Hard Number Series Questions Solution Competitive Exams Set 11

Advanced 467 Reasoning Puzzles Book IBPS PO

Number Series Questions

Nowadays, almost in all competitive exams sequence questions and answers are asked and especially in Bank Recruitment Exams.

Most Bank PO Exams including IBPS PO, SBI PO, and other exams ask 5-10 questions from Number Series like find the next number in the series. It is very important to practice difficult number series questions, as they can generally be solved in short span of time with high accuracy. If you learn that 
how to solve number series problems quickly you may easily get 5 to 10 marks. Today, we have 20 difficult number series questions to help you practice Number Series. As usual, answers and solution are following the questions.


Following are some Number Series questions which are likely to be asked/ already asked in competitive exams, while practicing you may learn 
shortcuts to solve number series problems and series questions tricks. Following  Number Series questions will help you securing good marks in upcoming SBI PO, SBI Clerk, IBPS PO­, IBPS Clerk­, IBPS RRB Exams in 2017 2018.

Toughest Number Series Questions and Answers

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 
Number Series Questions Answers IBPS SBI SSC UPSC RRB(2) 214
(3) 218 
(4) 416
(5) None of these

Number Series Solutions
1. (2) 
2= 8
3= 27
4= 64
5= 125
6= 216  218
7= 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 = 38
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