to remember some of the very crucial numbers in maths like:-

1.SQUARES OF NUMBERS
2.SQUARE ROOTS OF NUMBERS
3.CUBES OF NUMBERS
4.CUBE ROOTS OF NUMBERS
5.PRIME NUMBERS
6.NUMBERS WITH A LOT OF DIVISORS (E.g. numbers like 24 or 72)
7.ARITHMETIC TABLES

See the numbers of the given series very carefully. If all the numbers are near some perfect squares or cubes, you need to think on lines of squares or cubes of numbers. If you are not able to find any common factors between the numbers, think along the lines of prime numbers. If you see numbers with a lot of common divisors, think about multiplication or division with common factors. Solving this way would surely reduce the permutations you will need to think before getting the right answer. It is also extremely helpful and surely better than randomly guessing the logic.

But remember – start with the logical answer first and then slowly proceed to a difficult level. So, with this trick, there is a very less probability that you actually miss out on something.

Let me discuss one more important thing that you need to know. There is also a chance that the series is not uniform and continuous. Sometimes, two completely different series are mixed in an alternating fashion. The answer might be easy if you solve questions considering only alternate numbers. There is no way of predicting what the person thought about a question. So, keep your mind open to alternate possibilities. You never know which thought might come handy.

Also, don’t hesitate to leave this type of question if you just seem to figure it out. It’s better to focus on the remaining paper as one question might not affect your score a lot.

Just keep practising a lot. The more you practice such questions, the better you get at solving them and recognizing the logic behind the series quickly.

Different types of Number Series

There are some format of series which are given in Exams.

Perfect Square Series:

This Types of Series are based on square of a number which is in same order and one square number is missing in that given series.

Example 1: 441, 484, 529, 576?

Answer: 441 = 212, 484 = 222, 529 = 232, 576 = 24, 625 = 252.

 

Perfect Cube Series: 

This Types of Series are based on cube of a number which is in same order and one cube number is missing in that given series

Example 2: 1331, 1728, 2197, ?

Answer : 113 ,  123 ,  133 ,  143

 

Geometric Series:

This type of series are based on ascending or descending order of numbers and each successive number is obtain by multiplying or dividing the previous number with a fixed number.

Example 3: 5, 45, 405, 3645,?

Answer: 5 x 9 = 45, 45 x 9 = 405, 405 x 9 = 3645, 3645 x 9 = 32805.

 

Mixed Series:

This type of series are more than one different order are given in a series which arranged in alternatively in a single series or created according to any non-conventional rule. This mixed series Examples are describes in separately.

 

Examples 5:  11, 24, 50, 102, 206, ?

Answer: 

11 x 2 = 22 +2 = 24,

24 x 2 = 48 + 2 = 50,

50 x 2 = 100 + 2 = 102,

102 x 2 = 204 + 2 = 206,

206 x 2 = 412 + 2 = 414.

So the missing number is 414.

 

Example:- 2, 3, 5, 7,11, 13, _ , 19

Solution:-Here the terms of the series are the prime numbers in order.
The prime number after 13 is 17. So the answer to this question is 17.

 

Example:-  2, 5, 11, 17, 23, _, 41

Solution:- Here the series is framed by taking the alternative prime numbers. After 23, the prime numbers are 29 and 31. So the answer is 31.

 

Example:-  3, 5, 8, 13, 21
Solution:- Here starting from third number
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
So, the answer is 13 + 21=34

 

Example:- 1, 2, 2, 4, 8, 32. _
Solution:- Here starting from the third number
1 X 2 = 2
2 X 2 = 4
2 X 4 = 8
4 X 8 = 32
So, the answer is 8 X 32 = 256

 

Example:- 4, 7, 10, 13, 16, 19, _, 25
Solution:-Here the difference of any term from its succeding term is 3.
7 – 4 = 3
10 – 7 = 3
So, the answer is 19 +3 =22

 

