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Number Series Questions
101. Find the missing number.
1000, 501, 170, 47.5, ?
1000, 501, 170, 47.5, ?










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Correct Ans:16.5
Explanation:
The pattern is,
(1000/2) + 1 = 501
(501/3) + 3 = 170
(170/4) + 5 = 47.5
(47.5/5) + 7 = 16.5
16.5 is the required number.
(1000/2) + 1 = 501
(501/3) + 3 = 170
(170/4) + 5 = 47.5
(47.5/5) + 7 = 16.5
16.5 is the required number.
Workspace
102. Find the missing number.
6, 4, 5, 11, ?, 189
6, 4, 5, 11, ?, 189










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Correct Ans:39
Explanation:
The pattern is,
(6*1) - 2 = 4
(4*2) - 3 = 5
(5*3) - 4 = 11
(11*4) - 5 = 39
(39*5) - 6 = 189
39 is the required number.
(6*1) - 2 = 4
(4*2) - 3 = 5
(5*3) - 4 = 11
(11*4) - 5 = 39
(39*5) - 6 = 189
39 is the required number.
Workspace
103. Find the missing number.
18, 27, 9, 36, 0, ?
18, 27, 9, 36, 0, ?










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Correct Ans:45
Explanation:
The pattern is,
18 + (9 * 1) = 27
27 - (9 * 2) = 9
9 + (9 * 3) = 36
36 - (9 * 4) = 0
0 + (9 * 5) = 45
45 is the required number.
18 + (9 * 1) = 27
27 - (9 * 2) = 9
9 + (9 * 3) = 36
36 - (9 * 4) = 0
0 + (9 * 5) = 45
45 is the required number.
Workspace
104. Find the missing number.
9, 12, 19, 34, 65, ?
9, 12, 19, 34, 65, ?










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Correct Ans:128
Explanation:
Pattern:
22 + 5 = 9
23 + 4 = 12
24 + 3 = 19
25 + 2 = 34
26 + 1 = 65
27 + 0 = 128
Hence, the missing number is 128.
22 + 5 = 9
23 + 4 = 12
24 + 3 = 19
25 + 2 = 34
26 + 1 = 65
27 + 0 = 128
Hence, the missing number is 128.
Workspace
105. Find the missing number.
5, 15, 33, 57, 85, ?
5, 15, 33, 57, 85, ?










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Correct Ans:115
Explanation:
Pattern:
5
5 + (10*1) = 15
15 + (9*2) = 33
33 + (8*3) = 57
57 + (7*4) = 85
85 + (6*5) = 115
Hence, the missing number is 115.
5
5 + (10*1) = 15
15 + (9*2) = 33
33 + (8*3) = 57
57 + (7*4) = 85
85 + (6*5) = 115
Hence, the missing number is 115.
Workspace
106. Find the missing number.
1, 6, 36, 240, 1960, ?
1, 6, 36, 240, 1960, ?










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Correct Ans:19660
Explanation:
Pattern:
(1*2) + (2*2) = 6
(6*4) + (3*4) = 36
(36*6) + (4*6) = 240
(240*8) + (5*8) = 1960
(1960*10) + (6*10) = 19660
Hence, the missing number is 19660.
(1*2) + (2*2) = 6
(6*4) + (3*4) = 36
(36*6) + (4*6) = 240
(240*8) + (5*8) = 1960
(1960*10) + (6*10) = 19660
Hence, the missing number is 19660.
Workspace
107. Find the missing number.
17, 22, 33, 42, 61, ?
17, 22, 33, 42, 61, ?










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Correct Ans:74
Explanation:
Pattern:
17
17 + 3*2 – 1 = 22
22 + 3*3 + 2 = 33
33 + 3*4 – 3 = 42
42 + 3*5 + 4 = 61
61 + 3*6 – 5 = 74
Hence, the missing number is 74.
17
17 + 3*2 – 1 = 22
22 + 3*3 + 2 = 33
33 + 3*4 – 3 = 42
42 + 3*5 + 4 = 61
61 + 3*6 – 5 = 74
Hence, the missing number is 74.
Workspace
108. Find the missing number.
1953.125,781.25, 312.5, 125, ?, 20
1953.125,781.25, 312.5, 125, ?, 20










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Correct Ans:50
Explanation:
The pattern is,
1953.125/2.5 = 781.25
781.25/2.5 = 312.5
312.5/2.5 = 125
125/2.5 = 50
50/2.5 = 20
50 is the required answer.
1953.125/2.5 = 781.25
781.25/2.5 = 312.5
312.5/2.5 = 125
125/2.5 = 50
50/2.5 = 20
50 is the required answer.
Workspace
109. Find the missing number.
4, 18, 48, 100, 180, 294, ?
4, 18, 48, 100, 180, 294, ?










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Correct Ans:448
Explanation:
The pattern is,
4 = 2*2
18 = 3*6
48 = 4*12
100 = 5*20
180 = 6*30
294 = 7*42
448 = 8*56
448 is the required answer.
4 = 2*2
18 = 3*6
48 = 4*12
100 = 5*20
180 = 6*30
294 = 7*42
448 = 8*56
448 is the required answer.
Workspace
110. Find the missing number.
7, 9, 19, 45, 95, ?
7, 9, 19, 45, 95, ?










