Number series - 08

Directions (Q. 1-5): In each of the following number series, a wrong number is given. Find
out that number.
1. 1, 12, 31, 63, 101, 156, 227
(1) 31 (2) 63 (3) 101 (4) 156 (5) 227

2. 4, 9, 28, 99, 415, 2105, 12660
(1) 9 (2) 28 (3) 99 (4) 415 (5) 2105

3. 7, 26, 64, 124, 215, 342, 511
(1) 26 (2) 64 (3) 124 (4) 215 (5) 342

4. 9, 28, 63, 120, 205, 323, 483
(1) 28 (2) 63 (3) 120 (4) 205 (5) 323

5. 26, 57, 102, 164, 250, 366, 518
(1) 57 (2) 102 (3) 164 (4) 250 (5) 366
Directions (Q. 6-10): In each of the following number series, a wrong number is given. Find
out the wrong number.
6. 30, 210, 742, 1716, 3390, 5814
(1) 210 (2) 742 (3) 1716 (4) 3390 (5) 5814

7. 1440, 1152, 930, 766, 651, 580, 542
(1) 930 (2) 766 (3) 651 (4) 580 (5) 542

8. 18, 59, 187, 576, 1749, 5269
(1) 59 (2) 187 (3) 576 (3) 1749 (5) 5269

9. 7, 22, 64, 216, 898, 4525, 27190
(1) 64 (2) 216 (3) 898 (4) 4525 (5) 27190

10. 16, 9278, 15109, 18484, 20212, 20941, 21157
(1) 9278 (2) 15109 (3) 18484 (4) 20212 (5) 20941
Directions (Q. Nos. 11-15) What will come in place of question mark (?) in the following
number series?
11. 1 7 49 343 (?)
(1) 16807 (2) 1227 (3) 2058 (4) 2401 (5) None of these

12. 13 20 39 78 145 (?)
(1) 234 (2) 244 (3) 236 (4) 248 (5) None of these

13. 12 35 81 173 357 (?)
(1) 725 (2) 715 (3) 726 (4) 736 (5) None of these

14. 3 100 297 594 991 (?)
(1) 1489 (2) 1479 (3) 1478 (4) 1498 (5) None of these

15. 112 119 140 175 224 (?)
(1) 277 (2) 276 (3) 287 (4) 266 (5) None of these
Directions (Q. 16 - 20): In each of the following number series, a wrong number is given. Find
out that number.
16. 4, 5, 18, 80, 388, 2065, 12606
(1) 5 (2) 18 (3) 80 (4) 388 (5) 2065

17. 22, 51, 88, 133, 186, 248, 316
(1) 51 (2) 88 (3) 133 (4) 186 (5) 248

18. 7, 9, 21, 57, 137, 284, 539
(1) 9 (2) 21 (3) 57 (4) 137 (5) 284

19. 3, 17, 83, 371, 1907, 11507, 80627
(1) 17 (2) 83 (3) 371 (4) 1907 (5) 11507

20. 8, 9, 25, 105, 362, 987, 2283
(1) 9 (2) 25 (3) 105 (4) 362 (5) 987

Answers .
1. 2; The number should be 60.
+ 32 + 2, +42 + 3, + 52 + 4 ...

2. 4; The number should be 416.
× 1 + 5, × 2 + 10, × 3 + 15, × 4 + 20 ...

3. 2; The number should be 63.
(1 × 2 × 3) + 1, (2 × 3 × 4) + 2, (3 × 4 × 5) + 3...

4. 5; The number should be 324.
1 × 22 + 5, 2 × 32 + 10, 3 × 42 + 15, 4 × 52 + 20

5. 1; The number should be 58.
13 + 25, 23 + 50, 33 + 75, 43 + 100 ...

6. 2; The number should be 738.
33 + 3, 63 - 6, 93 + 9, 123 - 12...