Example:-  2, 10, 26, 50, 82, _
Solution:-Here, The difference between two consecutive terms are
10 – 2 = 8
26 – 10 = 16
50 – 26 = 24
82 – 50 = 32
Here, the difference is increased by 8 (or you can say the multiples of 8). So the next difference will be 40 (32 + 8). So, the answer is 82 + 40 =122

 

Example:-  6, 17, 38, 79, _
Solution:- 6 x 2 + 5 = 17
17 x 2 + 4 = 38
38 x 2 + 3 = 79
So, the answer is 79 x 2 + 2 = 160

 

Example:- 3, 7, 23, 95, _
Solution:- 
3 x 2 + 1 = 7
7 x 3 + 2 = 23
23 x 4 + 3 = 95
So, the answer will be 95 x 5 + 4 = 479

 
 

Practice Set On Number Series


Directions(1-5): Find the missing number in the following number series.

  1. 20     24     33    49     74     ?
    A) 115
    B) 88
    C) 96
    D) 110
    E) 123
     
    Answer
      Option D
    Solution:
    20 + 2^2 = 24

    24 + 3^2 = 24
    33 + 4^2 = 49
    49 + 5^2 = 74
    74 + 6^2 = 110
     
  2. 1     ?     27    64     125
    A) 8
    B) 11
    C) 12
    D) 16
    E) None of these
     
    Answer
      Option A
    Solution:
    1  = 1^3

    ? = 2^3 = 8
    3 = 3^3
    4 = 4^3
    5 = 5^3
     
  3. 12   14    17    13   ?   14   21    13
    A) 11
    B) 8
    C) 10
    D) 12
    E) None of these
     
     Answer
      Option B
    Solution:

    12…..(+2)……14….(+3)…..17…..
    (-4)……13……(-5)……8……(+6)……14……(+7)…..21…..(-8)…..13
    +2, +3, -4, -5, +6, +7, -8
     
  4. 5    11     ?      55      117
    A) 22
    B) 25
    C) 33
    D) 30
    E) None of these
     
      Option B
    Solution:
    5  * 2 + 1 = 11
    11 * 2 + 3 = 25
    25 * 2 + 5 = 55
    55 * 2 + 7 = 117
     
  5. 85     43    44    67.5     ?     345
    A) 125
    B) 140
    C) 137
    D) 112
    E) None of these
     
      Option C
    Solution:
    85 * 0.5 + 0.5 = 43

    43 * 1 + 1 = 44
    44 * 1.5 + 1.5 = 67.5
    ? = 67.5 * 2  + 2 = 137
    137 * 2.5 + 2.5 = 345

Directions(6-10): In each of the following questions number series, there is a wrong number that does not follow the pattern of the series. Find the wrong number.

  1. 62    87    187    420    812    1437
    A) 87
    B) 187
    C) 420
    D) 812
    E) None of these
     
      Option C
    Solution:
    62 + 5^2 = 62 + 25 = 87

    87 + 10^2 = 87 + 100 = 187
    187 + 15^2 = 187 + 225 = 412
    412 + 20^2 = 412 + 400 = 812
    812 + 25^2 = 812 + 625 = 1437
     
  2. 120    137    170    222    290   375
    A) 137
    B) 170
    C) 222
    D) 290
    E) 375
     
      Option B
    Solution:
    120 + 1 * 17 = 137

    137 + 2 *17 = 171
    171 + 3 * 17 = 222
    222 + 4 * 17 = 290
    290 + 5 * 17 = 375
     
  3. 550   542   537   521    496   460
    A) 496
    B) 521
    C) 537
    D) 542
    E) 460
     
      Option D
    Solution:
    550 – 2^2 = 546

    546 – 3^2 = 537
    537 – 4^2 = 521
    521 – 5^2 = 496
    496 – 6^2 = 460
     
  4. 12      48     168     500    1260   2520
    A) 500
    B) 168
    C) 48
    D) 1260
    E) 2520
     
      Option A
    Solution:
    12 * 4 = 48

    48 * 3.5 = 168
    168 * 3 = 504
    504 * 2.5 = 1260
    1260 * 2 = 2520
     
  5. 24   536   487    703     670    742
    A) 536
    B) 487
    C) 670
    D) 703
    E)742
     
    Option C
    Solution:
    24 + 8^3 = 536

    536  – 7^2 = 487
    487 + 6^3 = 703
    703 – 5^2 = 678
    678 + 4^3 = 742
     

Directions(1-5): In the following number series only one number is wrong. Find out the wrong number.

