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Saturday, September 16, 2017

High Level Number Series: Quiz


Dear Reader's

Directions (1-2): In the following number series only one number is wrong. Find out the wrong number.

1. 8 27 64 125 218 343
(1) 27 
(2) 218
(3) 125 
(4) 343
(5) None of these

2. 19 68 102 129 145 154
(1) 154 
(2) 129
(3) 145 
(4) 102
(5) None of these

Directions (3-7): What should come in place of the question mark (?) in the following number series?

3. 0 5 18 43 84 145 ?
(1) 220 
(2) 240
(3) 260 
(4) 280
(5) None of these

4. 10 17 48 165 688 3475 ?
(1) 27584 
(2) 25670
(3) 21369 
(4) 20892
(5) None of these

5. 1 3 24 360 8640 302400 ?
(1) 14525100 
(2) 154152000
(3) 14515200 
(4) 15425100
(5) None of these

6. 12 14 32 102 416 2090 ?
(1) 15522 
(2) 12552
(3) 13525 
(4) 17552
(5) None of these

7. 10 15 15 12.5 9.375 6.5625 ?
(1) 4.375 
(2) 3.2375
(3) 4.6275 
(4) 3.575
(5) None of these

Directions (8-12) : What will come in place of the question mark (?) in each of the following series?

8. 17 52 158 477 ? 4310
(1) 1433 
(2) 1432
(3) 1435 
(4) 1434
(5) None of these

9. 3 22 ? 673 2696 8093
(1) 133 
(2) 155
(3) 156 
(4) 134
(5) None of these

10. 6 13 38 ? 532 2675
(1) 129 
(2) 123
(3) 172 
(4) 164
(5) None of these

11. 286 142 ? 34 16 7
(1) 66 
(2) 72
(3) 64 
(4) 74
(5) None of these

12. 17 9 ? 16.5 35 90
(1) 5 
(2) 15
(3) 10 
(4) 20
(5) None of these

Directions (13-17): What will come in place of the question mark (?) in each of the following series?

13. 2 8 26 ? 242
(1) 78 
(2) 72
(3) 82 
(4) 84
(5) None of these

14. 3 4 12 ? 196
(1) 45 
(2) 40
(3) 41 
(4) 49
(5) None of these

15. 9 17 ? 65 129
(1) 32 
(2) 24
(3) 35 
(4) 33
(5) None of these

16. 7 13 ? 49 97
(1) 27 
(2) 25
(3) 23 
(4) 29
(5) None of these

17. 5 3 6 ? 64.75
(1) 15 
(2) 15.5
(3) 17.5 
(4) 17.25
(5) None of these

Directions (18-20) : What will come in place of the question mark (?) in each of the following number series?

18. 16 8 12 30 ?
(1) 75 
(2) 105
(3) 95 
(4) 115
(5) None of these

19. 5 6 14 45 ?
(1) 138 
(2) 154
(3) 118 
(4) 184
(5) None of these

20. 7 12 32 105 ?
(1) 428
(2) 214
(3) 218 
(4) 416
(5) None of these


Solution:


1. (2) 
23 = 8
33 = 27
43 = 64
53 = 125
63 = 216 ≠ 218
73 = 343

2. (4) 
19 + 7² = 19 + 49 = 68
68 + 6² = 68 + 36 = 104 ≠ 102
104 + 5² = 104 + 25 = 129
129 + 4² = 129 + 16 = 145
145 + 3² = 145 + 9 = 154

3. (5)
0 + 5 = 5
5 + 13 = 18
18 + 25 = 43
43 + 41 = 84
84 + 61 = 145
? = 145 + 85 = 230

4. (4) 
10 × 1 + 1 × 7 = 10 + 7 = 17
17 × 2 + 2 × 7 = 34 + 14 = 48
48 × 3 + 3 × 7 = 144 + 21 = 165
165 × 4 + 4 × 7 = 660 + 28 = 688
688 × 5 + 5 × 7 = 3440 + 35 = 3475
? = 3475 × 6 + 6 × 7
= 20850 + 42 = 20892

