Directions(1-10): Find the missing number in the given series:
1. 11, 15, 29, 59, 111, _
A. 191
B. 193
C. 192
D. 198
E. 196
2. 22, 32, 73, 227, _
A. 825
B. 915
C. 925
D. 960
E. 900
3. 4, 3, 6, 21, 56, _
A. 120
B. 121
C. 119
D. 118
E. 117
4. 5, 6, _, 45, 184
A. 12
B. 13
C. 14
D. 15
5. 50, 562, 762, 2524, 6189, _
A. 20285
B. 20295
C. 20005
D. 21025
E. None of these
6. 40, 53, 78, 119, 180, _
A. 275
B. 265
C. 215
D. 280
E. 195
7. 6, 5, 8, 20, 72, _
A. 344
B. 244
C. 324
D. 224
E. 124
8. 5, 20, 0, 25, -5, _
A. 25
B. 30
C. 35
D. 40
E. 20
9. 527, 523, 514, 498, 473, _
A. 436
B. 437
C. 486
D. 487
E. 453
10. 13, 18, 32, 56, 91, _
A. 136
B. 135
C. 144
D. 156
E. 138
ANSWERS
1. A
15 - 11 = 4
29 - 15 = 14
59 - 29 = 30
111 - 59 = 52
Now finding the difference of the difference,
14 - 4 = 10
30 - 14 = 16
52 - 30 = 22
Further calculating the difference
16 - 10 = 6
22 - 16 = 6
2. B
22*1 +10 = 32
32*2 + 9 = 73
73*3 + 8 = 227
227*4 + 7 = 915
3. C
4 + 0^2 - 1 = 3
3 + 2^2 - 1 = 6
6 + 4^2 - 1 = 21
21 + 6^2 - 1 = 56
56 + 8^2 - 1 = 119
4. C
5*1 + 1 = 6
6*2 + 2 = 14
14*3 + 3 = 45
45*4 + 4 = 184
5. B
50*1 + 8^3 = 562
562*1.5 - 9^2 = 762
762*2 + 10^3 = 2524
2524*2.5 - 11^2 - 6189
6189*3 + 12^3 = 20295
6. B
40 + 2^2 + 3^2 = 53
53 + 3^2 + 4^2 = 78
78 + 4^2 + 5^2 = 119
119 + 5^2 + 6^2 = 180
180 + 6^2 + 7^2 = 265
7. A
6*1 - 1 = 5
5*2 - 2 = 8
8*3 - 4 = 20
20*4 - 8 = 72
72*5 - 16 = 344
8. B
5 + 15 = 20
20 - 20 = 0
0 + 25 = 25
25 - 30 = -5
-5 + 35 = 30
9. B
527 - 2^2 = 523
523 - 3^2 = 514
514 - 4^2 = 498
498 - 5^2 = 473
473 - 6^2 = 437
10. E
18 – 13 = 5
32 – 18 = 14
56 – 32 = 24; 14 – 5 = 9; 24 – 14 = 10
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