  1. 484   240      118       57        5      11.25     3.625
    A) 26.5
    B) 57
    C) 5
    D) 3.625
    E) 240
     
      Option  C
    Solution:
    (484 / 2) – 2 = 240

    (240/2) – 2 = 118
    (118/2) – 2 = 57
    (57/2) – 2 = 26.5
  2. 5    7     16     57    244     1245     7506
    A) 7506
    B) 5
    C)244
    D) 7
    E) 16
     
      Option D
    Solution:
    5*1 + 1^2 = 6

    6*2 + 2^2 = 16
    16*3 + 3^2 = 57
    57*4 + 4^2 = 244
    244*5 + 5^2 = 1245
  3. 4     2.5     3.5     6.5     15.5      41.25       126.75
    A) 41.25
    B) 6.5
    C) 126.75
    D) 4
    E) 2.5
     
      Option B
    Solution:
    4*0.5 + 0.5 = 2.5

    2.5*1 + 1 = 3.5
    3.5*1.5 +1.5 = 6.75
    6.75*2 + 2 = 15.5
    15.5*2.5 + 2.5  = 41.25
    41.25*3 + 3 = 126.75
  4. 210    209    211    186    202     77
    A) 209
    B) 77
    C) 211
    D) 186
    E) 202
     
      Option C
    Solution:
    210 – 1^3 = 209

    209 + 2^3 = 213
    213 – 3^3 = 186
    186 + 4^3 = 202
    202 – 5^3 = 77
  5. 33       321       465       537        575      591     600
    A) 465
    B) 33
    C) 600
    D) 575
    E) 591
     
      Option D
    Solution:
    33 + 288 = 321

    321 + 144 = 465
    465 + 72 = 537
    537 + 36 = 573
    573 +18 = 591
    591 + 9 = 600

    Directions(6-10): What should  come in place of question mark in the following series.

  6. 3    7     18    26    ?    53   64   96
    A) 37
    B) 30
    C) 40
    D) 35
    E) 32
     
      Option A
    Solution:
    3 + 4  * 2^0 = 7

    7 + 11  = 18
    18 + 4*(2)^1 = 26
    26+ 11 = 37
    37 + 4*(2)^2 = 53
    53 + 11 = 64
    64+ 4 *(2)^3 = 96
  7. 1.7     3.2      2.7     4.2     3.7     ?     4.7      6.2
    A) 3.8
    B) 5.2
    C) 4.4
    D) 4.8
    E) 5.5
     
      Option B
    Solution:
    1.7    + 1.5 = 3.2

    3.2  – 0.5 = 2.7
    2.7 + 1.5 = 4.2
    4.2 – 0.5 = 3.7
    3.7 + 1.5 = 5.2
    5.2 – 0.5 = 4.7
    4.7 + 1.5 = 6.2
  8. 6        8      10     42       ?       770     4578
    A) 110
    B) 150
    C) 132
    D) 148
    E) 115
     
      Option D
    Solution:
    6 * 1 + 1*2 = 8

    8*2  – 2*3 = 10
    10 * 3 + 3*4 = 42
    42*4 – 4*5 = 148
    148*5 + 5*6 = 770
    770*6 – 6*7 = 4578
  9. 7    13     31     85      247     ?
    A) 733
    B) 680
    C)700
    D) 650
    E) 666
     
      Option A
    Solution:
    7 + 6 = 13

    13 + 3 *6 = 31
    31 + 3 *18 = 85
    85 + 3 * 54 = 247
    247 + 3 * 162 = 733
  10. 949   189.8     ?     22.776    11.388    6.8328
    A) 39.98
    B) 40.15
    C) 48.53
    D) 56.94
    E) 55.55
     
    Option D
    Solution:
    949  * 0.2 = 189.5

    189.5 * 0.3 = 56.94
    56.94 * 0.4 = 22.778
    22.778 * 0.5 = 11.388
    11.388 * 0.6 = 6.8328
     

Directions(1-5): What will come in place of question mark in the given number series.