5. (3) 
1 × 3 = 3
3 × 8 = 24
24 × 15 = 360
360 × 24 = 8640
8640 × 35 = 302400
? = 302400 × 48
= 14515200

6. (2) 
12 × 1 + 2 × 1 = 12 + 2 = 14
14 × 2 + 2 × 2 = 28 + 4 = 32
32 × 3 + 2 × 3 = 96 + 6 = 102
102 × 4 + 2 × 4 = 408 + 8 = 416
416 × 5 + 2 × 5 = 2080 + 10 = 2090
? = 2090 × 6 + 2 × 6
= 12540 + 12 = 12552

7. (1) 
10 × 3/2 = 15
15 × 4/4 = 15
15 × 5/6 = 12.5
12.5 × 6/8 = 9.375
9.375 × 7/10 = 6.5625
? = 6.5625 × 8/12 = 4.375

8. (3) 
The pattern of the number series is :
17 × 3 + 1 = 51 + 1 = 52
52 × 3 + 2 = 156 + 2 = 158
158 × 3 + 3 = 474 + 3 = 477
477 × 3 + 4 = 1431 + 4 = 1435

9. (4) 
The pattern of the number series is :
3 × 7 + 1 = 21 + 1= 22
22 × 6 + 2 = 132 + 2 = 134
134 × 5 + 3 = 670 + 3 = 673
673 × 4 + 4 = 2692 + 4 = 2696

10. (1) 
The pattern of the number series is :
6 × 1 + 1 × 7 = 6 + 7 = 13
13 × 2 + 2 × 6 = 26 + 12 = 38a
38 × 3 + 3 × 5 = 114 + 15 = 129
129 × 4 + 4 × 4 = 516 + 16 = 532

11. (5)
The pattern of the number series is :
286/2 - 1 = 143 - 1 = 142
142/2 - l = 71 - l = 70
70/2 - 1 = 35 - 1 = 34
34/2 - 1 = 17- 1 = 16

12. (3) 
The pattern of the number series is :
17 × 0.5 + 0.5 = 9
9 × 1 + 1 = 10
10 × 1.5 + 1.5 = 16.5
16.5 × 2 + 2 = 35

13. (5) 
The pattern is :
2 × 3 + 2 = 6 + 2 = 8
8 × 3 + 2 = 24 + 2 = 26
26 × 3 + 2 = 78 + 2 = 80
80 × 3 + 2 = 240 + 2 = 242

14. (1) 
The pattern is :
3 × 1 + 1² = 3 + 1 = 4
4 × 2 + 2² = 8 + 4= 12
12 × 3 + 3² = 36 + 9 = 45
45 × 4 + 4² = 180 + 16 = 196

15. (4) 
The pattern is :
9 × 2 - 1 = 18 - 1 = 17
17 × 2 - 1 = 34 - 1 = 33
33 × 2 - 1 = 66 - 1 = 65
65 × 2 - 1 = 130 - 1 = 129

16. (2) 
The pattern is :
7 × 2 - 1 = 14 - 1 = 13
13 × 2 - 1 = 26 - 1 = 25
25 × 2 - 1 = 50 - 1 = 49
49 × 2 - 1 = 98 - 1 = 97

17. (3) 
The pattern is :
5 × 0.5 + 0.5 = 2.5 + 0.5 = 3
3 × 1.5 + 1.5 = 4.5 + 1.5 = 6
6 × 2.5 + 2.5 = 15 + 2.5 = 17.5
17.5 × 3.5 + 3.5 = 61.25 + 3.5 = 64.75

18. (2) The pattern is :
16 × 0.5 = 8 
8 × 1.5 = 12
12 × 2.5 = 30 
30 × 3.5 = 105

19. (4) The pattern is :
5 × 1 + 1 = 6
6 × 2 + 2 = 14
14 × 3 + 3 = 45
45 × 4 + 4 = 184

20. (1) The pattern is :
7 ×1 + 1 × 5 = 12
12 × 2 + 2 × 4 = 32
32 × 3 + 3 × 3 = 105
105 × 4 + 4 × 2 = 428

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