# Quantitative Aptitude: Number Series Set 63

Directions: The following series are based on a certain pattern. Find the number represented by question mark (?) in the following series:

1. 3     4    ?    11    25    78
9
6.5
4.5
5
6
Option C
Solution:
*1+1, *1.5-1.5, *2+2, *2.5-2.5, *3+3
4*1.5 – 1.5=4.5.
2. 1    6    33    170    ?    4294
857
755
812
923
778
Option A
Solution:
*5+1, *5+3, *5+5, *5+7, *5+9
170*5 +7=857.
3. 4    ?    16    42    92    174
10
6
12
8
11
Option B
Solution:
+12+1, +32+1, +52+1, +72+1, +92+1
4+12+1=6.
4. 6    6    8    11    14.5    ?
17.25
18.5
17.75
18.25
19.50
Option D
Solution:
/2+3, /2+5, /2+7, /2+9, /2+11
14.5/2+11=18.25.
5. 4    6    12    ?    30    42
22
26
18
16
None of these
Option C
Solution:
4 (3 and 5 are prime no)
6 (5 and 7 are prime no)
12 (11 and 13 are prime no)
18 (17 and 19 are prime no)
30 (29 and 31 are prime no)
42 (41 and 43 are prime no).
6. 21    32    ?    87    131    186
54
65
73
68
70
Option A
Solution:
+11*1, +11*2, +11*3, +11*4, +11*5
32+(11*3)=54.
7. 5    12    24   ?    52    68
48
36
42
38
None of these
Option B
Solution:
2+3 , 5+7 , 11+13 , 17+19 , 23+29 , 31+37
17+19=36.
8. 13    17    ?    37   53    73
21
25
32
35
20
Option B
Solution:
+4, +8, +12, +16, +20
17+8=25.
9. 3    7   19    55    163     ?
487
366
389
435
None of these
Option A
Solution:
3           7        19      55            163             487(163+324)
.      4          12       36      108            324
4*3=12, 12*3=36, 36*3=108, 108*3=324.
10. 11    16    23    32    43    ?
64
73
67
56
None of these
Option D
Solution:
11      16       23      32     43      56
.     5         7        9       11      13

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