Number Series Question Answer - MCQ Village

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## Problem 1 : 7, 11, 15, 19, 23, ?

Solution :
Look at the series and try to identify what is pattern?
Series is in increasing (ascending) order.
How much added in 7 to get 11? -> 4
How much added in 11 to get 15? -> 4
How much added in 15 to get 19? -> 4
How much added in 19 to get 23? -> 4

To find number in place of ? we need to add 4 to 23.
23+4=27.

## Problem 2 : 8, 12, 17, 23, 30, ?

Solution :
Look at the series and try to identify what is pattern?
All numbers are increasing order.
How much added in 8 to get 12-> 4
How much added in 12 to get 17-> 5
How much added in 17 to get 23 -> 6
How much added in 23 to get 30-> 7

o find number in place of ? we need to add 8 in 30
30+8 = 38

## Problem 3 : 45, 35, 25, 15, ?

Solution :
Look at the series and try to identify what is pattern?
It is in decreasing (descending) order.
How much to be subtracted from 45 to get 35 -> 10
How much to be subtracted from 35 to get 25 -> 10
How much to be subtracted from 25 to get 15 -> 10

To find number in place of ? we need to subtract 10 from 15
15-10 = 5

## Problem 4 : 72, 63, 54, 45, ?

Solution :
Look at the series and try to identify what is pattern?
It is in decreasing (descending) order.
If look at the numbers carefully and you know table of 9, you can easily figure it out that
all numbers are from table of 9.
How much to be subtracted from 72 to get 63 -> 9
How much to be subtracted from 63 to get 54 -> 9
How much to be subtracted from 54 to get 45 -> 9

To find number in place of ? we need to subtract 9 from 45
45-9 = 36

## Problem 5: 4, 8, 16, 32, ?

Solution :
Look at the series and try to identify what is pattern?
With which number 4 is to be multiplied to get 8-> 2
With which number 8 is to be multiplied to get 16-> 2
With which number 16 is to be multiplied to get 32-> 2

To find number in place of ? we need to multiply 32 by 2.
32*2 = 64

## Problem 6: 8, 12, 18, 27, ?

Solution :
Look at the series and try to identify what is pattern?
As it is increasing try to see if addition pattern exists.

Not able to see any pattern of addition and So we will check for multiplication.
So there is multiplication factor 1.5
Note here multiplication factor can be decimal as well.
Pattern: Number is multiplied by 1.5 to get next number.

To find number in place of ? we need to multiply 27 by 1.5
Multiplication by 1.5 means adding half of number to it.
27+ (27/2) = 27+ 13.5 = 40.5

## Problem 7: 200, 100, 50, 25, ?

Solution :
Look at the series and try to identify what is pattern?
With which number 200 is to be divided to get 100-> 2
With which number 100 is to be divided to get 50-> 2
With which number 50 is to be divided to get 25-> 2

To find number in place of ? we need to divide 25 by 2.
25/2 = 12.5

## Problem 8: 270, 90, 30, ?

Solution :
Look at the series and try to identify what is pattern?
With which number 270 is to be divided to get 90-> 3
With which number 90 is to be divided to get 30-> 3
Pattern: Number is divided by 3 to get next number.

To find number in place of ? we need to divide 30 by 3.

## Problem 9: 7, 13, 19, 29, ?

Solution :
Looking at all terms we can figure out that all are prime number.
Pattern: After current number consecutive 1st prime number is ignored and 2nd prime
number is taken as next number in series

To find number in place of ? we need to find 2nd consecutive prime number after 29.
1 st Prime number after 29 : 31
2 nd Prime number after 29 : 37

## Problem 10: 61, 59, 53, 47, ?

Solution :
Looking at all terms we can figure out that all are prime number.
Pattern: After current number previous consecutive 1st prime number is taken as next
number in series

To find number in place of ? we need to find 1st previous consecutive prime number
before 47.
Previous prime number of 47 : 43

## Problem 11 : 23, 25, 27, 29, 31,?

Solution :
Looking at all terms we can figure out that all are odd numbers.
This can be solve with approach of addition as well as odd number.
Consecutive odd number of 23 ->25
Consecutive odd number of 25 ->27
Consecutive odd number of 27 ->29
Consecutive odd number of 29 ->31
To find number in place of ? we need to find consecutive odd number after 31.

## Problem 12: 60, 45, 58, 43, 56, 41, ?

olution:
Sometimes it may happen that pattern is not in continuous numbers but in alternate
numbers.
Pattern: Even numbers are decreasing on 1st , 3rd and 5th term and odd numbers are
decreasing in 2nd,4th and 6th position

To find number in place of ? we need to find previous consecutive even number before
56.

## Problem 13: 4 ,-8, 16, -32 ,64,?

Solution:
Pattern: Number is multiplied by -2 to get next number.

## Problem 14: 16, 33, 65, 131, 261, ?

Pattern: 1st number multiplied by 2 and 1 added. 2nd number multiplied by 2 and 1 is
subtracted.

## Problem 15: 165, 195, 255, 285, 345, ?

Pattern: 30 added in 1st number to get 2nd number and 60 gets added to get 3rd number.
Subsequently 30 and 60 are added to get next numbers in series.

## Problem 16:7,26,63,124,215,342,?

Pattern: 1 number is added to current number and cube of it is calculated and then 1 is
reduced from it.

## Problem 17 8,7,11,12,14,17,17,22,?

Solution :
Pattern: Alternate number series with add 3 and 5 in both sub-series.
8,11,14,17,20
7,12,17,22.

## Problem 18 – 11, 13, 17, 19, 23, 29, 31, 37, 41, ?

Solution :
Pattern: If you look at all numbers, all are prime numbers and consecutive prime
numbers.
After 41 next prime number -> 43