  1. 17 9      15     40      5       ?
    A) 620
    B) 650.25
    C) 550.5
    D) 688
    E) 540.15
     
      Option  B
    Solution:
    17 * 0.5 + 0.5 = 9

    9 * 1.5 + 1.5 = 15
    15 * 2.5 + 2.5 = 40
    40 * 3.5 + 3.5 = 143.5
    143.5 * 4.5 + 4.5 = 650.25
  2. 2     9     25      82      335      ?
    A) 1456
    B) 1246
    C) 1682
    D) 1560
    E) 1550
     
      Option C
    Solution:
    2 * 1 + 7 = 9

    9 * 2 + 7 = 25
    25 * 3 + 7 = 82
    82 * 4 + 7 = 335
    335 * 5 + 7 = 1682
  3. 1548      516     129     43     ?
    A) 9.82
    B) 11.11
    C)13.25
    D)10.75
    E) 11.25
     
      Option D
    Solution:
    1548/ 3   = 516

    516/4 = 129
    129/3 = 43
    43/4 = 10.75
  4. 41      164       2624       ?        6045696
    A)94464
    B) 84500
    C)94502
    D) 78542
    E) 82456
     
      Option B
    Solution:
    41  *   2^2 = 164

    164  *  4^2 = 2624
    2624  *  6^2 = 94464
    94464  *  7^2 = 6045696
  5. 4       9       29       119       599        ?
    A) 2998
    B) 4578
    C) 3245
    D) 2000
    E) 3599
     
      Option E
    Solution:
    4 * 2 + 1 = 9

    9*3  + 2 = 29
    29 * 4 + 3 = 119
    119* 5 + 4 = 599
    599*6 +5=3599

    Directions(6-10): In the  following number series only one number is wrong. Find the wrong number.

  6. 133     183     241      307     381      463     480
    A) 307
    B) 133
    C) 480
    D) 241
    E) 381
     
      Option  C
    Solution:
    133 + 50 = 183

    183 + 58 = 241
    241 + 66 = 307
    307 + 74 = 381
    381 + 82 = 463
    463 + 90 = 553
  7. 31     15      21    50    155.3      767.25
    A) 767.25
    B) 155.3
    C) 15
    D) 31
    E) 50
     
      Option B
    Solution:
    31 * 0.5 – 0.5 = 15

    15 * 1.5 – 1.5 = 21
    21 * 2.5 – 2.5 = 50
    50 * 3.5 – 3.5 = 171.5
    171.5  *  4.5 – 4.5 = 767.25
  8. 18       119      708       3530       14136      42405
    A) 14136
    B) 708
    C) 119
    D) 3530
    E) 42405
     
      Option D
    Solution:
    18 * 7 – 7 = 119

    119* 6 – 6 = 708
    708 * 5 – 5 = 3540
    3540 * 4 – 4 = 14136
    14136 * 3 – 3 = 42405
  9. 500     484     451      384      260      80
    A) 80
    B) 260
    C) 451
    D) 484
    E) 500
     
      Option B
    Solution:
    500 – 16 = 484

    484 – 33(= 16 + 17) = 451
    451 – 67(= 33 + 2 * 17) = 384
    384 – 118(= 67 + 3 * 17)= 266
    266 – 186(= 118 + 4 * 17)= 80
  10. 9    10.8    18     21.6     36      64.8
    A) 21.6
    B) 10.8
    C) 36
    D) 18
    E) 9
     
