# Quantitative Aptitude: Number Series Set 81

Directions(1-10): The following series are based on a certain pattern. One of the number in series is missing given by ?. Find that number.

1. 14, ?, 56, 272, 1568, 9344
42
40
28
20
33
Option D
14, ?, 56, 272, 1568, 9344
14+6 = 20
20+ (6)2 = 56
56 + (6)3 = 272
272 + (6)4 = 1568
1568 + (6)5 = 9344

2. 22, 23 , 50, ?, 652, 3285
159
150
135
132
148
Option A
22, 23 , 50, ?, 652, 3285
22*1 + (1)2 = 23
23*2 + (2)2 = 50
50*3 + (3)2 = 159
159*4 + (4)2 = 652
652*5 + (5)2 = 3285

3. 15, 8, 9, 15, ?, 82.5
42
40
28
32
30
Option D
15, 8, 9, 15, ?, 82.5
15 * 0.5 + 0.5 = 8
8 * 1 + 1 = 9
9 * 1.5 + 1.5 = 15
15 * 2 + 2 = 32
32 * 2.5 + 2.5 = 82.5

4. 8, 49, 244, ?, 2930, 5861
600
720
850
900
977
Option E
8, 49, 244, ?, 2930, 5861
8*6 +1 = 49
49 *5 – 1 = 244
244 *4 +1 = 977
977 *3 -1 = 2930
2930 *2 +1 = 5861

5. 5, 20, 84, 249, ?, 499
480
540
620
500
550
Option D
5, 20, 84, 249, ?, 499
5 * 5 – 5 = 20
20 * 4 + 4 = 84
84 * 3 – 3 = 249
249 * 2 + 2 = 500
500 * 1 – 1 = 499

6. 36, 61, 45, ?, 50, 51
30
54
50
42
57
Option B
36, 61, 45, ?, 50, 51
36 + (5)2 = 61
61 – (4)2 = 45
45 + (3)2 = 54
54 – (2)2 = 50
50 + (1)2 = 51

7. 14, 10, 31, ?, 129, 287
22
20
35
19
26
Option E
14, 10, 31, ?, 129, 287
14*1 – (2)2 = 10
10*1.5 + (4)2 = 31
31 * 2 – (6)2 = 26
26*2.5 + (8)2 = 129
129 *3 – (10)2 = 287

8. 10, 29, ?, 107, 205, 419
40
49
45
38
42
Option B
10, 29, ?, 107, 205, 419
10 * 2 + (3)2 = 29
29 * 2 – (3)2 = 49
49 * 2 + (3)2 = 107
107 * 2 – (3)2 = 205
205 * 2 + (3)2 = 419

9. 40, 161, ?, 555, 844, 1205
280
300
330
250
325
Option C
40, 161, ?, 555, 844, 1205
40 + (11)2 = 161
161 + (13)2 = 330
330 + (15)2 = 555
555 + (17)2 = 844
844 + (19)2 = 1205

10. 14, 8, 6, 4, 5, ?
3.5
4
3.2
4.5
5.3
Option A
14, 8, 6, 4, 5, ?
14 * (1/2) + (1)2 = 8
8 * (1/4) + (2)2 = 6
6 * (1/2) + (1)2 = 4
4 * (1/4) + (2)2 = 5
5 * (1/2) + (1)2= 3.5