Directions:(1-5) Find the wrong term in the series given below.

1. 21, 77, 211, 391, 697, 1077

Ans: 4
The pattern adds the number to product of a prime number and the number following it:
21 + 7 x 8 = 77
77 + 11 x 12 = 209
209 + 13 x 14 = 391
391 + 17 x 18 = 697
697 + 19 x 20 = 1077

 

2. 70, 132, 224, 354, 522

Ans: 2
The pattern is as follows:
43 + 6 = 70
53 + 7 = 132
63 + 8 = 224
73 + 9 = 352
83 + 10 = 522

 

3. 176, 218, 234, 258, 340, 410

Ans: 2
The series adds the product of the digits to the previous number:
176 + 42 = 218
218 + 16 = 234
234 + 24 = 258
258 + 80 = 338
338 + 72 = 410

 

4. 14442, 5838, 2202, 800, 282, 98

Ans: 5
The pattern is shown below:
14442/3 + 45 = 5838
5838/3 + 44 = 2202
2202/3 + 43 = 798
798/3 + 42 = 282
282/3 + 41 = 98

 

5. 11.8, 12.6, 13.4, 14.3, 14.8

Ans: 3
The pattern is shown below:
√140= 11.8
√160= 12.6
√180= 13.4
√200= 14.1
√220= 14.8

 

Directions:(6-10) Find the wrong term in the series given below.

6. 211, 213, 219, 237, 281, 405

Ans: 4
The next term is obtained by adding the number to the product of its digits.
211 + 2 = 213
213 + 6 = 219
219 + 18 = 237
237 + 42 = 279
279 + 126 = 405

 

7. 30, 39.0, 50.7, 67.91, 85.683, 111.3879

Ans: 2
The pattern is as follows:
30 x 1.3 = 39.0
39.0 x 1.3 = 50.7
50.7 x 1.3 = 65.91
65.91 x 1.3 = 85.683
85.683 x 1.3 = 111.3879

 

8. 77, 303, 475, 595, 677, 727

Ans: 4
The pattern is as follows:
77 + 152 + 1 = 303
303 + 132 + 1 = 473
473 + 112 + 1 = 595
595 + 92 + 1 = 677
677 + 72 + 1 = 727

 

9. 76, 140, 110, 124, 116, 120

Ans: 1
From the 3rd number, each successive term is average of previous 2 terms:
(76 + 140)/2 = 108
(140 + 108)/2 = 124
(108 + 124)/2 = 116
(124 + 116)/2 = 120

 

10. 77, 126, 164, 166, 202, 206

Ans: 3
The next term is obtained by adding the number to the square of the last digit of the previous number.
77 + 72 = 126
126 + 62 = 162
162 + 22 = 166
166 + 62 = 202
202 + 22 = 206

 

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