TISSNET Number Series Questions [Download PDF]
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Instructions
In each of the following questions a number series is given.After the series , a number is given followed by a (a),(b),(c),(d) and (e).You are required to complete the series starting with the number given following the sequences of the given series?
Question 1: 12 24 96 576 4608
5 (a) (b) (c) (d) (e)
What will come in place of (c) ?
a) 1080
b) 676
c) 3608
d) 3456
e) None of these
1) Answer (E)
Solution:
The pattern followed is that all the even natural numbers are multiplied.
12 $\times 2$ = 24
24 $\times 4$ = 96
96 $\times 6$ = 576
576 $\times 8$ = 4608
Similarly,
5 $\times 2$ = 10
10 $\times 4$ = 40
40 $\times 6$ = 240
=> Ans – (E)
Question 2: 150 299 601 1197 2401 4793
60 (a) ( b) (c) (d) (e)
What will come in place of (e) ?
a) 1917.2
b) 1913
c) 1922
d) 861
e) None of these
2) Answer (B)
Solution:
The pattern followed is :
150 $\times 2 – 1$ = 299
299 $\times 2 + 3$ = 601
601 $\times 2 – 5$ = 1197
1197 $\times 2 + 7$ = 2401
2401 $\times 2 – 9$ = 4793
Similarly,
60 $\times 2 – 1$ = 119
119 $\times 2 + 3$ = 241
241 $\times 2 – 5$ = 477
477 $\times 2 + 7$ = 961
961 $\times 2 – 9$ = 1913
=> Ans – (B)
Question 3: 3 9 81 6561
2 (a) (b) (c) (d) (e)
What will come in place of (d) ?
a) 656
b) 4374
c) 1024
d) 65536
e) None of these
3) Answer (D)
Solution:
The pattern followed is that each number is squared
$3^2$ = 9
$9^2$ = 81
$81^2$ = 6561
Similarly,
$2^2$ = 4
$4^2$ = 16
$16^2$ = 256
$256^2$ = 65536
=> Ans – (D)
Question 4: 3 7 24 101 512
5 (a) (b) (c) (d) (e)
What will come in place of (c) ?
a) 55
b) 149
c) 168
d) 752
e) None of these
4) Answer (B)
Solution:
The pattern followed is :
3 $\times 2+1$ = 7
7 $\times 3+3$ = 24
24 $\times 4+5$ = 101
101 $\times 5+7$ = 512
Similarly,
5 $\times 2+1$ = 11
11 $\times 3+3$ = 36
36 $\times 4+5$ = 149
=> Ans – (B)
Instructions
What will come in place of the question mark (?) in each of the following number series.
Question 5: 8, 5.5, 8.5, 23, 89.5, ?
a) 455
b) 420.5
c) 445
d) 415.5
e) 433
5) Answer (C)
Solution:
The pattern followed is :
8 $\times 1 – 2.5$ = 5.5
5.5 $\times 2 – 2.5$ = 8.5
8.5 $\times 3 – 2.5$ = 23
23 $\times 4 – 2.5$ = 89.5
89.5 $\times 5 – 2.5$ = 445
Question 6: 31, 15, 21, 50, ?, 767.25
a) 160.5
b) 171.5
c) 156.5
d) 122.5
e) 143.5
6) Answer (B)
Solution:
The pattern followed is :
31 $\times 0.5 – 0.5$ = 15
15 $\times 1.5 – 1.5$ = 21
21 $\times 2.5 – 2.5$ = 50
50 $\times 3.5 – 3.5$ = 171.5
171.5 $\times 4.5 – 4.5$ = 767.25
Question 7: 402, 400, 388, 358, 302, ?
a) 212
b) 236
c) 190
d) 182
e) 210
7) Answer (A)
Solution:
The pattern followed is :
402 $- (1 \times 2)$ = 400
400 $- (3 \times 4)$ = 388
388 $- (5 \times 6)$ = 358
358 $- (7 \times 8)$ = 302
302 $- (9 \times 10)$ = 212
Question 8: 16, 19, 24, 33, 50, ?
a) 83
b) 66
c) 99
d) 74
e) 102
8) Answer (A)
Solution:
The pattern is :
16 + 3 = 19
19 + 5 (= 3 + 2) = 24
24 + 9 (= 5 + 4) = 33
33 + 17 (= 9 + 8) = 50
50 + 33 (= 17 + 16) = 83
Question 9: 158, 78, 38, 18, 8, ?
a) 3
b) 5
c) 2
d) 7
e) 6
9) Answer (A)
Solution:
Each number is divided by 2 and then 1 is subtracted.