7. 3; The number should be 652.
1440, 1440 - (17)2 + 1, 1440 -,(15)2 + 3, 1440- (13)2 + 5, 1440 - (11)2 + 7

8. 4; The number should be 174.
× 3 + 5, × 3 + 10, × 3 + 15

9. 2; The number should be 217.
× 1 + 15, × 2 + 20, × 3 + 25, ×4 + 30

10. 1; The number should be 9277.
+(21)3, +(18)3, +(15)3

11. 4; 1x 7 = 7
7 x 7 = 49
49 x 7 = 343
343 x 7 = 2401

12. 4; 13 + 22 + 3 = 20
20 + 42 + 3 = 39
39 + 62 + 3 = 78
78 + 82 + 3 = 145
145 + 102 + 3 = 248

13. 1; 12 x 2 + 11 = 35
35 x 2 + 11 = 81
81 x 2 + 11 = 173
173 x 2 + 11 = 357
357 x 2 + 11 = 725

14. 5; 3 + 97 = 100
100 + 197 = 297
297 + 297 = 594
597 + 397 = 991
991 + 497 = 1488

15. 3; 112 + 7 x 1 = 119
119 + 7 x 3 = 140
140 + 7 x 5 = 175
175 + 7 x 7 = 224
224 + 7 × 9 = 287

16. 3; The number should be 81.
The series is + 12 × 1, + 22 × 2, + 32 × 3...

17. 5; The number should be 247.
The series is 21 + 12, 42 + 32, 63 + 52, 84 +72...

18. 5; The number should be 287.
The series is + 12 + 13, + 22 + 23, + 32 + 33...

19. 1; The number should be 19.
The series is ×2 + 13, ×3 + 26, ×4 + 39...

20. 3; The number should be 106.

The series is + 14 + 24, + 34, + 44...

Number series - 07 RBI / IBPS / SBI / LIC AAO

Directions : Find the odd man out.(Find the Wrong Numbers)

·         3, 5, 7, 12, 17, 19

a.       19        b. 17    c. 13    d. 12

·         10, 14, 16, 18, 21, 24, 26

a.       24        b. 26    c. 21    d. 18   

·         3, 5, 9, 11, 14, 17, 21

a.       21        b. 17    c. 14    d. 9

·         1, 4, 9, 16, 23, 25, 36

a.       9          b. 23    c. 25    d.36

·         6, 9, 15, 21, 24, 28, 30

a.       28        b. 21    c. 24    d.30

·         41, 43, 47, 53, 61, 71, 73, 81

a.       61        b. 71    c. 73    d. 81

·         16, 25, 36, 72, 144, 196, 225

a.       36        b. 72    c. 196  d. 225

·         10, 25, 45, 54, 60, 75, 80

a.       10        b. 45    c. 54    d. 75

·         1, 4, 9, 16, 20, 36, 49

a.       1          b. 9      c. 20    d. 49

·         8, 14, 26, 48, 98, 194, 386

a.       98        b. 48    c. 26    d. 194

·         380, 188, 92, 48, 20, 8, 2

a.       188      b. 48    c. 20    d. 380

·         6, 12, 48, 100, 384, 768, 3072

a.       100      b.48     c.384   d.768

·         3, 7, 15, 39, 63, 127, 255, 511

a.       255      b.127   c.39     d.63

·         6, 13, 18, 25, 30, 37, 40

a.       13        b.40     c.25     d.37

·         18, 13, 21, 32, 46, 63, 83

a.      21        b.63     c.8       d.18

·         25, 36, 49, 81, 121, 169, 225

a.       81        b.49     c.121   d.36

·         1, 2, 6, 15, 31, 56, 91

a.       91        b.6       c.56     d.31

·         2, 5, 10, 17, 26, 37, 50, 64

a.       17        b.50     c.64     d.37

·         2, 5, 10, 50, 500, 5000.

a.       500      b.5000   c.50   d.10

·         46080, 3840, 384, 48, 24, 2, 1

a.      3840    b.48     c.384   d.24

·         3, 3, 4.5, 9, 27, 67.5, 236.25

a.       9          b.4.5    c.67.5  d.27

Number series - 06 RBI / SBI / IBPS / LIC AAO

Quiz On Numerical Series

1.       16, 33, 65, 131, 261, (....)

        A. 523           

        B. 521

        C. 613           

        D. 721

2.       10, 5, 13, 10, 16, 20, 19, (....)

        A. 22             

        B. 40

        C. 38             

        D. 23

3.       1, 4, 9, 16, 25, 36, 49, (....)

        A.    54          

        B.    56

        C.    64          

        D.    81

4.       2, 4, 12, 48, 240, (....)

        A.    960        

        B.    1440

        C.    1080      

        D.    1920

5.       8, 7, 11, 12, 14, 17, 17, 22, (....)

        A.    27          

        B.    20

        C.    22          

        D.    24

6.       11, 13, 17, 19, 23, 29, 31, 37, 41, (....)

        A.    43          

        B.    47

        C.    53          

        D.    51

.

