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- In a simple series, the difference between two consecutive numbers is constant
- Example: 27, 24, 21, 18, __
- [Rule: There is a difference of (-3) between each item. The missing number in this case is 15]
- Example: 3, 4, 6, 9, 13, 18, __
- [Rule: Add 1 to the difference between two adjacent items. After the first number add 1, after the second number add 2…etc In this case the missing number is 24]
- Check whether adjacent numbers in the series change based on a logical pattern
- Example: 2, 4, 12, 48, __
- [Rule : Multiply the first number by 2, the second number by 3 and so on The missing number is 240]
- See if you can find a rule that involves using two or more basic arithmetic functions (+, -, ÷, x). In the below series, the functions alternate in an orderly fashion
- Example: 5, 7, 14, 16, 32, 34, __
- [Rule: Add 2, multiply by 2 , add 2, multiply by 2 etc. the missing item is 68]
- There can also be series, they difference themselves create a series:
- Example : +2, /3, x4, -5
- [Rule: The number advance by intervals of 1 and the arithmetic function change in an ordinary sequence here the next Arithmetic function will be 9(3+6=9)]
In a more complex series the differences between numbers may be dynamic rather than fixed, but there still is a clear logical rule.
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[/vc_toggle][vc_toggle title=”Test – Number Series” el_id=”1481454458410-9a4a39ac-c8b7″]
Number Series - Question And Answers
Question 1 |
196 | |
215 | |
217 | |
225 |
2 cube-1 = 7
3 cube+1 = 28
4 cube-1 = 63
5 cube+1 = 126
6 cube-1 = 215
Question 2 |
275 | |
341 | |
583 | |
493 |
Question 3 |
412 | |
416 | |
422 | |
426 |
410+8 = 418 418+8 = 426
The two series are combined together
Question 4 |
2676 | |
2 | |
445 | |
86 |
1, 2,6,21,86,445,2676
The wrong term has to be found out
1 *1+1 = 2
2*2 + 2 = 6
6*3+3 = 21
21*4+4 =88
88*5+5 =445
Hence, 86 is wrong. It should be 88
Question 5 |
45 | |
90 | |
91 | |
35 |
3, 7, 15, 31
22, 45, ?
The number is doubled and 1 is added to it.
(45*2)+1 = 91
Question 6 |
22 | |
27 | |
23 | |
28 |
19,20,21,22, and
24, 25, 26...
Question 7 |
7 | |
8 | |
9 | |
10 |
The sum of the second and second from last number is 20
In this way, 11+9 = 20
Question 8 |
15 | |
16 | |
17 | |
18 |
1, 3, 7, ?
2, 6, 14, 30
1+2 = 3
3+4=7
7+8 = 15
Question 9 |
16 and 8 | |
36 and 4 | |
25 and 5 | |
49 and 7 |
The numbers in the third row are multiples of 2
So, 16 and 8
Question 10 |
76 | |
75 | |
74 | |
72 |
Missing number = 37*2+1 = 75
Question 11 |
2/3 | |
3 | |
6 | |
27 |
1*3 = 3
Question 12 |
11 | |
10 | |
8 | |
9 |
8, 14, 20...
3+3 = 6
6+3 = 9
Question 13 |
10 | |
11 | |
13 | |
21 |
3, 6,9,12
1+2 = 3
3+4 =7
7+6 = 13
13+8 = 21
Question 14 |
210 | |
240 | |
250 | |
180 |
1*2*3 = 6
2*3*4 = 24
3*4*5 =60
4*5*6 = 120
5*6*7 = 210
Question 15 |
579 | |
578 | |
568 | |
478 |
Missing number = 467+111 = 578
Question 16 |
147 | |
162 | |
183 | |
192 |
Missing number = 3*72 = 3*49 = 147
Question 17 |
21 | |
25 | |
27 | |
33 |
i.e +1, +(1+2), +(1+2+3),....
