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1.

33, 39, 57, 87, 129, ?1). 1832). 1773). 1894). 199

Answer»

The pattern of given series is:

→ 33,

→ 39 = 33 + 6,(6 × 1 = 6)

→ 57 = 39 + 18,(6 × 3 = 18)

→ 87 = 57 + 30,(6 × 5 = 30)

→ 129 = 87 + 42,(6 × 7 = 42)

→ ? = 129 + 54,(6 × 9 = 54)

→ ? = 183
2.

2, 38, 63, 79, 88, 94, 931). 382). 943). 794). 88

Answer»

The GIVEN is in following pattern:

2

2 + 62 = 38

38 + 52 = 63

63 + 42 = 79

79 + 32 = 88

88 + 22 = 92 ≠ 94

92 + 12 = 93

So, the wrong TERM is 94.
3.

1). 41232). 32173). 31934). 454

Answer»

The given SERIES can be obtained as,

2 × 2 + 3 = 7

⇒ 7 × 3 + 4 = 25

⇒ 25 × 4 + 5 = 105

⇒ 105 × 5 + 6 = 531

⇒ 531 × 6 + 7 = 3193

∴ The NEXT term in the series is 3193

4.

4, 5, 9, 36, ?, 1771). 562). 763). 454). 35

Answer»

⇒ 4 + 13 = 5

⇒ 5 + 22 = 9

⇒ 9 + 33 = 36

⇒ 36 + 42 = 52 = ?

⇒ 52 + 53 = 177

5.

36, 125, 256, 243, ?1). 162). 63). 324). 64

Answer»

The PATTERN of the GIVEN SERIES is:

⇒ 62 = 36

⇒ 53 = 125

⇒ 44 = 256

⇒ 35 = 243

⇒ 26 = 64 = ?
6.

1). 2022). 2003). 1944). 192

Answer»

The pattern of GIVEN SERIES is:

200,

⇒ 204 = 200 + 4

196 = 204 - 8

⇒ 200 = 196 + 4

⇒ 192 = 200 - 8 = ?

⇒ 196 = 192 + 4?

7.

1). 1192). 1143). 1184). 115

Answer»

The pattern of given SERIES is:

⇒ 5 + 1 = 6,

⇒ 6 + 23 = 14,

⇒ 14 + 32 = 23,

⇒ 23 + 43 = 87,

⇒ 87 + 52 = 112

⇒? ?= 112

8.

164, 201, 220, 261, 284, ?1).2).3). 3004). 372

Answer»

The pattern is as follows;

⇒ 164 = 132 - 5

⇒ 201 = 142 + 5

⇒ 220 = 152 - 5

261 = 162 + 5

284 = 172 - 5

? = 182 + 5 = 329

∴ ? = 329
9.

1721, 2183, 2733, 3347, 4061, 48711). 17212). 27333). 48714). 4061

Answer»

The series FOLLOWS the FOLLOWING pattern:

1237 = 1721

13314 = 2183

14321 = 2723

153 – 28 = 3347

163 – 35 = 4061

173 – 42 = 4871

∴ Wrong number in the series is 2733, while the right number for the series is 2723.
10.

1). -32). 53). 74). 12

Answer»

⇒ 8 - 12 = 7

16 - 2= 12

⇒ 24 - 32 = 15

32 - 42 = 16

⇒ 40 - 52 = 15

⇒ 48 - 62 = 12

⇒ 56 - 72 = 7

⇒ 64 - 82 = 0 = ?

⇒72 - 92 = -9

11.

2, 4, 9, 28, ?1). 1252). 1003). 1314). 96

Answer»

The pattern for the given series:

New NUMBER = n + n!

n! = n × (n – 1) × .... × 1, but 0! = 1

⇒ 1 + 1! = 1 + 1 = 2

⇒ 2 + 2! = 2 + 2 = 4

3 + 3! = 3 + 6 = 9

⇒ 4 + 4! = 4 + 24 = 28

⇒ 5 + 5! = 5 + 120 = 125 = ?
12.

1). 362). 533). 454). 37

Answer»

The PATTERN of the given series is:

99 - 95 = 22

⇒ 95 - 86 = 32

⇒ 86 - 70 = 42

⇒ 70 - ? = 52

⇒ ? = 45

13.

0, 2, 7, 25,?1). 702). 1053). 1154). 95

Answer»

The PATTERN for the GIVEN series:

⇒ 0 × 1 + 2 = 0 + 2 = 2

⇒ 2 × 2 + 3 = 4 + 3 = 7

⇒ 7 × 3 + 4 = 21 + 4 = 25

⇒ 25 × 4 + 5 = 100 + 5 = 105 = ?
14.

1). 2322). 1843). 1624). 66

Answer»

The PATTERN of the given series is:

⇒ 13860 ÷ 2 = 6930

⇒ 6930 ÷ 3 = 2310

⇒ 2310 ÷ 5 = 462

⇒ 462 ÷ 7 = 66 = ? 

