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

1. 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

 

2. 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

 

3. 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

 

4. 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

 

5. 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

 

Directions:(6-10) What should come in place of the question mark (?) in the following number series?

6. 20, 56, 110, 182, ?

Ans: 5
The pattern is 4×5, 7×8, 10×11, 13×14, 16×17

 

7. 5, 6, 14, 45, 184, ?

Ans: 4
The pattern is,
(5+1) X 1 = 6, (6+1) X 2 = 14, (14+1) X 3 = 45, (45+1) X 4 = 184, (184+1) X 5 = 925

 

8. 41, 45, 65, 95, 140, ?

Ans: 5
The next term of the series is generated by adding the product of the digits of the number to the number. For example,
41+4=45, 45+20=65, 65+30=95, 95+45=140
So the next term will be 140+0=140

 

9. 2744, 3375, 4096, 4913, 5832, ?

Ans: 2
The series is 143, 153, 163, 173, 183, 193.
Hence the next term is 6859

 

10. 7, 109, 194, 262, 313, ?

Ans: 2
The successive differences between the terms are 102, 85, 68, 51, 34.
Hence the next term will be 313+34 = 347

 

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