Missing number = 15 + (1+2+3+4) = 25
Question 18 |
34 | |
54 | |
55 | |
56 |
Missing number = 45 – 11 = 34
Question 19 |
0.9 | |
0.82 | |
1 | |
0.95 |
Missing number = 0.8+0.20 = 1
Question 20 |
246 | |
247 | |
248 | |
249 |
Missing number = 121*2+6 = 248
Question 21 |
322 | |
332 | |
342 | |
352 |
Missing number = 380 – 38 = 342
Question 22 |
0 | |
1 | |
2 | |
3 |
Missing term = (4/2) + 1 = 3
Question 23 |
115 | |
148 | |
170 | |
181 |
i.e..., +(11*1), +(11*3), +(11*5),....
Missing number = 104 + (11*7) = 181
Question 24 |
154.5 | |
162.5 | |
164.5 | |
166.5 |
Missing term = 138+24.5 = 162.5
Question 25 |
1038 | |
1998 | |
3008 | |
3968 |
Thus, 22 -1 = 3,
32 -1 = 8,
82 – 1 = 63
Missing number = (63)2 -1 = 3969 – 1 = 3968
Question 26 |
24 | |
25 | |
26 | |
27 |
Missing number = 18 + 8 = 26
Question 27 |
111 | |
120 | |
121 | |
132 |
Missing number = 80+52 = 132
Question 28 |
37 | |
44 | |
50 | |
55 |
Thus, 1+3+4 = 8;
3+4+8 = 15;
4+8+15 = 27 and so on.
Missing number = 8+15+27 = 50
Question 29 |
54 | |
60 | |
66 | |
72 |
I. 3,5,7,9 and
II. 6, 20, 42, (....)
The pattern is followed in II is +14, +22...
Missing number = 42 + 30 = 72
Question 30 |
145 | |
129 | |
113 | |
97 |
i.e. +22, +23, +24, +25...
Missing number =81+26 = 81+64 = 145
Question 31 |
3 | |
6 | |
8 | |
9 |
Thus, 6*6 = 36,
3*6 = 18 and so on.
Question 32 |
144 | |
216 | |
288 | |
360 |
Missing number = 75 * 5 = 360
Question 33 |
43 | |
49 | |
50 | |
59 |
i.e.., +12, +22, +32, +42....
Missing number = 34+52 = 34+25 = 59
Question 34 |
18 | |
27 | |
36 | |
81 |
Thus, 1*2 = 2,
2*3/2 = 3,
3*2 = 6,
6 * 3/2 = 9 and so on
Missing number = 18 * 3/2 = 27
Question 35 |
228 | |
228 | |
352 | |
456 |
I. 19, 38, 114, (.....) and
II. 2, 3, 4
The pattern followed in I is *2, *3...
Missing number = 114*4 = 456
Question 36 |
24 | |
22 | |
20 | |
18 |
Missing number = 52 -1 = 24
Question 37 |
441 | |
484 | |
529 | |
729 |
i.e. 112, (11+4*1)2, (11+4*2)2...
Missing number = (11+4*3)2= (23)2 = 529
Question 38 |
45.5 | |
39.5 | |
30.5 | |
40.5 |
Missing number = 13.5*3 = 40.5
Question 39 |
9 | |
11 | |
13 | |
15 |
Missing number = 13.5*3 = 40.5
Question 40 |
25 | |
26 | |
27 | |
28 |
Missing number = 15+13 = 28
Question 41 |
92 | |
115 | |
127 | |
131 |
Thus, (3*2) + 1 = 7
(7*2)+1 = 15
(15*2) +1 = 31 and so on
Missing number = (63*2) + 1 = 127
Question 42 |
60 | |
65 | |
68 | |
70 |
Missing number = 45+20 =65
Question 43 |
14 | |
16 | |
18 | |
24 |
Missing number = 9+5 = 14
Question 44 |
97 | |
98 | |
99 | |
100 |
Missing number = 73+24 = 97
Question 45 |
324 | |
243 | |
210 | |
162 |
Missing number = 81*3 = 243
Question 46 |
44 | |
45 | |
46 | |
47 |
Missing number = 33+13 = 46
Question 47 |
22 | |
24 | |
25 | |
26 |
22,23,24,25, and
21,22,23,24...