15.

1). 2012). 2313). 2994). 331

Answer»

THE ANSWER IS 299. AS THIS TYPE- (SQUARE OF PRIME NUMBER + 10)14=2*2+1019=3*3+1035=5*5+1059=7*7+10131=11*11+10179=13*13+10299=17*17+10

16.

2, 4, 11, 37, ?1). 1352). 1533). 1424). 152

Answer»

⇒ 2 × 1 + 2 = 4

⇒ 4 × 2 + 3 = 11

⇒ 11 × 3 + 4 = 37

⇒ 37 × 4 + 5 = 153 = ?
17.

8, 8, 12, 30, 120, ?1). 4802). 6003). 7204). 750

Answer»

The PATTERN of the GIVEN series is:

⇒ 8 × 1 = 8

⇒ 8 × (1 + 0.5) = 8 × 1.5 = 12

⇒ 12 × (1.5 + 1) = 12 × 2.5 = 30

⇒ 30 × (2.5 + 1.5) = 30 × 4 = 120

⇒ 120 × (4 + 2) = 120 × 6 = 720 = ?
18.

12, 32, 72, 152, 314, 6321). 322). 723). 1524). 314

Answer»

→ 12,

32 = 12 × 2 + 8,

72 = 32 × 2 + 8,

→ 152 = 72 × 2 + 8,

→ 312 = 152 × 2 + 8,

Here the wrong term is 314, it should be 312.

632 = 312 × 2 + 8
19.

43, 69, 58, 84, 73, ?1). 622). 983). 1094). 63

Answer»

The PATTERN of GIVEN series is:

→ 43,

69 = 43 + 26,

→ 58 = 69 – 11,

→ 84 = 58 + 26,

→ 73 = 84 – 11,

→ ? = 73 + 26,

→ ? = 99
20.

1). 212). 123). 304). 42

Answer»

As per the series given in the question, it is CLEAR that it follows a PATTERN:

3 × 4 = 12

4 × 5 = 20 ≠ 21

5 × 6 = 30

6 × 7 = 42

7 × 8 = 56

12, 30, 42, 56 all these FOLLOW the pattern, except 21. Hence, 21 is incorrect answer.
21.

1). 392). 433). 464). 49

Answer»

The pattern of the GIVEN SERIES is:

7 - 3 = 4

13 - 7 = 6

⇒ 21 - 13 = 8

⇒ 31 - 21 = 10

⇒ ? - 31 = 12

⇒ ? = 43

22.

336, 210, 120, 62, 24, 6, 01). 1202). 623). 244). 6

Answer»

The PATTERN of the given series is:

336 = 8 × 7 × 6,

→ 210 = 7 × 6 × 5,

→ 120 = 6 × 5 × 4,

→ 60 = 5 × 4 × 3,

Here the wrong TERM is 62, it should be 60.

24 = 4 × 3 × 2,

→ 6 = 3 × 2 × 1,

→ 0 = 2 × 1 × 0
23.

1324, 1721, 2190, 2737, 3368, ?1). 39862). 40893). 41364). 4290

Answer»

The PATTERN of the given SERIES is :

→ 1324 = 113 - 7

→ 1721 = 123 - 7,

→ 2190 = 133 - 7,

→ 2737 = 143 - 7,

→ 3368 = 153 - 7,

→ ? = 163 – 7

⇒ ? = 4089
24.

56, 84, ?, 189, 283.50, 425.251). 1682). 1323). 1364). 126

Answer»

In the FOLLOWING number series the pattern we observe is:

Any number = 1.5 × (PREVIOUS number)

 For example:84 = (56 × 1.5)

283.5 = (189 × 1.5)

425.25 = (1.5 ×283.5)

So, for ‘?’ we can observe:

? = 1.5 × 84

⇒ ? = 126

For confirmation we can check if 189 can be obtained from 126 in similar fashion.

i.e., 189 = 126 × 1.5
25.

1). 382). 273). 374). 35

Answer»

112 - 87 = 25

87 - 67 = 20

67 - 52 = 15

52 - 42 = 10

42 - ? = 5

? = 37

26.

1). 2062). 2093). 2054). 202

Answer»

The PATTERN of given series is:

→571847105?

→+2+11+29+58

→+9+18+29

→+9+11

⇒ ? = 11 + 2 = 13

= 13 + 29 = 42

= 42 + 58 = 100

= 100 +? 105 = 205

27.

-4, -3, 1, 19, ?1). 212). 383). 694). 115

Answer»

The pattern for the given series is:

(n! – 5) = number

Where, n! = n × (n - 1) × (n - 2)... × 1.(0! = 1)

⇒ (1!) – 5 = (1 – 5) = (- 4)

⇒ (2!) – 5 = (2 – 5) = ( -3)

⇒ (3!) – 5 = (6 – 5) = 1

⇒ (4!) – 5 = (24 – 5) = 19

⇒ (5!) – 5 = (120 – 5) = 115 = ?
28.

