Number Series Questions With Solution IBPS PO 2017 - Set 10

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.

Number Series Test

Directions (1 - 2): In each of the following questions a number series is given which has only one wrong number. You have to find out the wrong number.

1. 66 91 120 153 190 233 276
(1) 120 
(2) 233
(3) 153 
(4) 276
(5) 190

2. 1331 2197 3375 4914 6859 9261 12167
(1) 4914 
(2) 6859
(3) 9261
(4) 2197
(5) 12167

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

3. 20 24 33 49 74 110 ?
(1) 133 
(2) 147
(3) 159 
(4) 163
(5) 171

4. 529 841 961 1369 1681 1849 ?
(1) 2809 
(2) 2601
(3) 3249 
(4) 3481
(5) 2209

5. 16 24 48 120 360 1260 ?
(1) 3780 
(2) 4725
(3) 5355 
(4) 5040
(5) 4410

6. 8 31 122 485 1936 7739 ?
(1) 30950 
(2) 46430
(3) 34650 
(4) 42850
(5) 38540

7. 499 622 868 1237 1729 2344 ?
(1) 3205 
(2) 3082
(3) 2959 
(4) 3462
(5) 2876

Directions ( 8 - 12): In the following number series only one number is wrong. Find out the wrong number.

8. 1 4 27 256 3125 46658
(1) 46658 
(2) 4
(3) 27 
(4) 3125
(5) None of these

9. 18000 3600 720 142.2 28.8 5.76
(1) 28.8 
(2) 3600
(3) 5.76 
(4) 142.2
(5) None of these

10. 12 237 406 527 604 657
(1) 237 
(2) 406
(3) 527 
(4) 657
(5) None of these

11. 3 35 226 1160 4660 13998
(1) 13998 
(2) 4660
(3) 226 
(4) 1160
(5) None of these

12. 18 119 708 3534 14136 42405
(1) 708 
(2) 3534
(3) 14136 
(4) 42405
(5) None of these

Directions (13 - 17): Find the next number in the series. What should come in place of question mark (?) in the following number series?

13. 5 9 18 34 59 95 ?
(1) 272 
(2) 168
(3) 116 
(4) 148
(5) 144

14. 1200 480 192 76.8 30.72 12.288 ?
(1) 4.9152 
(2) 5.8192
(3) 6.7112 
(4) 7.6132
(5) 8.5172

15. 963 927 855 747 603 423 ?
(1) 209 
(2) 208
(3) 207 
(4) 206
(5) 205

16. 841 961 1089 1225 1369 1521 ?
(1) 1581 
(2) 1681
(3) 1781
(4) 1881
(5) 1981

17. 18 20 44 138 560 2810 ?
(1) 16818
(2) 16836
(3) 16854 
(4) 16872
(5) 16890

Directions (18 - 20): In the following number series only one number is wrong. Find out the wrong number.

18. 4 6 18 49 201 1011
(1) 1011 
(2) 201
(3) 18 
(4) 49
(5) None of these

19. 48 72 108 162 243 366
(1) 72 
(2) 108
(3) 162 
(4) 243
(5) None of these

20. 2 54 300 1220 3674 7350
(1) 3674 
Number Series Questions Answers IBPS SBI SSC UPSC RRB(2) 1220
(3) 300 
(4) 54
(5) None of these

Number Series Solutions

1. (2) The given number series is based on the following pattern :
66 + 25 = 91
91 + 29 = 120
120 + 33 = 153
153 + 37 = 190
190 + 41 = 231  233
231 + 45 = 276
Clearly, 233 is the wrong number. It should be replaced by 231.

2. (1) The given number series is based on the following pattern :
11 × 11 × 11 = 1331
13 × 13 × 13 = 2197
15 × 15 × 15 = 3375
17 × 17 × 17 = 4913  4914
19 × 19 × 19 = 6859
Clearly, 4914 is the wrong number. It should be replaced by 4913.

3. (3) The given number series is based on the following pattern :
20 + 2² = 24
24 + 3² = 33
33 +42² = 49
49 + 5² = 74
74 + 6² = 110
? = 110 + 7² = 110 + 49 = 159

4. (5) The given number series is based on the following pattern :
529 = 23 × 23
841 = 29 × 29
961 = 31 × 31
1369 = 37 × 37
1681 = 41 × 41
1849 = 43 × 43
? = 47 × 47 = 2209
Here, the numbers are formed by squaring the prime numbers greater than 23.