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Correct Ans:177
Explanation:
The pattern is,
7 + (12 + 1) = 9
9 + (32 + 1) = 19
19 + (52 + 1) = 45
45 + (72 + 1) = 95
95 + (92 + 1) = 177
177 is the required answer.
7 + (12 + 1) = 9
9 + (32 + 1) = 19
19 + (52 + 1) = 45
45 + (72 + 1) = 95
95 + (92 + 1) = 177
177 is the required answer.
Workspace
111. What should come in place of question mark in the following series?
126, 247, 416, 641, ?, 1291
126, 247, 416, 641, ?, 1291










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Correct Ans:930
Explanation:
The pattern followed is:
126
126 + 112 = 247
247 + 132 = 416
416 + 152 = 641
641 + 172 = 930
930 + 192 = 1291
126
126 + 112 = 247
247 + 132 = 416
416 + 152 = 641
641 + 172 = 930
930 + 192 = 1291
Workspace
112. Find the missing number.
2, 12, 36, 80, ?
2, 12, 36, 80, ?










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Correct Ans:150
Explanation:
The pattern is,
13 + 12 = 1 + 1 = 2
23 + 22 = 8 + 4 = 12
33 + 32 = 27 + 9 = 36
43 + 42 = 64 + 16 = 80
53 + 52 = 125 + 25 = 150
Hence, 150 is the required answer.
13 + 12 = 1 + 1 = 2
23 + 22 = 8 + 4 = 12
33 + 32 = 27 + 9 = 36
43 + 42 = 64 + 16 = 80
53 + 52 = 125 + 25 = 150
Hence, 150 is the required answer.
Workspace
113. Find the missing number.
21, ?, 39, 183, 327
21, ?, 39, 183, 327










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Correct Ans:30
Explanation:
The pattern is,
21 + (2 + 1)2 = 30
30 + (3 + 0)2 = 39
39 + (3 + 9)2 = 183
183 + (1 + 8 + 3)2 = 327
Hence, 30 is the required answer.
21 + (2 + 1)2 = 30
30 + (3 + 0)2 = 39
39 + (3 + 9)2 = 183
183 + (1 + 8 + 3)2 = 327
Hence, 30 is the required answer.
Workspace
114. Find the missing number.
32, 48, 24, 36, 18, ?
32, 48, 24, 36, 18, ?










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Correct Ans:27
Explanation:
The pattern is,
32 × 1.5 = 48
48 ÷ 2 = 24
24 × 1.5 = 36
36 ÷ 2 = 18
18 × 1.5 = 27
Hence, 27 is the required answer.
32 × 1.5 = 48
48 ÷ 2 = 24
24 × 1.5 = 36
36 ÷ 2 = 18
18 × 1.5 = 27
Hence, 27 is the required answer.
Workspace
115. 2, 12, 36, 80, 150, ?










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Correct Ans:252
Explanation:
Pattern: It is of the form (n3 + n2)
13 + 12 = 2
23 + 22 = 12
33 + 32 = 36
43 + 42 = 80
53 + 52 = 150
63 + 62 = 252
13 + 12 = 2
23 + 22 = 12
33 + 32 = 36
43 + 42 = 80
53 + 52 = 150
63 + 62 = 252
Workspace
116. Find the missing number.
420, 462, 506, 552, 600, 650, ?
420, 462, 506, 552, 600, 650, ?










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Correct Ans:702
Explanation:
The pattern is :
20*21 = 420
21*22 = 462
22*23 = 506
23*24 = 552
24*25 = 600
25*26 = 650
26*27 = 702
20*21 = 420
21*22 = 462
22*23 = 506
23*24 = 552
24*25 = 600
25*26 = 650
26*27 = 702
Workspace
117. Find the missing number.
4, 6, 15, 49, 201, 1011, ?
4, 6, 15, 49, 201, 1011, ?










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Correct Ans:6073
Explanation:
The pattern is:
(4*1) + 2 = 6
(6*2) + 3 = 15
(15*3) + 4 = 49
(49*4) + 5 = 201
(201*5) + 6 = 1011
(1011*6) + 7 = 6073
(4*1) + 2 = 6
(6*2) + 3 = 15
(15*3) + 4 = 49
(49*4) + 5 = 201
(201*5) + 6 = 1011
(1011*6) + 7 = 6073
Workspace
118. Find the missing number.
126, 64, ?, 20, 14, 12
126, 64, ?, 20, 14, 12










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Correct Ans:34
Explanation:
The pattern is,
126/2 + 1 = 64
64/2 + 2 = 34
34/2 + 3 = 20
20/2 + 4 = 14
14/2 + 5 = 12
126/2 + 1 = 64
64/2 + 2 = 34
34/2 + 3 = 20
20/2 + 4 = 14
14/2 + 5 = 12
Workspace
119. Find the missing number.
17, 9, ?, 16.5, 35, 90
17, 9, ?, 16.5, 35, 90










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Correct Ans:10
Explanation:
The pattern is,
17*0.5 + 0.5 = 9
9*1 + 1 = 10
10*1.5 + 1.5 = 16.5
16.5*2 + 2 = 35
35*2.5 + 2.5 = 90
17*0.5 + 0.5 = 9
9*1 + 1 = 10
10*1.5 + 1.5 = 16.5
16.5*2 + 2 = 35
35*2.5 + 2.5 = 90
Workspace
120. What will come in place of the question mark (?) in the following number series?
6, 16, 44, 126, 370, ?
6, 16, 44, 126, 370, ?










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Correct Ans:1100
Explanation:
Pattern:
6
(6*3) – 2 = 16
(16*3) – 4 = 44
(44*3) – 6 = 126
(126*3) – 8 = 370
(370*3) – 10 =1100.
6
(6*3) – 2 = 16
(16*3) – 4 = 44
(44*3) – 6 = 126
(126*3) – 8 = 370
(370*3) – 10 =1100.
Workspace
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