(Reasoning Tricks) Number Series for SSC, Railway, Bank Exams

Number Series Completion

Pattern - series is multiplied or divide by certain constant.

Exp: 1, 2, 3, 6, 9, 18, ?, 54 

Hint:
× 2, × 3/2, × 2, × 3/2, ×2,.....



Pattern : When a series follows the following pattern add, multiply- add, multiply- add,.... or add, substract- add, substract- add,.... etc.

Ex: 4, 6, 12, 14, 28, 30, .....


Hint:
+2, ×2, +2, ×2, +2, ×2



Pattern : Series with Square or cube or square root or cube root of the number.
Ex: 1, 9, 25, 49, ?, 121




*Pattern: TRIANGULAR NUMBER
When any number series is in the form a, a + (a +1), a+ (a+1)+ (a+2), a + (a+1)+ (a+2) + (a+3), ........., 

i.e. Consecutive Gap: (a +1), (a+2), (a+3),


(if a=1), nth term of the series be [n(n+1)/2]


Ex: 1, 3, 6, 10, 15, 21, ...... find the 15th term of the series?

Ans (for n=15) 15th term = 151




Pattern:- Product of digits and summation with any constant, gives next number of the series.

Ex: 69, 55, 26, 13, 5 [Find the Wrong term of the Series]

Hint:
(6 × 9 ) + 1 = 55, (5 × 5) + 1 = 26, (2 × 6 ) + 1 = 13, (1 × 3) + 1 = 4.0




Pattern:- Percentage increasing and decreasing pattern
Ex: 105, 94.5, 103.95, 93.56, ..?...

Hint:
105 – 10% of 105 = 94.5, 94.5 + 10% of 94.5 = 103.95 




Pattern:- Division or Multiplication with increasing and decreasing numbers.

Ex: 51975, 9450, 2100, 600, 240, 160 ?

Hint:
÷5.5,  ÷4.5,  ÷3.5, ÷2.5, ÷1.5, ÷0.5


Ex: 16, 12, 18, 40.5, 121.5, 455.625 ?

Hint:
16 × 0.75 = 12, 
12 × 1.5 (i.e 0.75 + 0.75 = 1.5) = 18
18 × 2.25 (i.e 1.5 + 0.75 = 2.25) = 40.5
40.5 × 3 (i.e 2.25+ 0.75) = 121.5,

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Important Ques

4). 3, 15, ?, 63, 99, 143 

>See if the numbers are near to any square number
(2x2 – 1), (4x4 – 1),.......... (8x8 – 1), (10x10 – 1), (12x12 – 1).

2). 1, 1, 2, 6, 24, ?, 720

×1, ×2, ×3, ×4, .........

3). 6, 13, 28, 59, ? 

 ×2 + 1, × 2 +2, × 2 + 3,.......


5). 5760, 960, ?, 48, 16, 8

 ÷ 6, ÷ 5, ÷ 4,÷ 3, ÷ 2.


1). 1, 5, 13, 25, 41, ?


Use gap method. (+ 4, + 8, + 12,+ 16, ..........)

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