5. (4) The given number series is based on the following pattern :
16 × 1.5 = 24
24 × 2 = 48
48 × 2.5 = 120
120 × 3 = 360
360 × 3.5 = 1260
? = 1260 × 4 = 5040

6. (1) The given number series is based on the following pattern :
8 × 4 - 1= 32 - 1 = 31
31 × 4 - 2 = 124 - 2 = 122
122 × 4 - 3 = 488 - 3 = 485
485 × 4 - 4 = 1940 - 4 = 1936
1936 × 4 - 5 = 7744 - 5 = 7739
? = 7739 × 4 - 6 = 30956 - 6 = 30950

7. (2) The given number series is based on the following pattern :
499 + 1 × 123 = 622
622 + 2 × 123 = 868
868 + 3 × 123 = 1237
1237 + 4 × 123 = 1729
1729 + 5 × 123 = 2344
? = 2344 + 6 × 123 = 2344 + 738 = 3082

8. (1) The given number series is based on the following pattern
1² = 1
2² = 4
3² = 27
4² = 256
5² = 3125
6² = 46656
Hence 46658 is the wrong number.

9. (4) The given number series is based on the following pattern
18000 ÷ 5 = 3600
3600 ÷ 5 = 720
720 ÷ 5 = 144  142.2
144 ÷ 5 = 28.3
28.8 ÷ 5 = 5.76
Hence 142.2 is the wrong number.

10. (5) The given number series is based on the following pattern :
12 + 15² = 12 + 225 = 237
237 + 13² = 237 + 169 = 406
406 + 11² = 406 + 121 = 527
527 + 81 = 608
608 + 7² = 608 + 49 = 657
Hence 604 is the wrong number.

11. (3) The given number series is based on the following pattern :
3 × 7 + 2 × 7 = 21 + 14 = 35
35 × 6 + 3 × 6 = 210 + 18 = 228  226
228 × 5 + 4 × 5 = 1140 + 20 = 1160
1160 × 4 + 5 × 4 = 4640 + 20 = 4660
4660 × 3 + 6 × 3 = 13980 + 18 = 13998
Hence 226 is the wrong number

12. (2) The given number series is based on the following pattern :
18 × 7 - 7 = 126 - 7 = 119
119 × 6 - 6 = 714 - 708
708 × 5 - 5 = 3540 - 5 = 3535  3534
3535 × 4 - 4 = 14140 - 4 = 14136
Hence 3534 is the wrong number.

13. (5) 5 + 2² = 5 + 4 = 9
9 + 3² = 9 + 9 = 18
18 + 4² = 18 + 16 = 34
34 + 5² = 34 + 25 = 59
59 + 6² = 59 + 36 = 95
? = 95 + 7² = 95 + 49 = 144

14. (1) 1200 ÷ 2.5 = 480
480 ÷ 2.5 = 192
192 ÷ 2.5 =76.8
76.8 ÷ 2.5 = 30.72
30.72 ÷ 2.5 = 12.288
? = 12.288 ÷ 2.5 = 4.9152

15. (3) 963 - 1 × 36 = 963 - 36 = 927
927 - 2 × 36 = 927 - 72 = 855
855 - 3 × 36 = 855 - 108 = 747
747 - 4 × 36 = 747 - 144 = 603
603 - 5 × 36 = 603 - 180 = 423
? = 423 - 6 × 36 = 423 - 216 = 207

16. (2) 29 × 29 = 841
31 × 31 = 961
33 × 33 = 1089
35 × 35 = 1225
37 × 37 = 1369
39 × 39 = 1521
? = 41 × 41 = 1681

17. (4) 18 × 1 + 2 = 18 + 2 = 20
20 × 2 + 4 = 40 + 4 = 44
44 × 3 + 6 = 132 + 6 = 138
138 × 4 + 8 = 552 + 8 = 560
560 × 5 + 10 = 2800 + 10 = 2810
? = 2810 × 6 + 12 = 16860 + 12 = 16872

18. (3) 4 × 1 + 2 = 4 + 2 = 6
6 × 2 + 3 = 12 + 3 = 15  18
15 × 3 + 4 = 45 + 4 = 49
49 × 4 + 5 = 196 + 5 = 201
201 × 5 + 6 = 1005 + 6 = 1011

19. (5) 48 × 3/2 = 72 
72 × 3/2 = 108
108 × 3/= 162 
162 × 3/2 = 243
243 × 3/2 = 364.5  366

20. (1) 2 × 6 + 7 × 6 = 12 + 42 = 54
54 × 5 + 6 × 5 = 270 + 30 = 300
300 × 4 + 5 × 4 = 1200 + 20 = 1220
1220 × 3 + 4 × 3 = 3660 + 12 = 3672  3674
3672 × 2 + 3 × 2 = 7344 + 6 = 7350