    Option D
    Solution:
    9 + 1.8 = 10.8

    10.8 + 2* 1.8 = 14.4
    14.4 + 2 *3.6 = 21.6
    21.6 + 2*7.2 = 36
    36+ 2 * 14.4 = 64.8
     
Directions (1-5): In the following number series, a wrong number is given. Find out that wrong number.
Q1. 2  11  38  197  1172  8227  65806
(a) 11
(b) 38
(c) 197
(d) 1172
(e) 8227
 
Q2. 16  19  21  30  46  71  107
(a) 19
(b) 21
(c) 30
(d) 46
(e) 71
 
Q3. 7  9  16  25  41  68  107  173
(a) 107
(b) 16
(c) 41
(d) 68
(e) 25
 
Q4. 4  2  3.5  7.5  26.25  118.125
(a) 118.125
(b) 26.25
(c) 3.5
(d) 2
(e) 7.5
 
Q5. 16  4  2  1.5  1.75  1.875
(a) 1.875
(b) 1.75
(c) 1.5
(d) 2
(e) 4
 
Directions (6-10) : In each of the following questions a number series is given. After the series a number is given followed by (a), (b), (c), (d) and (e). You have to complete the series starting with the given number, following the sequence of original series and answer the questions that follow the series.
Q6. 3  19  103  439  1381  2887
     5  (a)  (b)  (c)  (d)  (e)
What will come in place of (b) ?
(a) 139
(b) 163
(c) 161
(d) 157
(e) None of these
 
Q7. 4  13  40  135  552  2765
    2  (a)  (b)  (c)  (d)  (e)
What will come in place of (c) ?
(a) 123
(b) 133
(c) 127
(d) 131
(e) None of these
 
Q8. 5  12  4  10  3  8
    6  (a)  (b)  (c)  (d)  (e)
What will come in place of (d) ?
(a) 3
(b) 5
(c) 4
(d) 7
(e) None of these
 
Q9. 3  13  37  87  191  401
     1  (a)  (b)  (c)  (d)  (e)
What will come in place of (d) ?
(a) 169
(b) 161
(c) 171
(d) 159
(e) None of these
 
Q10. 8  4  6  15  52.5  236.25
    12  (a)  (b)  (c)  (d)  (e)
What will come in place of (c) ?
(a) 23.5
(b) 16.5
(c) 22.5
(d) 22.25
(e) None of these
 
Directions (11-15) : What should come in place of question mark (?) in the following number series ?
Q11. 13  14  30  93  376  1885  ?
(a) 10818
(b) 10316
(c) 11316
(d) 11318
(e) None of these
 
Q12. 4  6  9  13.5  20.25  30.375   ?
(a) 40.25
(b) 45.5625
(c) 42.7525
(d) 48.5625
(e) None of these
 
Q13. 400  240  144  86.4  51.84  31.104   ?
(a) 19.2466
(b) 17.2244
(c) 16.8824
(d) 18.6624
(e) None of these
 
Q14. 9  4.5  4.5  6.75  13.5  33.75   ?
(a) 101.25
(b) 103.75
(c) 99.75
(d) 105.50
(e) None of these
 
Q15. 705  728  774  843  935  1050  ?
(a) 1190
(b) 1180
(c) 1185
(d) 1187
(e) None of these
 
SOLUTION:
 
S1. Ans.(d)
Sol. The series is based on the following pattern:
11 = 2 × 3 + 5
38 = 11 × 4 – 6
197 = 38 × 5 + 7
1172 ≠ 197 × 6 – 8
1172 is wrong and it should be replaced by 197 × 6 – 8 = 1174
 
S2. Ans.(a)
Sol. The series is based on the following pattern:
107 – 71 = 36
71 – 46 = 25
46 – 30 = 16
30 – 21 = 9
21 – 19 = 2≠4
19  should be replaced by 17 for which 21 – 17 = 4
 
S3. Ans.(d)
Sol. The series is based on the following pattern:
16 = 9 + 7
25 = 16 + 9
41 = 25 + 16
68 ≠ 41 + 25
68 should be replaced by 66.
 
