SERIES

NUMBER SERIES:

Identify the pattern and apply it to the number before / after the missing number in the series to get the right answer.

NUMBER SERIES PATTERNS:

  1. Prime Numbers: Given below is a series of prime numbers.
    Example: 11, 13, 17, 19...
  2. Squares / Cubes of numbers: Given below are example of series of perfect square or cube roots.
    Example:
    Square of number, 92 = 81, 102 = 100, 112 = 121, 122 = 144, 132 = 169.....
    Cube of number. 43 = 64. 53 = 125. 63 = 216, 73 = 343.....
  3. Patterns in differences: Calculate the difference between the given numbers in the series.
    Example : 2, 5, 8, 11, 14... (The difference between the numbers here is 3, hence the next number will be 17)
  4. Geometric Series: It is a case where each successive number in the series is obtained by multiplying or dividing the previous number by a fixed number.
    Example: 5, 45, 405, 3645
  5. Odd One Out: When one number is not a part of a series, for example: 5, 10, 12, 15, 20... (Here all numbers except, 12 are multiples of 5)
  6. n2-1 Series: Example: 0, 3, 8, 15, 24, 35, 48, ………
  7. n2+1 Series: Example: 2, 5, 10, 17, 26, 37, ........., 65.
  8. The middle digit is the sum of the other two digits. Example: 165, 121, etc

ALPHABET SERIES

While solving the problems based on alphabets, please remember the exact position of every alphabet in forward as well as in backward or reverse orders, as given below:
Positions of letters in forward alphabetical order:

Positions of letters in backward or reverse alphabetical order:

Here, the mth element counted from left to right of a series of x characters is equal to (x + 1 - m)th element counted from right to left of that series.

Example :

Counting from left to right, find the position of J in the above given series.
Position of "J" in the English alphabet from left to right is 10. Thus m = 10
Position of J in the above given series from right to left would be (26 + 1 - 10) = 17
The first half of the alphabet series is from A to M., i.e., 1 - 13 and the second half is from N to Z. i.e., 14 - 26

Tricks:

I. EJOTY: You can locate the position of the letters easily and quickly (i.e. from left to right), using the trick called EJOTY.