1). 412). 673). 2374). 434

Answer»

The pattern of the given SERIES:

Number + [(sum of digits)2 + 1] = new number

⇒ 41 + ((4 + 1)2 + 1) = 41 + (25 + 1) = 41 + 26 = 67

⇒ 67 + ((6 + 7)2 + 1) = 67 + (169 + 1) = 67 + 170 = 237

⇒ 237 + ((2 + 3 + 7)2 + 1) = 237 + (144 + 1) = 237 + 145 = 382

⇒ 382 + ((3 + 8 + 2)2 + 1) = 382 + (169 + 1) = 382 + 170 = 552

Then,

382 is the CORRECT term in place of 434.

∴ 434 is the wrong term in the series.
29.

1, 3, 24, 360, 8640, 302400, ?1). 145251002). 1541520003). 145152004). 15425100

Answer»

We get the FOLLOWING from the given SERIES:

⇒ 3/1 = 3

⇒ 24/3 = 8

⇒ 360/24 = 15

⇒ 8640/360 = 24

⇒ 302400/8640 = 35

Thus we can evaluate following pattern from the above result:

⇒ 8 – 3 = 5

⇒ 15 – 8 = 7

⇒ 24 – 15 = 9

⇒ 35 – 24 = 11

i.e. the value of differences is consecutive odd numbers.

∴ Next difference must be 13 i.e the next QUOTIENT must be

⇒ 35 +13 = 48

Now, let the required number in the given number series be X. Then,

⇒ X/302400 = 48

⇒ X = 14515200

∴ The required term in given number series is 14515200
30.

16, 48, 24, 72, 36, 108, ?1). 1482). 1963). 2164). 224

Answer»

The pattern of GIVEN series is :

→ 16,

48 = 16 × 3,

→ 24 = 48 × 0.5,

72 = 24 × 3,

36 = 72 × 0.5,

→ 108 = 36 × 3,

→ ? = 108 × 0.5,

→ ? = 54
31.

47/14, 62/19, 88/27, 122/39, 134/431). 47/142). 62/193). 88/274). 122/39

Answer»

The SERIES follows the FOLLOWING PATTERN,

⇒ (14 × 3 + 5)/14 = 47/14

⇒ (19 × 3 + 5)/19 = 62/19

(27 × 3 + 5)/27 = 86/27

⇒ (39 × 3 + 5)/39 = 122/39

⇒ (43 × 3 + 5)/43 = 134/43

∴ Wrong term in the series is 88/27
32.

7, 15, 32, ?, 138, 2811). 652). 673). 664). 57

Answer»

The pattern of the given series is as follows:

⇒ 15 = 7 × 2 + 1

32 = 15 × 2 + 2

⇒ 67 = 32 × 2 + 3

⇒ 138 = 67 × 2 + 4

281 = 138 × 2 + 5
33.

18, 20, 44, 138, 560, 2810, ?1). 168182). 168363). 168544). 16872

Answer»

The given number series is based on the following pattern.

18 × 1 + 2 = 20

20 × 2 + 4 = 44

44 × 3 + 6 = 138

138 × 4 + 8 = 560

560 × 5 + 10 = 2810

? = 2810 × 6 + 12 = 16872
34.

1600, 1600, 2400, 6000, 21000, ?1). 1155002). 2112003). 2300114). 115522

Answer»

The series follows the following PATTERN

1600 × 2/2 = 1600

1600 × 3/2 = 2400

2400 × 5/2 = 6000

6000 × 7/2 = 21000

According to the logic the NEXT number after 21000 is 21000 × 11/2 = 115500
35.

6, 18, 96, ? , 77761). 7502). 3453). 2504). 5456

Answer»

The PATTERN for the given series:

⇒ 20 × 6 = 1 × 6 = 6

⇒ 31 × 6 = 3 × 6 = 18

⇒ 42 × 6 = 16 × 6 = 96

⇒ 53 × 6 = 125 × 6 = 750 = ?

⇒ 64 × 6 = 1296 × 6 = 7776
36.

2, 4, 10, 22, ?1). 442). 383). 424). 46

Answer»

The PATTERN of the GIVEN SERIES is:

2 + 12 + 1 = 2 + 1 + 1 = 4

⇒ 4 + 22 + 2 = 4 + 4 + 2 = 10

⇒ 10 + 32 + 3 = 10 + 9 + 3 = 22

⇒ 22 + 42 + 4 = 22 + 16 + 4 = 42 = ?
37.