S4. Ans.(c)
Sol. The series is based on the following pattern: ×0.5,×1.5,×2.5,×3.5,×4.5
Obviously, 3.5 Is the wrong number which should be replaced by 3.
 
S5. Ans.(b)
Sol. The series is based on the following pattern: ×0.25,×0.5,×0.75,×1,×1.25
Obviously, 1.75 is the wrong number which should be replaced by 1.5.
 
S6. Ans.(b)
Sol. The given series is based on the following pattern : ×6+1,×5+8,×4+27,×3+64,×2+125
Similarly, 5×6+1=31
 31×5+8=163
Hence, 163 will come in place of (b).
 
S7. Ans.(a)
Sol. The given series is based on the following pattern
13 = 4 × 1 + 1 × 9
40 = 13 × 2 + 2 × 7
135 = 40 × 3 + 3 × 5
552 = 135 × 4 + 4 × 3
2765 = 552 × 5 + 5 × 1
Similarly,
(a) = 2 × l + 1 × 9 = 11
(b) = 11 × 2 + 2 × 7 = 36
(c) = 36 × 3 + 3 × 5 = 123
Hence, 123 will come in place of (c).
 
S8. Ans.(c)
Sol. The given series is based on the following pattern: ×2+2,÷2-2,×2+2,÷2-2………..
Hence, 4 will come in place of (d).
 
S9. Ans.(d)
Sol. The given series is based on the following pattern : ×2+7,×2+11,×2+13,×2+17,×2+19
(7, 11, 13, 17, 19, ….. are consecutive prime numbers)
Hence, 159 will come in place of (d).
 
S10. Ans.(c)
Sol. The given series is based on the following pattern : ×0.5,×1.5,×2.5…….
Hence, 22.5 will come in place of (c).
 
S11. Ans.(c)
Sol. The given number series is based on the following pattern :
13 × 1 + 1 = 14
14 × 2 + 2 = 30
30 × 3 + 3 = 93
93 × 4 + 4 = 376
376 × 5 + 5 = 1885
? = 1885 × 6 + 6 = 11316
Hence, number 11316 will replace the question mark.
 
S12. Ans.(b))
Sol. The given series is based on the following pattern :×1.5,×1.5,……..
 
S13. Ans.(d)
Sol. The given series is based on the following pattern : ×0.6,×0.6……..
 
S14. Ans.(a)
Sol. The given series is based on the following pattern : ×0.5,×1,×1.5,×2,×2.5…….
 
S15. Ans.(e)
Sol.
705 + 1 × 23 = 728
728 + 2 × 23 = 774
774 + 3 × 23 = 843
843 + 4 × 23 = 935
935 + 5 × 23 = 1050
? = 1050 + 6 × 23 = 1050 + 138 = 1188

 

Directions (Q.1-5): What will come in place of the question mark (?) in the following number series? 
Q1. 1401, 1402, 705, ?, 77
(a) 243
(b) 242
(c) 244
(d) 246
(e) None of these
 
Q2. 10, 6, 12, 35, ?, 591.75 
(a) 130
(b) 129.5
(c) 127.25
(d) 133
(e) None of these
 
Q3. 390, 198, ?, 54, 30, 18
(a) 102
(b) 100
(c) 98
(d) 96
(e) None of these
 
Q4. 10, 77, 474, ?, 9556, 28683
(a) 2275
(b) 2465
(c) 2195
(d) 2385
(e) None of these
 
Q5. 150, 50, 131, 67, 116, ?, 105
(a) 92
(b) 87
(c) 120
(d) 90
(e) None of these
 
Directions (Q.6-10): In each of these number series one number is wrong. Find out the wrong number. 
Q6. 5, 6, 7.5, 9.75, 13.25, 18.4275
(a) 13.25
(b) 9.75
(c) 18.4275
(d) 7.5
(e) None of these
 
