Quantitative Aptitude: Number Series Set 78

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

1. 6, 3, 3, 4.5, 9, ?
22.5
12.5
18
26
None
Option A
Solution:
6*1/2=3
3*2/2=3
3*3/2=4.5
4.5*4/2=9
9*5/2=22.5
2. 64, 125, ?, 111, 36, 97
105
46
50
117
None
Option C
Solution:
—— (125-111=14)—-(111-97=14)
64——125——50——111——36——97
—— (64-50=14)—–(50-36=14).
3. 54, 72, 101, 141, ?, 254
192
164
182
229
None
Option A
Solution:
54—–72—–101—–141—–192—–254
—–18—–29—–40——-51——-62
———11—-11——-11——11.
4. 15, 16, 24, ?, 97, 122
29
33
46
54
None
Option B
Solution:
15+12=16
16+23=24
24+32=33
33+43=97
97+52=122.
5. 8, 4, 8/3, ?, 8/5, 4/3
3
4/5
5/6
2
None
Option D
Solution:
8*1/2=4
4*2/3=8/3
8/3*3/4=2
2*4/5=8/5
8/5*5/6=4/3.
6. 45, 49, 33, 69, ?, 105
53
5
26
19
None
Option B
Solution:
45+22=49
49-42=33
33+62=69
69-82=5
5+102=105.
7. 25, ?, 56, 177, 724, 3645
46
32
26
29
None
Option C
Solution:
25*1+12=26
26*2+22=56
56*3+32=177
177*4+42=724
724*5+52=3645.
8. 8, 4.5, ?, 9.75, 21.5, 56.25
5.5
8.25
6.75
5.25
None
Option A
Solution:
8*0.5+0.5=4.5
4.5*1+1=5.5
5.5*1.5+1.5=9.75
9.75*2+2=21.5
21.5*2.5+2.5=56.25.
9. 8, 12, 24, 36, 72, ?
94
108
112
134
None
Option B
Solution:
8*1.5=12
12*2=24
24*1.5=36
36*2=72
72*1.5=108.
10. 15, 25, 60, ?, 770, 3860
95
340
215
190
None
Option D
Solution:
15*1+10=25
25*2+10=60
60*3+10=190
190*4+10=770
770*5+10=3860.

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