Number series questions are central
to all bank exams.
Practice with selective questions
that cover the full range of number series
problems in Bank exams.
1.Notice, if the order of number given is ascending
( smaller to larger number) or
descending ( larger to smaller number).
if the numbers increase or decrease a little
then we have the addition or subtraction
If the numbers increase or decrease a lot
then we have multiplication or division.
2.Calculate the differences between
those that are next to each other.
3. Find the pattern that applies
Find the pattern that applies
to get from one number to
the next number in the sequence.
Questions examples
Example Question#1
Find the missing number in the following set:
3, 10, 24, x, 108, 220
We can solve it in 2 ways.
Α way
Calculate the differences between
those that are next to each other.
10-3=7
24-10=14
108-52=56
220-108=112
The number series of the differences is:
7,14, x, 56, 112
Notice that every term is multiple by 2
7X2=14 56X2=114
The number series is GP with common ratio 2
So the number series of differences is:
7, 14, 28, 56, 112
Therefore the missing number is:
24+28=52
B way
The rule is as follows:
add 2 to the previous number then multiply times 2.
(3+2)x2=10
(10+2)x2=24
(24+2)x2=52
(52+2)x2=108
(108+2)x2=220
Correct answer is:
52
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Example Question#2
Find the missing number in the following set:
5 ,17 ,29, x, 53, 65
Calculate the differences between
those that are next to each other.
17-5=12
29-17=12
65-53=12
To each number we add 12 and find the next number.
Therefore:
29+12=41
Correct answer:
41
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Example Question#3
ee
Find the missing number in the following set:
8, 16, x, 64, 128, 256
Calculate the differences between
those that are next to each other.
16-8=8
128-64=64
256-128=128
We observe that to find the next number
in the series we multiply by 2.
8Χ2=16
64Χ2=128
128Χ2=256
Therefore the missing number is:
16X2=32
Answer is:
32
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Example Question#4
Select the number that can replace the question mark (?)
in the following series.
3, 3, 9, 45, 315, ?
A) 945 B) 1050 C) 2835 D) 2205
3X1=3
3X3=9
9X5=45
45X7=315
We observe that the numbers by which they are multiplied are
1,3,5,7
It is an arithmetic progression with difference 2
The next term is 7+2=9
So the missing number in the given series is:
315 x 9=2835
Correct answer is C
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Example Question#5
Study the given pattern carefully and select the number
that can replace the question mark (?) in it.
(7, 21, 3) (8,72, 9) (12,84, ?)
A)10 B) 9 C) 7 D)6
First 7x3=21
Second 8x9=72
Third 12 x ?=84
Therefore 12x7=84
Correct is C=7
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Example Question#6
8, 4, 4, 8, 32, ?
A) 8 B) 64 C)256 D) 16 E) 128
The pattern is:
8x1/2=4
4x(2x1/2)=4x1=4
4x2=8
8x4=32
The numbers with which we multiply are a Geometric progression
First term is 1/2 and common ratio is 2
1/2, 1, 2, 4, 8
Therefore the next term is 32X8=256
Write answer is C 256
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Example Question#7
What will come in place of question mark (?)
4, 5, 12, 39, 160, ?
(A) 324 (B) 434
(C) 685 (D) 715
(E) 805
4*1+1 = 5
5*2+2 = 12
12*3+3 = 39
39*4+4 = 160
160*5+5 = 805
Answer is option E
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Example Question#8
What will come in place of question mark (?)
8, 7, 12, 44, ?
Solution
The pattern is:
8X1-1=7
7X2-2=12
12X4-4=44
44X8-8=344
Answer is 344
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Example Question#9
What will come in place of question mark (?)
2, 9, 28,? , 126, 217
The pattern is:
1^3 +1=2
2^3+1=9
3^3+1=28
4^3+1=65
5^3+1=126
6^3+1=217
Correct answer is 65
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Example Question#10
What will come in place of question mark (?)
8, 9, 24, 125, ?
The pattern is:
8X1+1=9
9X3-3=24
24X5+5=125
125X7-7=868
The missing number is:
868
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