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Directions:(1-10) What should come in place of the question mark (?) in the following number series?
1. 5, 8, 16, 39, 107, ?
2. 41, 43, 71, 73, 109, 111, ?
3. 29, 36, 39, 45, 46, ?
4. 908, 868, 814, 744, 656, ?
5. 7, 5, 14, 20, 42, 120, 210, ?
6. 27, 76, 176, 345, 601, ?
7. 28376, 24281, 20908, 18167, 15974, ?
8. 31, 108, 612, 4832, 48220, ?
9. 44, 133, 667, 4672, 51396, ?
10. 7, 8, 33, 190, 1379, ?
Check your Answers below:
Directions:(1-5) What should come in place of the question mark (?) in the following number series?
1. Question
5, 8, 16, 39, 107, ?
Ans:4
The pattern is:5×3 – 7 = 8, 8×3 – 8 = 16, 16×3 – 9 = 39, 39×3 – 10 = 107, 107×3 – 11 = 310
2. Question
41, 43, 71, 73, 109, 111, ?
Ans:2
The series is 62+5, 72-6, 82+7, 92-8, 102+9, 112-10, 122+11Hence the next term is 144+11=155
3. Question
29, 36, 39, 45, 46, ?
Ans:1
The next term is obtained by adding the number to the difference of its digits.29+7=36, 36+3=39, 39+6=45, 45+1=46, 46+2=48
4. Question
908, 868, 814, 744, 656, ?
Ans:3
The pattern is:908 – (8×5) = 868, 868 – (9×6) = 814, 814 – (10×7) = 744, 744 – (11×8) = 656.
So the next term is 656 – (12×9) = 548
5. Question
7, 5, 14, 20, 42, 120, 210, ?
Ans:3
The odd terms are multiplied by 2, 3, 5 successively (prime no.s) while the even terms are multiplied by 4, 6, 8 successively (composite no.s).7*2 = 14 (3rd term)
5*4 = 20 (4th term)
14*3 = 42 (5th term)
20*6 = 120 (6th term)
42*5 = 210 (7th term)
120*8 = 960 (8th term)
6. Question
27, 76, 176, 345, 601, ?
Ans:5
The pattern is as follows:27 + 72 = 76
76 + 102 = 176
176 + 132 = 345
345 + 162 = 601
601 + 192 = 962
7. Question
28376, 24281, 20908, 18167, 15974, ?
Ans:1
The pattern is as follows:28376 – 163 + 1 = 24281
24281 – 153 + 2 = 20908
20908 – 143 + 3 = 18167
18167 – 133 + 4 = 15974
15974 – 123 + 5 = 14251
8. Question
31, 108, 612, 4832, 48220, ?
Ans:5
The pattern is as follows:(31 – 4) x 4 = 108
(108 – 6) x 6 = 612
(612 – 8) x 8 = 4832
(4832 – 10) x 10 = 48220
(48220 – 12) x 12 = 578496
9. Question
44, 133, 667, 4672, 51396, ?
Ans:4
The pattern multiplies with prime numbers to the previous term and adds an increasing constant as show below:44 x 3 + 1 = 133
133 x 5 + 2 = 667
667 x 7 + 3 = 4672
4672 x 11 + 4 = 51396
51396 x 13 + 5 = 668153
10. Question
7, 8, 33, 190, 1379, ?
Ans:2
The pattern is as follows:(7 x 1) + 12 = 8
(8 x 3) + 32 = 33
(33 x 5) + 52 = 190
(190 x 7) + 72 = 1379
(1379 x 9) + 92 = 12492