Hence, 25 comes next
Question 48 |
8 | |
10 | |
15 | |
20 |
40/5 = 8
Question 49 |
3 | |
3.3 | |
3.5 | |
3.6 |
3.6 comes next
Question 50 |
20 | |
25 | |
30 | |
50 |
80,70,60,50.... and
10, 15, 20 ,....
Hence, 20 comes next
Question 51 |
14, 11 | |
15, 12 | |
8, 15 | |
15, 19 |
8, 9,10,11,12, and
12,13,14,15...
Hence, the answer is 15, 12
Question 52 |
16 and 8 | |
16 and 8 | |
16 and 8 | |
49 and 7 |
The numbers in the third row are multiples of 2
So, 16 and 8
Question 53 |
15 | |
16 | |
17 | |
18 |
2, 6, 14, 30
1+2 = 3
3+4 =7
7+8 =15
Question 54 |
7 | |
8 | |
9 | |
10 |
The sum of the second and second from last number is 20
In this way, 11+9 = 20
Question 55 |
13 | |
14 | |
15 | |
17 |
11,12,13,14... and
14, 15, 16...
Question 56 |
22 | |
27 | |
23 | |
28 |
19,20,21,22,... and
24, 25, 26,...
Question 57 |
45 | |
90 | |
91 | |
35 |
3, 7, 15, 31
22, 45,?
The number is doubled and 1 is added to it.
(45*2)+1 = 91
Question 58 |
42 | |
40 | |
38 | |
39 |
54-9 = 45
45-4 = 41
41-1 = 40
Question 59 |
5 | |
8 | |
10 | |
1 |
5 x3 =15
15 x 5 = 75
75 x 7 = 525
525 x 9 = 4725
Hence, the answer is 5
Question 60 |
344 | |
2401 | |
347 | |
1221 |
7+1 = 8
7*7= 49
49+1= 50
8*7= 56
56+1= 57
49*7 = 343
343+1 = 344
Question 61 |
90 | |
86 | |
84 | |
176 |
88-2 = 86
Question 62 |
6 | |
5.8 | |
5.5 | |
5.2 |
0.9 is added to each number
4.9+0.9 = 5.8
Question 63 |
46 | |
38 | |
44 | |
42 |
Question 64 |
17 | |
15 | |
13 | |
11 |
19, 17,15,13,11...
17 is present between all numbers
So the next number in the series is 17
Question 65 |
4 | |
8 | |
6 | |
5 |
The next number is added by 2
6+2 = 8
Question 66 |
70 | |
80 | |
75 | |
88 |
8+7
15+9
21+11
............
63+17 = 80
Question 67 |
-5 | |
6 | |
10 | |
9 |
It can also be taken as the combination of the two series
5, 6,7,8,9, and
4, 3,2,1,0...
Question 68 |
5 | |
4 | |
2 | |
1 |
Question 69 |
8 | |
64 | |
49 | |
81 |
Question 70 |
43 | |
42 | |
45 | |
44 |
2, 3, 5,7,11
The next prime number is 13
30+13 = 43
Question 71 |
(1/3) | |
(1/8) | |
(2/8) | |
(1/16) |
In other term to say, the number is divided by 2 successively to get next result
4/2 = 2
2/2 = 1
½ = ½
(1/2)/2 = ¼
(1/4)/2 = 1/8 and so on
Question 72 |
7 | |
10 | |
12 | |
13 |
Question 73 |
20 | |
22 | |
23 | |
26 |
First, 2 is subtracted then 4, then 2 and so on
Question 74 |
12 | |
14 | |
27 | |
53 |
Question 75 |
7 | |
8 | |
12 | |
13 |
60/2=30 & 30-2=28
28/2=14 & 14- 2=12
Question 76 |
2 | |
3 | |
4 | |
cannot be determined |
=1/ (1-1/2) =2
Question 77 |
20 | |
25 | |
30 | |
50 |
Question 78 |
108 | |
148 | |
162 | |
216 |
Question 79 |
4.2 | |
4.4 | |
4.7 | |
5.1 |
Question 80 |
52 | |
56 | |
96 | |
128 |
First, multiply by 2 and then subtract 8
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