158 $\div 2 – 1$ = 78
78 $\div 2 – 1$ = 38
38 $\div 2 – 1$ = 18
18 $\div 2 – 1$ = 8
8 $\div 2 – 1$ = 3
Instructions
What should come in place of question mark (?) in the following number series?
Question 10: 89250 17850 7140 1428 571.2 ?
a) 228.48
b) 126.12
c) 114.24
d) 246.48
e) None of these
10) Answer (C)
Solution:
The numbers are alternatively divided by 5 and 2.5
89250 $\div 5$ = 17850
17850 $\div 2.5$ = 7140
7140 $\div 5$ = 1428
1428 $\div 2.5$ = 571.2
571.2 $\div 5$ = 114.24
Question 11: 1.5 4 20 129 ? 10505
a) 1044
b) 1048
c) 1548
d) 1052
e) None of these
11) Answer (B)
Solution:
Consecutive even numbers are multiplied and then square of natural numbers are added.
1.5 $\times 2 + 1^2$ = 4
4 $\times 4 + 2^2$ = 20
20 $\times 6 + 3^2$ = 129
129 $\times 8 + 4^2$ = 1048
1048 $\times 10 + 5^2$ = 10505
Question 12: 6 349 565 ? 754 781
a) 629
b) 590
c) 601
d) 690
e) None of these
12) Answer (D)
Solution:
Cubes of natural numbers are added.
6 $+ 7^3$ = 349
349 $+ 6^3$ = 565
565 $+ 5^3$ = 690
690 $+ 4^3$ = 754
754 $+ 3^3$ = 781
Question 13: 4 12 60 420 ? 41580
a) 4620
b) 3780
c) 4200
d) 5040
e) None of these
13) Answer (B)
Solution:
Consecutive odd numbers starting from 3 are multiplied.
4 $\times 3$ = 12
12 $\times 5$ = 60
60 $\times 7$ = 420
420 $\times 9$ = 3780
3780 $\times 11$ = 41580
Question 14: 3 4 12 ? 576 27648
a) 64
b) 96
c) 36
d) 52
e) None of these
14) Answer (E)
Solution:
Each number is multiplied by the next number
3 $\times 4$ = 12
4 $\times 12$ = 48
12 $\times 48$ = 576
48 $\times 576$ = 27648
Instructions
What will come in place of the question mark (?) in the following series ?
Question 15: 15 17 21 29 45 77 ?
a) 109
b) 125
c) 141
d) 173
e) None of these
15) Answer (C)
Solution:
The pattern followed is :
15 $+ 2^1$ = 17
17 $+ 2^2$ = 21
21 $+ 2^3$ = 29
29 $+ 2^4$ = 45
45 $+ 2^5$ = 77
77 $+ 2^6$ = 141
Question 16: 15 17 32 49 81 130 ?
a) 179
b) 211
c) 194
d) 226
e) None of these
16) Answer (B)
Solution:
Previous number is added to each number to get the next number
17 + 15 = 32
32 + 17 = 49
49 + 32 = 81
81 + 49 = 130
130 + 81 = 211
Question 17: 104 153 189 214 ?
a) 239
b) 225
c) 264
d) 235
e) None of these
17) Answer (E)
Solution:
Squares of natural numbers are added.
104 $+ 7^2$ = 153
153 $+ 6^2$ = 189
189 $+ 5^2$ = 214
214 $+ 4^2$ = 230
Question 18: 1 ?? 27 64 125
a) 14
b) 4
c) 9
d) 8
e) None of these
18) Answer (D)
Solution:
This is a series of cubes of natural numbers.
$1^3$ = 1
$2^3$ = 8
$3^3$ = 27
$4^3$ = 64
$5^3$ = 125
Question 19: 12 22 69 272 1365 ?
a) 8196
b) 8184
c) 8195
d) 6830
e) None of these
19) Answer (B)
Solution:
The pattern followed is :
12 $\times 2 – 2$ = 22
22 $\times 3 + 3$ = 69
69 $\times 4 – 4$ = 272
272 $\times 5 + 5$ = 1365
1365 $\times 6 – 6$ = 8184
Question 20: What will come in place of the question mark (?) in the following number series?
20 23 30 43 64 ?
a) 95
b) 90
c) 100
d) 105
e) 96
20) Answer (A)
Solution:
Numbers of the form $n^2 – (n-1)$ are added, where $n$ is an integer starting from 2
23 $+ 2^2 – 1$ = 23
23 $+ 3^2 – 2$ = 30
30 $+ 4^2 – 3$ = 43
43 $+ 5^2 – 4$ = 64
64 $+ 6^2 – 5$ = 95
