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Directions to Solve
In this type of questions, one term in the number series is wrong. Find out the wrong term.
Question -
6, 15, 35, 77, 165, 221
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The terms of the series are products of two consecutive prime numbers i.e. (2 x 3),
(3 x 5), (5 x 7), (7 x 11),.....
So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.
121, 143, 165, 186, 209
Each term in the series is obtained by adding 22 to the preceding term.
So, 186 is wrong and must be replaced by (165 + 22) i.e. 187.
8, 13, 21, 32, 47, 63, 83
The correct pattern is + 5, + 8, + 11, + 14,.....
So, 47 is wrong and must be replaced by (32 + 14) i.e. 46.
3, 4, 10, 32, 136, 685, 4116
The correct pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,.....
So, 32 is wrong and must be replaced by (10 x 3 + 3) i.e. 33.
1, 2, 4, 8, 16, 32, 64, 96
Each term of the series is obtained by multiplying the preceding term by 2.
So, 96 is wrong and must be replaced by (64 x 2) i.e. 128.
105, 85, 60, 30, 0, - 45, - 90
The correct pattern is - 20, - 25, - 30,.....
So, 0 is wrong and must be replaced by (30 - 35) i.e. - 5.
2, 5, 10, 17, 26, 37, 50, 64
The terms of the series are (12 + 1), (22 + 1), (32 + 1), (42 + 1), (52 + 1), (62 + 1),
(72+1),.....
So, 64 is wrong and must be replaced by (82 + 1) i.e. 65.
125, 126, 124, 127, 123, 129
The correct pattern is + 1, - 2, + 3, - 4, + 5.
So, 129 is wrong and must be replaced by (123 + 5) i.e. 128.
1,3,12,25,48
The terms of the series are (l2 - 02), (22 - l2), (42 - 22), (62 - 32) and (82 - 42).
So, 25 is wrong and must be replaced by (62 - 32) i.e. 27.
2, 5, 10, 50, 500, 5000
Each term of the series is the product of the preceding two terms.
So, 5000 is wrong and must be replaced by (50 x 500) i.e. 25000.
15, 16, 22, 29, 45, 70
The correct pattern is + 1, + 4, + 9, + 16, + 25 i.e. + 12, + 22, + 32, + 42, + 52.
So, 22 is wrong and must be replaced by (16 + 4) i.e. 20.
8, 14, 26, 48, 98, 194, 386
The correct pattern is x 2 - 2.
So, 48 is wrong and must be replaced by (26 x 2 - 2) i.e. 50.
3, 10, 27, 4, 16, 64, 5, 25, 125
The correct sequence is 3, 32, 33, 4, 42, 43, 5, 52, 53.
So, 10 is wrong and must be replaced by 32 i.e. 9.
4, 10, 22, 46, 96, 190, 382
The correct pattern is + 6, + 12, + 24, + 48, + 96, + 192.
So, 96 is wrong and must be replaced by (46 + 48) i.e. 94.
1, 5, 9, 15, 25, 37, 49
The terms of the given series are 12, (22 + 1), 32, (42..+ 1), 52, (62 + 1), 72.
So, 15 is wrong and must be replaced by (42 + 1) i.e. 17.
2, 6, 24, 96, 285, 568, 567
The correct pattern is x 6 - 6, x 5 - 5, x 4 - 4,.....
So, 24 is wrong and must be replaced by (6 x 5 - 5) i.e. 25.
3, 2, 8, 9, 13, 22, 18, 32, 23, 42
The given sequence is a combination of two series:
I. 3, 8, 13, 18, 23 and II. 2, 9, 22, 32, 42
The pattern in I is + 5, and the pattern in II is + 10. So, in II, 9 is wrong and must be replaced by (2 + 10) i.e. 12.
196, 169, 144, 121, 101
The sequence is (14)2, (13)2, (12)2, (11)2, (10)2.
So, 101 is wrong and must be replaced by (10)2 i.e. 100.
56, 58, 62, 70, 84, 118, 182
The correct pattern is + 2, + 4, + 8, + 16, + 32, + 64 i.e. + 2, + 22, + 23, + 24, + 25, + 26.
So, 84 is wrong and must be replaced by (70 + 16) i.e. 86.
1, 5, 5, 9, 7, 11, 11, 15, 12, 17
I. 1, 5, 7, 11, 12 and II. 5, 9, 11, 15, 17
The pattern in both I and II is + 4, + 2, + 4, + 2. So, 12 is wrong and must be replaced by (11 + 2) i.e. 13.
25, 36, 49, 81, 121, 169, 225
The correct sequence is 52, 72, 92, 112, 132, 152. So, 36 is wrong.
1, 3, 10, 21, 64, 129, 356, 777
The correct pattern is x 2 + 1, x 3 + 1, x 2 + 1, x 3 + 1,.....
So, 356 is wrong and must be replaced by (129 x 3 + 1) i.e. 388.
5, 10, 40, 80, 320, 550, 2560
The correct pattern is x 2, x 4, x 2, x 4, .....
So, 550 is wrong and must be replaced by (320 x 2) i.e. 640.
2, 3, 4, 4, 6, 8, 9, 12, 16
The given sequence is a combination of three series:
I. 1st, 4th, 7th terms i.e. 2, 4, 9,.....
II. 2nd, 5th, 8th terms i.e. 3, 6, 12,.....
III. 3rd, 6th, 9th terms i.e. 4, 8, 16,.....
In each one of I, II and III, each term is twice the preceding term. So, 9 is wrong and must be replaced by (4 x 2) i.e. 8.
11, 5, 20, 12, 40, 26, 74, 54
The given sequence is a combination of two series :
I. 11, 20, 40, 74 and II. 5, 12, 26, 54
The correct pattern in I is + 9, + 18, + 36,.....
So, 40 is wrong and must be replaced by (20 + 18) i.e. 38.
5, 27, 61, 122, 213, 340, 509
The terms of the series are (23 - 3), (33 - 3), (43 - 3), (53 - 3), (63 - 3), (73 - 3),
(83-3).
So, 27 is wrong and must be replaced (33 - 3) i.e. 24.
3, 7, 15, 39, 63, 127, 255, 511
The correct pattern is x 2 + 1.
So, 39 is wrong and must be replaced by (15 x 2 + 1) i.e. 31.
380, 188, 92, 48, 20, 8, 2
The correct pattern is - 192, - 96, - 48, - 24, - 12, - 6.
So, 48 is wrong and must be replaced by (92 - 48) i.e. 44.
16, 22, 30, 45, 52, 66
The correct pattern is + 6, + 8, + 10, + 12, + 14.
So, 45 is wrong and must be replaced by (30 + 10) i.e. 40.
10, 26, 74, 218, 654, 1946, 5834
The correct pattern is x 3 - 4.
So, 654 is wrong and must be replaced by (218 x 3 - 4) i.e. 650.
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