7.       8, 24, 12, 36, 18, 54, (....)

        A.    27          

        B.    108

        C.    68          

        D.    72

8.       2, 6, 12, 20, 30, 42, 56, (....)

        A.    61          

        B.    64

        C.    72          

        D.    70

9.       4, -8, 16, -32, 64, (....)

        A.    128        

        B.    -128

        C.    192        

        D.    -192

10.   7, 26, 63, 124, 215, 342, (....)

        A.    481        

        B.    511

        C.    391        

        D.    421

Answers with Explanation:-

1.       A

        Explanation:

        Each number is twice the preceding one with 1 added or subtracted alternatively.

        So, the next number is (2 x 261 + 1) = 523.

2.       B

        Explanation:

        There are two series (10, 13, 16, 19) and (5, 10, 20, 40), one increasing by 3 and the other multiplied by 2.

3.       C

        Explanation:

        Numbers are 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2.

        So, the next number is 8^2 = 64.

4.       B

        Explanation:

        Go on multiplying the given numbers by 2, 3, 4, 5, 6.

        So, the correct next number is 1440.

5.       B

        Explanation:

        There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively.

6.       A

        Explanation:

        Numbers are all primes. The next prime is 43

7.       A

        Explanation:

        Numbers are alternatively multiplied by 3 and divided by 2.

        So, the next number = 54 ÷ 2 = 27.

8.       C

        Explanation:

        The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.

        So, the next number is 8 x 9 = 72.

9.       B

        Explanation:

        Each number is the proceeding number multiplied by -2.

        So, the required number is -128.

10.   B

        Explanation:

        Numbers are (2^3 - 1), (3^3  - 1), (4^3  - 1), (5^3  - 1), (6^3  - 1), (7^3  - 1) etc.

         So, the next number is (8^3  - 1) = (512 - 1) = 511.

Number Series Set- 05 RBI / IBPS / SBI / LIC AAO

Directions (1-10): What will come in place of the question marks (?) in the following Number series?

       1.    0, 6, 24, 60, 120, 210, ?

A.  336       

B.  349

C.  312

D.  337

E.  None of these

        2.    11, 14, 19, 22, 27, 30, ?

A.  39

B.  34

C.  36

D.  35

E.  None of these

        3.    6, 12, 21, ? , 48

A.  33

B.  39

C.  36

D.  31

E.  None of these

       4.    18, 22, 30, ? ,78, 142

A.  44

B.  35

C.  46

D.  48

E.  None of these

      5.    73205, 6655, 605, 55, ?

A.  9

B.  5

C.  13

D.  11

E.  None of these

      6.    25, 100, ?, 1600, 6400

A.  400

B.  300

C.  360

D.  420

E.  None of these

      7.    125, ?, 343, 512, 729, 1000

A.  216

B.  215

C.  256

D.  225

E.  None of these

      8.    1 , 27 , 125 , 343 , ? , 1331

A.  730

B.  729

C.  512

D.  772

E.  None of these

       9.    121, 144, 169, ?, 225

A.  180

B.  172

C.  186

D.  196

E.  None of these

     10.  ?, 2116, 2209, 2304, 2401, 2500

A.  2124

B.  1972

C.  1521

D.  2025

E.  None of these

Answers with Explanation:-

    1.     (A)

     The given series is : 1³ – 1, 2³ – 2, 3³ – 3, 4³ – 4, 5³ – 5, 6³ – 6,

     So the missing term = 7³ – 7 = 343 – 7 = 336 .

     2.    (D)

     The pattern is + 3, + 5, + 3, + 5, …………

     So the missing term is = 30 + 5 = 35 .

     3.    (A)

     The pattern is + 6, + 9, + 12, +15 ………..

     So the missing term is = 21 + 12 = 33 .

     4.    (C)

      The pattern is +4, +8, +16, +32, +64

     So the missing term is = 30 + 16 = 46 .

        5.    (B)

  5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205

      6.    (A)

25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.

      7.    (A)

 125 = 5³ , 216 = 6³, 343 = 7³, 512 = 8³, 729 = 9³, 1000 = 10³.

      8.    (B)

 1³ , 3³ , 5³ , 7³ , 9³ , 11³

      9.    (D)

121 = 11², 144 = 12², 169 = 13², 196 = 14², 225 = 15².

       10.  (D)

 2025 = 45², 2116 = 46², 2304 = 48², 2401 = 49², 2500 = 50²