Q7. 13, 25, 41, 62, 85, 113
(a) 62
(b) 25
(c) 113
(d) 85
(e) None of these
 
Q8. 250, 55, 16, 8.2, 6.1, 6.328
(a) 6.328
(b) 55
(c) 8.2
(d) 6.1
(e) 16
 
Q9.  18, 54, 162, 491, 1466
(a) 18
(b) 491
(c) 1466
(d) 54
(e) 162
 
Q10. 7, 8, 24, 106, 361, 986
(a) 81
(b) 106
(c) 304
(d) 24
(e) None of these
 
Directions (Q.11-15): In each of these questions, a number series is given. Below the series one number is given followed by (a), (b), (c), (d) and (e) You have to complete this series following the same logic as in the original series and answer the question that follows.
 
Q11. 5, 9, 25, 91, 414, 2282.5
3 (a) (b) (c) (d) (e)
What will come in place of (c) ?
(a) 63.25
(b) 63.75
(c) 64.25
(d) 64.75
(e) None of these
 
Q12. 15, 9, 8, 12, 36, 170
19 (a) (b) (c) (d) (e)
What will come in place of (b) ?
(a) 18
(b) 16
(c) 22
(d) 24
(e) None of these
 
Q13. 7, 6, 10, 27, 104, 515
9 (a) (b) (c) (d) (e)
What will come in place of (d) ?
(a) 152
(b) 156
(c) 108
(d) 112
(e)  None of these
 
Q14. 6, 16, 57, 244, 1245, 7506
4 (a) (b) (c) (d) (e)
What will come in place of (d) ?
(a) 985
(b) 980
(c) 1004
(d) 1015
(e) None of these
 
Q15. 8, 9, 20, 63, 256, 1285
5 (a) (b) (c) (d) (e)
What will come in place of (e)
(a) 945
(b) 895
(c) 925
(d) 845
(e) None of these
 
Solutions 
 
 
 

 

 

 

 

S6. Ans.(a)
Sol.
The pattern of the series is:
×1.2,×1.25,×1.3,×1.35,×1.4,×1.45……….

S7. Ans.(a)
Sol.
The pattern of series is:
+12,+16,+20,+24,+28

S8. Ans.(d)
Sol.
The series is:
÷5+5,÷5+5,÷5+5,÷5+5…….

S9. Ans.(d)
Sol.
The pattern of series is:
×3+1,×3-3,×3+5,×3-7,×3+9……

 
 

 

 
S11. Ans.(d)
Sol.
The pattern of the given series is :
5 × 1.5 + 1.5 = 7.5 + 1.5 = 9
9 × 2.5 + 2.5 = 22.5 + 2.5 = 25
25 × 3.5 + 3.5 = 87.5 + 3.5 = 91
91 × 4.5 + 4.5 = 409.5 + 4.5 = 414
Similarly,
(a)  3 × 1.5 + 1.5 = 4.5 + 1.5 = 6
(b)  6 × 2.5 + 2.5 = 15 + 2.5 = 17.5
(c)  17.5 × 3.5 + 3.5 = 61.25 + 3.5 = 64.75
 
S12. Ans.(b)
Sol.
The pattern of the given series is :
15 × 1 – 1 × 6 = 15 – 6 = 9
9 × 2 – 2 × 5 = 18 – 10 = 8
8 × 3 – 3 × 4 = 24 – 12 = 12
12 × 4 – 4 × 3 = 48 – 12 = 36
36 × 5 – 5 × 2 = 180 – 10 = 170
Similarly,
(a)  19 × 1 – 1 × 6 = 19 – 6 = 13
(b)  13 × 2 – 2 × 5 = 26 – 10 = 16
 
