Number Series Questions For SSC MTS
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Instructions
In the following question, select the missing number from the given series.
Question 1: 4,4,8,12,16,36,32,?
a) 96
b) 108
c) 114
d) 128
Question 2: 2,6,12,20,30,?
a) 40
b) 36
c) 28
d) 42
Question 3: -1,3,15,35,63,?
a) 87
b) 99
c) 92
d) 77
Question 4: 3,6,24,192,3072,?
a) 99212
b) 98208
c) 98304
d) 96484
Question 5: 0,1,5,14,30,55,?
a) 84
b) 91
c) 104
d) 74
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Question 6: 0,3,8,15,24,?
a) 26
b) 48
c) 35
d) 29
Question 7: 0,7,26,63,124,?
a) 342
b) 215
c) 224
d) 142
Question 8: 3,4,12,39,103,?
a) 244
b) 256
c) 228
d) 262
Question 9: 4,4,6,12,30,?
a) 65.8
b) 75
c) 66.67
d) 90
Question 10: 2,2,4,16,128,?
a) 2048
b) 2196
c) 1248
d) 1684
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Question 11: 11,39,525,749,981,?
a) 1024
b) 729
c) 8476
d) 11121
Question 12: A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
3888, -1296, 432, ? , 48, -16
a) 72
b) 144
c) 48
d) 75
Question 13: A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
1440, -720, 360, ? , 90, -45
a) 72
b) 180
c) 48
d) 75
Question 14: A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
480, -240, 120, ? , 30, -15
a) -72
b) -60
c) -48
d) -75
Instructions
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
Question 15: 91,97,107,121,?
a) 137
b) 139
c) 135
d) 133
Question 16: 21,23,31,63,?
a) 127
b) 191
c) 95
d) 193
Question 17: 3,7,12,18,?
a) 25
b) 24
c) 26
d) 27
Question 18: 12,12,6,2,?
a) 1
b) 0.5
c) 0.25
d) 0.66
Question 19: 2,10,30,68,?
a) 120
b) 130
c) 110
d) 140
Question 20: -1,0,7,26,?
a) 57
b) 60
c) 63
d) 66
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Answers & Solutions:
1) Answer (B)
Given series is a double series.
4,8,16,32,…. and 4,12,36,….
In the first series,
4*2 = 8
8*2 = 16
16*2 = 32
In the second series,
4*3 = 12
12*3 = 36
Similarly next number should be
36*3 = 108.
2) Answer (D)
1*2 = 2
2*3 = 6
3*4 = 12
4*5 = 20
5*6 = 30
Similarly next number should be
6*7 = 42
3) Answer (B)
$0^2 -1 = 0-1 = -1$
$2^2 -1 = 4-1 = 3$
$4^2 – 1 = 16-1 = 15$
$8^2-1 = 64-1 = 63$
Similarly Next number should be
$10^2-1 = 100-1 = 99$
4) Answer (C)
3*2 = 6
6*4 = 24
24*8 = 192
192*16 = 3072
Similarly Next number should be
3072*32 = 98304
5) Answer (B)
$0+1^2 = 0+1 = 1$
$1+2^2 = 1+4 = 5$
$5+3^2 = 5+9 = 14$
$14+4^2 = 14+16 = 30$
$30+5^2 = 30+25 = 55$
Similarly Next number should be
$55+6^2 = 55+36 = 91$
6) Answer (C)
$1^2-1 = 1-1 = 0$
$2^2-1 = 4-1 = 3$
$3^2-1 = 9-1 =8$
$4^2-1 =16-1 = 15$
$5^2-1 = 25-1 = 24$
Similarly Next number should be
$6^2-1 = 36-1 = 35$
7) Answer (B)
$1^3-1 = 1-1 = 0$
$2^3-1 = 8-1 = 7$
$3^3-1 = 27-1 = 26$
$4^3-1 = 64-1 = 63$
$5^3-1 = 125-1 = 124$
Similarly, Next number should be
$6^3-1 = 216-1 = 215$
8) Answer (C)
$3+1^3 = 3+1 = 4$
$4+2^3 = 4+8 = 12$
$12+3^3 = 12+27 = 39$
$39+4^3 = 39+64 = 103$
Similarly, Next number should be
$103+5^3 = 103+125 = 228$
9) Answer (D)
4*1 = 4
4*1.5 = 6
6*2 = 12
12*2.5 = 30
Hence, Next number should be
30*3 = 90.
10) Answer (A)
2*1 = 2
2*2 = 4
4*4 = 16
16*8 = 128
Hence, Next number should be
128*16 = 2048
11) Answer (D)
The given series is in the form of $[x][x^2]$
$11 → [1][1^2]$
1+2 = 3
$39 → [3][3^2]$
3+2 = 5
$525 → [5][5^2]$
Similarly, Next number should be
9+2 = 11
$[11][11^2] = [11][121] = 11121$
12) Answer (B)
The pattern is that each number is divided by -2
$3888\div-3 = -1296$
$-1296\div-3 = 432$
$432\div−3 = -144$
$-144\div−3 = 48$
$48\div-3 = -16$
=> Ans – (B)
13) Answer (B)
The pattern is that each number is divided by -2
$1440\div-2 = -720$
$-720\div-2 = 360$
$360\div−2 = -180$
$-180\div−2 = 90$
$90\div-2 = -45$
=> Ans – (B)
14) Answer (B)
The pattern is that each number is divided by -2
$480\div-2 = -240$
$-240\div-2 = 120$
$120\div−2 = -60$
$-60\div−2 = 30$
$30\div-2 = -15$
=> ans B
15) Answer (B)
In this series next term is obtained by adding 6,10,14,18…respectively i.e
91+6=97
97+10=107
107+14=121
121+18=139
16) Answer (B)
In this series next term is obtained by adding odd powers of 2 to the previous term i.e 21+2=23
23+8=31
31+32=63
63+128=191
17) Answer (A)
In this series next term is obtained by adding natural number starting from 4 i.e
3+4=7
7+5=12
12+6=18
18+7=25
18) Answer (B)
In this series next term is obtained by dividing with natural numbers starting from 1 i.e 12/1=12
12/2=6
6/3=2
2/4=0.5
19) Answer (B)
In this series each term is n^{3}+n starting from n=1 i.e for n=1 we have 2
For n=2 we have 10
For n=3 we have 30
For n=4 we have 68
For n=5 we have 130
20) Answer (C)
In this each term follows the trend of $n^{3}-1$ starting from n=0 i.e
0-1=-1
1-1=0
8-1=7
27-1=26
64-1=63