Dear Aspirants,
Study Notes: Quantitative Aptitude (Number Series)
In this post we have provided Study Notes of Number Series for all bank exams. These notes will be useful for all prestigious exams like IBPS, SBI, NABARD, RBI etc. In Banking or insurance exams, generally, two types of number series are asked. First one is Missing Number Series in which some numbers are given which are following a certain pattern. The student is expected to find out the missing number.
The second one is the Wrong Number Series in which some numbers are given but one number is wrong and does not follow the required pattern. The student is expected to find out the wrong number. Following patterns have been frequently asked in banking exams which are further explained below in detail. You can also go through Average: Notes, Concept & Shortcut for bank exams.
Single-stage difference
1. 3, 23, 63, ?, 303 , 623 (Ans: 143)
Pattern is:
+ 20, + 40, + 80, + 160, ………
2. 240, 205, 177, 156, 142, ? (Ans: 135)
Pattern is:
– 35, – 28, – 21, – 14, ………
Double stage difference
3. 12, 20, 30, 43, 60, ? (Ans: 82)
Pattern is:
Square
Series
Series
1 4. 121,
117, 108, 92,
67, ? (Ans:- 31)
117, 108, 92,
67, ? (Ans:- 31)
5. 8, 12,
28, 64, 128,
? (Ans:- 228)
28, 64, 128,
? (Ans:- 228)
Cubic Series
6 6. 107, 108,
100, 127, 63,
? (Ans:- 188)
100, 127, 63,
? (Ans:- 188)
Pattern is:
Square/Cubic
with Arithmetic
with Arithmetic
These types of series can also be solved by two/three-stage
difference
difference
7. 15, 15,
17, 23, 35,
? (Ans:- 55)
17, 23, 35,
? (Ans:- 55)
Pattern is:
8. 26, 63,
124, 215, ?, 511 (Ans:- 342)
124, 215, ?, 511 (Ans:- 342)
Pattern is:
9. 3, 5,
15, 45, 113,
? (Ans:- 243)
15, 45, 113,
? (Ans:- 243)
Pattern is:
Multiplication/Division
series
series
10. 32, 8, 4, 4, 8, ? (Ans:- 32)
Pattern is:
11. 108, 72,
36, 24, 12, ? (Ans:- 8)
36, 24, 12, ? (Ans:- 8)
Pattern is:
Mix type
series
series
12. 12, 26, 54, ?, 222, 446 (Ans:- 110)
13. ?, 8, 29, 152, 1073, 9668 (Ans:-
5)
5)
Pattern is:
14. 2, 17,
89, 359,
1079, ? (Ans:- 2159)
89, 359,
1079, ? (Ans:- 2159)
Pattern is:
Practice
Set
Set
1.
1028, 1012, 980, 932, 868, ?
1028, 1012, 980, 932, 868, ?
(a) 748 (b) 698 (c) 798 (d) 788 (e) 688
2.
6, 18, 42, 90, 186, ?
6, 18, 42, 90, 186, ?
(a) 390 (b) 384 (c) 360 (d) 370 (e) 378
3.
5, 12, 26, 47, 75, ?
5, 12, 26, 47, 75, ?
(a) 100 (b) 115 (c)
105 (d) 110 (e) 125
105 (d) 110 (e) 125
4.
36,
45, 63, 90,
126, ?
36,
45, 63, 90,
126, ?
(a) 171 (b) 165
(c) 174 (d) 161 (e) 181
(c) 174 (d) 161 (e) 181
5.
21,
30, 55, 104,
225, ?
21,
30, 55, 104,
225, ?
(a) 388 (b) 372 (c) 380 (d) 394 (e) 398
6. 2, 3,
6, 15, 45,
?
6, 15, 45,
?
(a) 1575 (b) 2575 (c) 157.5 (d) 257.5 (e) 158.5
7.
12,
13, 22, 47,
96, ?
12,
13, 22, 47,
96, ?
(a) 177 (b) 217
(c) 196 (d) 160 (e) 172
(c) 196 (d) 160 (e) 172
8.
12,
65, 264, ? ,
1592, 1593
12,
65, 264, ? ,
1592, 1593
(a) 760 (b) 795 (c) 780 (d) 785 (e) 775
9.
9,
5, 6, ? ,
23, 60, 183,
9,
5, 6, ? ,
23, 60, 183,
(a)
10.5
(b) 12 (c) 9.5 (d) 10 (e) 9
10.5
(b) 12 (c) 9.5 (d) 10 (e) 9
10. 5, 6,
21, 110, 777,
?
21, 110, 777,
?
(a) 6993 (b) 4668 (c) 7002 (d) 7780 (e) 8558