S13. Ans.(a)
Sol.
The pattern of the given series is :
7 × 1 – 1 = 6
6 × 2 – 2 = 10
10 × 3 – 3 = 27
27 × 4 – 4 = 104
104 × 5 – 5 = 515
Similarly,
(a)  9 × 1 – 1 = 8
(b)  8 × 2 – 2 =14
(c)  14 × 3 – 3 = 39
(d)  39 × 4 – 4 = 152
 
 
S15. Ans.(c)
Sol.
The pattern of the given series is :
8 × 1 + 1 = 9
9 × 2 + 2 = 20
20 × 3 + 3 = 63
63 × 4 + 4 = 256
Similarly,
(a)  5 × 1 + l = 6
(b)  6 × 2 + 2 = 14
(c)  14 × 3 + 3 = 45
(d)  45 × 4 + 4 = 184
(e)  184 × 5 + 5 = 925

 

  • 4, 5, 6, 14, ?, 100.5
    1. 32.5
    2. 47.5
    3. 67.5
    4. 37.5
    5. 27.5
     
    Answer – 1. 32.5
    Explanation :
    4 * 1 + 1 = 5
    5 * 1.5 – 1.5= 6
    6 * 2 + 2 = 14
    14 * 2.5 – 2.5 = 32.5
    32.5 * 3 + 3 = 100.5
  • 8 4 4 8 32 ?
    1.354
    2.384
    3.294
    4.234
    5.256
     
    Answer – 5.256
    Explanation :
    8 * 0.5 = 4
    4 * 1 = 4
    4 * 2 = 8
    8 * 4 = 32
    32 * 8 = 256
  • 2, 2, 7, ?, 87, 342
    1.21
    2.26
    3.23
    4.24
    5.22
     
    Answer – 5.22
    Explanation :
    2 + 1² – 1 = 2
    2 + 2² + 1= 7
    7 + 4² – 1= 22
  • 6, 8, 8, 22, ?, 151
    1.43
    2.42
    3.44
    4.47
    5.48
     
    Answer – 4.47
    Explanation :
    6 * 1 + 2 = 8
    8 * 1.5 – 4 = 8
    8 * 2 + 6 = 22
    22 * 2.5 – 8 = 47
    47 * 3 + 10 = 151
  • 4, ?, 14, 40, 88, 170
    1.9
    2.5
    3.6
    4.7
    5.2
     
    Answer – 3.6
    Explanation :
    4 + 1² + 1= 6
    6 + 3² – 1= 14
    14 + 5² + 1= 40……..
  • 6, 6, 7, ?, 91, 463
    1.33
    2.43
    3.38
    4.25
    5.44
     
    Answer – 4.25
    Explanation :
    6*1 – 1 + 1 = 6
    6*2 – 2 – 3 = 7
    7*3 – 1 + 5 = 25
  • 2, 5, 17, 50, 122, ?
    1.252
    2.258
    3.257
    4.225
    5.242
     
    Answer – 3.257
    Explanation :
    2 + 1³ + 2 = 5
    5 + 2³ + 4 = 17
    17 + 3³ + 6 = 50
    50 + 4³ + 8 = 122
  • 2, 9, 39, 161, ?, 2613
    1.675
    2.670
    3.665
    4.651
    5.655
     
    Answer – 4.651
    Explanation :
    2 * 4 + 1 = 9
    9 * 4 + 3 = 39
    39 * 4 + 5 = 161
    161 * 4 + 7 = 651
    651 * 4 + 9 = 2613
  • 5, ?, 20, 34, 76, 142
    1.4
    2.5
    3.7
    4.8
    5.9
     
    Answer – 4.8
    Explanation :
    5*2 – 2 = 8
    8*2 + 4 = 20
    20*2 – 6 = 34
  • 5, 6, 8, 30, 136, ?
    1.645
    2.680
    3.650
    4.690
    5.620
     
    Answer – 1.645
    Explanation :
    5 * 1 + 1 = 6
    6 * 2 – 2 = 10
    10 * 3 + 3 = 33
    33 * 4 – 4 = 128
    128 * 5 + 5 = 645

 

 

 

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