2, 3, 10, 39, ?1). 1722). 1543). 744). 62

Answer»

The pattern of the given series is:

⇒ (2 × 1) + 12 = 3

⇒ (3 × 2) + 22 = 10

⇒ (10 × 3) + 32 = 39

⇒ (39 × 4) + 42 = 172 = ?
38.

1). 8402). 643). 3604). 96

Answer»

128 × 0.5 = 64

64 × 1.5 = 96

96 × 2.5 = 240 (360)

240 × 3.5 = 840

840 × 4.5 = 3780
39.

12, 30, 60, 108, 180, 282, ?1).2). 4203). 4444). 496

Answer»

The pattern of the given SERIES is:

12 = 13 + 11

→ 30 = 23 + 22,

60 = 33 + 33,

→ 108 = 43 + 44,

→ 180 = 53 + 55,

→ 282 = 63 + 66,

→ ? = 73 + 77,

⇒ ? = 420
40.

41, 123, ?, 4920, 639601). 6142). 6153). 6164). 617

Answer»

Fibonacci Series is a special number series in which each term is obtained by ADDING the PREVIOUS 2 terms starting from 1, 1.

The Fibonacci Range Used: 3, 5, 8, 13

41 × 3 = 123

123 × 5 = 615

615 × 8 = 4920

4920 × 13 = 63960

∴ The missing term is 615 & correct alternative is 2.
41.

1). 2042). 2083). 2064). 202

Answer»

The series FOLLOWS the following pattern:

6 × 1 + 1 = 7

7 × 2 + 2 = 16

16 × 3 + 3 = 51

51 × 4 + 4 = 208 = ?

208 × 5 + 5 = 1045

∴ The MISSING term is 208. $

42.

1). 66362). 63663). 63364). 6633

Answer»

11 × 22 = 44

44 × 32 = 396

396 × 42 = 6336 = ?

6336 × 52 = 158400.

43.

17, 18, 14, 23, 7, ?1). 322). 433). 254). 27

Answer»

The PATTERN of the GIVEN SERIES is:

⇒ 17 + 12 = 17 + 1 = 18

⇒ 18 - 22 = 18 - 4 = 14

⇒ 14 + 32 = 14 + 9 = 23

⇒ 23 - 42 = 23 - 16 = 7

⇒ 7 + 52 = 7 + 25 = 32 = ?
44.

50, 24, ?, 40, 1521). 202). 483). 344). 22

Answer»

50,

50 × 0.5 - 1 = 24

24 × 1 - 2 = 22

22 × 2 - 4 = 40

40 × 4 - 8 = 152

45.

3, 11, 31, 69, 131, 223, ?1). 3512). 3503). 3494). 270

Answer»

If we look at the numbers carefully, they follow the pattern,

⇒ 3 = 13 + 2

⇒ 11 = 23 + 3

31 = 33 + 4

⇒ 69 = 43 + 5

⇒ 131 = 53 + 6

⇒ 223 = 63 + 7

According to the pattern, the next NUMBER should be,

⇒ 73 + 8 = 351

∴ ? = 351
46.

1). 3.52). 19.53). 1371.56254). 144.375

Answer»

1 × 3.5 = 3.5

⇒ 3.5 × 5.5 = 19.25

⇒ 19.25 × 7.5 = 144.375

⇒ 144.375 × 9.5 = 1371.5625

WRONG NUMBER in SERIES = 19.5

47.

7, 9, 19, 45, 95, ?1). 1502). 1603). 1454). 177

Answer»

The pattern of the given series is:

7,

9 = 7 + 12 + 1

19 = 9 + 32 + 1

→ 45 = 19 + 52 + 1

95 = 45 + 72 + 1

→ ? = 95 + 92 + 1

⇒ ? = 177
48.

1). 1482). 1383). 1354). 147

Answer»

Difference49 36 25 16 than 9This are the perfect squre of 7 6 5 4 and than 3..So we ADD 9 in 133 .. than the right ans is 142 ..GIVEN options are wrong in this series..

49.

41, 43, 55, 85, ?1). 1622). 1213). 4144). 91

Answer»

The pattern of the given SERIES:

⇒ 41 + (22 - 2) = 41 + (4 - 2) = 41 + 2 = 43

⇒ 43 + (42 - 4) = 43 + (16 - 4) = 43 + 12 = 55

⇒ 55 + (62 - 6) = 55 + (36 - 6) = 55 + 30 = 85

⇒ 85 + (82 - 8) = 85 + (64 - 8) = 85 + 56 = 141 = ?
50.

0.8, 2.4, 7.2, 21.6, ?1). 23.22). 363). 58.64). 64.8

Answer»

The PATTERN of the GIVEN SERIES is:

⇒ 0.8 × 3 = 2.4

⇒ 2.4 × 3 = 7.2

⇒ 7.2 × 3 = 21.6

⇒ 21.6 × 3 = 64.8 = ?