Number Series Completion Pattern: Verbal Reasoning

Number Series Completion Pattern: Verbal Reasoning

In this Post we will discuss all the questions based on number series. In this type of questions candidate have to follow a definite pattern throughout the series. The task for the candidate is to follow the pattern and to complete the given series with the best alternative or to find the wrong term in the series

DIFFERENT PATTERNS OF NUMBER SERIES

Pattern 1: When the difference between the consecutive numbers is same/ constant or the number series is in arithmetic progression. 

a, a + d, a + 2d, a + 3d, a + 4d, ........, a + (n – 1)d. 

Where a is first term, d is the common difference

Example 1: 24, 21, 18, ?, 12, 9. 

Where the difference is -3, answer is 15

Pattern 2: Any constant number is added to the difference of the consecutive numbers and form a series. 

Example 2: 2, 4, 8, 14, 22, 30,.....

Next No. is 32    

2,       4,        8,        14,     22,      30,      32

|_____|_____|_____|_____|_____|_____|

  2       (2+2)   (4+2)  (6+2)   (8+2)

  

Example 3: 3, 4, 6, 9, 13, 18, __, 

Answer is 24

3        4         6        9         13        18   24

|_____|_____|_____|_____|_____|_____|

  1           2        3       4        5         6

Number Series Completion Pattern: Verbal Reasoning {Himexam.com}

Pattern 3: Multiplication or division Pattern

When a series is multiplied or divide by certain constant. 

Example 4: 6174, 882, 126, ?. 

Answer is 18, the series is divisible by 7.

 Example  5: 1, 2, 3, 6, 9, 18, ?, 54

 (a) 18  (b) 27 (c) 36 (d) 81   (e) None of these

Solution: The given series is in the pattern × 2, × 3/2, × 2, × 3/2, ×2,..... So, the missing term is 18 × 3/2 = 27

Pattern 4: When a series follows the following pattern add, multiply, add, multiply, add,.... or add, substract, add, substract, add,.... etc.

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

Solution:     4         6       12       14         28     30   60

                    |_____|_____|_____|_____|_____|_____|

                       +2        ×2     +2      ×2       +2        ×2 

60 is the next number

Example 7: 8, 28, 116, 584, ? 

 (a) 1752

 (b) 3502 

(c) 3504 

(d) 3508 

(e) None of these

 Solution: The given series is in the pattern: × 3 + 4, × 4 + 4, × 5 + 4, ..... (8 × 3) + 4 = 28 (28 × 4) + 4 = 116 (116 × 5) + 4 = 584 (584 × 6) + 4 = 3508 So, the missing term is 584 × 6 + 4 = 3508.

Example 8: 3 4 10 33 136 685 ? 

(a) 3430 (b) 4802 (c) 5145 (d) 4116 (e) 5488 

Solution: In this particular Series, the pattern is 3 × 1 + 1 = 4; 4 × 2 + 2 = 10; 10 × 3 + 3 = 33; 33 × 4 + 4 = 136; 136 × 5 + 5 = 685; 685 × 6 + 6 = 4116. Hence option (d)

Pattern 5: Series with Square or cube or square root or cube root of the number.

 Example 9: 1, 9, 25, 49, ?, 121 

(a) 64 (b) 81 (c) 91 (d) 100 (e) None of these 

Solution: The given series consists of squares of consecutive odd numbers i.e 12, 32, 52, 72,..... So, the missing term = 9 Square = 81

Pattern 6: 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), ........., nth term of the series be : (n(n+1) divide by 2

Example 10: 1, 3, 6, 4, 15, 21, ...... find the 15th term of the series?

Solution:: 15th term =(n(n+1) divide by 2 i.e (15(15+1)/2 =120 where n =15

Number Series Completion Pattern: Verbal Reasoning {Himexam.com}

Pattern 7: Product of the digits and summation with any constant, gives next number of the series.

 Example 11: 69, 55, 26, 13, 5 [Find the Wrong term of the Series] 

(a) 69 (b) 55 (c) 26 (d) 13 (e) 5 

Solution::  We found that the series contains each term is one more than the product of the digits of the preceding term. Thus (6 × 9 ) + 1 = 55, (5 × 5) + 1 = 26, (2 × 6 ) + 1 = 13, (1 × 3) + 1 = 4. Hence option (e).

Pattern 8: Difference Between the adjacent numbers increases by a constant number. 

Example 12:2, 7, 17, 32, ..?…….

 (a) 42 (b) 52 (c) 47 (d) 27 (e) 62 

Solution:: In this particular series the gap between the numbers are 5, 10, 15, ...so the next difference must be 20. Than the next number be 52. Hence option (b)

Pattern 9: Percentage increasing and decreasing pattern 

Example 13: 105, 94.5, 103.95, 93.56, ..?...

 (a) 102.91 (b) 102.98 (c) 102.95 (d) 103. 91 (e) none of these 

Solution:: In this particular Series the numbers are arranged on percentage increase and decrease pattern. As first there is 10% decrease and than 10% increase..i.e 105 – 10% of 105 = 94.5, 94.5 + 10% of 94.5 = 103.95 ..and so on. Hence option (a) 102.91 is the very next number of the series

Pattern 10: Division or Multiplication with increasing and decreasing numbers.

Example 14: 51975, 9450, 2100, 600, 240, 160 ? 

(a) 80 (b) 120 (c) 320 (d) 240 (e) 300

Answer:- Option c

Example 15: 16, 12, 18, 40.5, 121.5, 455.625 ?

 (a) 2050.1125 (b) 2050.2125 (c) 2050.3125 (d) 2050.4125 (e) 2050.5125 

Solution::The pattern of the above Series: 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, ......, 455.625 × 4.50 = 2050.3125. Option (c)

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