Directions:(1-5) Find the next term in the series.

1. 124, 160, 224, 324, 468, ?

Ans: 5
The pattern is as follows:
124 + 62 = 160
160 + 82 = 224
224 + 102 = 324
324 + 122 = 468
468 + 142 = 664

 

2. 169, 300, 523, 874, 1395, ?

Ans: 1
The pattern is as follows:
169 + 53 + 6 = 300
300 + 63 + 7 = 523
523 + 73 + 8 = 874
874 + 83 + 9 = 1395
1395 + 93 + 10 = 2134

 

3. 22, 26, 34, 41, 46, ?

Ans: 5
The next number is obtained by adding sum of digits of the previous number:
22 + 2 + 2 = 26
26 + 2 + 6 = 34
34 + 3 + 4 = 41
41 + 4 + 1 = 46
46 + 4 + 6 = 56

 

4. 28, 196, 1568, 14112, 141120, ?

Ans: 2
The pattern is as follows:
28 x 7 = 196
196 x 8 = 1568
1568 x 9 = 14112
14112 x 10 = 141120
141120 x 11 = 1552320

 

5. 36, 60, 132, 252, 420, ?

Ans: 1
The pattern is as follows:
36 + 24 x 1 = 60
60 + 24 x 3 = 132
132 + 24 x 5 = 252
252 + 24 x 7 = 420
420 + 24 x 9 = 636

 

Directions:(6-10) Find the wrong number in the series.

6. 23, 35, 63, 121, 211, 343

Ans: 3
23 + (3 x 4) = 35
35 + (5 x 6) = 65
65 + (7 x 8) = 121
121 + (9 x 10) = 211
211 + (11 x 12) = 343
Hence the wrong term is 63

 

7. 150, 290, 560, 1120, 2140, 4230, 8400

Ans: 3
150 x 2 – 10 = 290
290 x 2 – 20 = 560
560 x 2 – 30 = 1090
1090 x 2 – 40 = 2140
2140 x 2 – 50 = 4230
4230 x 2 – 60 = 8400
Wrong number 1120

 

8. 23 104 168 216 253 278 294

Ans: 4
The difference between the terms are 92, 82, 72, 62, 52 and 42.
168+49 = 217, 217+36 = 253
Hence 216 is the incorrect term.

 

9. 11, 22, 88, 1424, 18304, 292864

Ans: 3
11 x (1 + 1) = 22
22 x (2 + 2) = 88
88 x (8 + 8) = 1408
1408 x (1 + 4 + 0 + 8) = 18304
18304 x (1 + 8 + 3 + 0 + 4) = 292864
So 1424 is wrong which should be 1408

 

10. 17, 23, 24, 26, 31, 33

Ans: 1
The subsequent term of the series is obtained by adding the absolute difference of digits to the number.
17 + |1-7| = 23
23 + |2 – 3| = 24
24 + |2 – 4| = 26
26 + |2 6| = 30
30 + |3-0| = 33
So the answer is 31.

 

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