number series

Solve this logical number series puzzle by replace question mark with the correct number
9090 = 4
1234 = 0
6055 = 2
9081 = 4
8888 = ?

series, JMO

The following number is formed by a special pattern and is the only 
one of its kind: 8549176320. 

What is the pattern?

Look and say sequence

The series given below is called the "look - and - say" sequence.

 

1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, ... 

To generate a member of the sequence from the previous member, one must read  the digits of the previous member, thus:

• 1 is to be  read as "one 1" or 11.
• 11 is to be  read as "two 1s" or 21.
• 21 is to be  read as "one 2, then one 1" or 1211.
• 1211 is to be  read as "one 1, then one 2, then two 1s" or 111221.
• 111221 is to be  read as "three 1s, then two 2s, then one 1" or 312211

series

fill in the next numbers:
2, 7, 10, 22, 18, 37, 26,........

series summation - JMO

Pages of a book are numbered from one onwards. A boy has torn one page of the book. If sum of page numbers of remaining pages of the book is 1620.
Then (1) find page number of torn page and
(2) How many pages the book had ?

JMO ---- STD V and VI

JMO VII and VIII -- series problems

If 

3! = 3 x 2 x 1;

4! = 4 x 3 x 2 x 1,

5! = 5 x 4 x 3 x 2 x 1

Then, find the value of 

1.1 ! + 2.2! + 3.3! + 4.4! + …… + 99.99!               

 JMO VII and VIII

series problems for STD V and STD VI

Questions on the application of the formulae:

For S = 1 + 2 + 3 + .....n terms = i.e. sum of natural numbers from 1 to n.
S = n (n+1)/2

1. S = ( 1 + 3 + 5 + ... 25 terms) + ( 2 + 4 + 6 ..... 25 terms)
2. S = (3 + 6 + 9 ...... 25 terms)
3. S = ( 2 + 4 + 6 + ...... 25 terms)
4. S = (1 - 1/5) + (1 - 2/5) + (1 - 3/5) + (1 - 4/5) + ..... 25 terms
5. S = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) +........ n terms
6. S = (2a - 3b) + (4a - 6b) + (6a - 9b) +.......... 25 terms, given a = 5 and b = 2

series JMO

solve this,
If
11 x 11 = 4
22 x 22 = 16
33 x 33 = 18
44 x 44 = ....................

series

Fill in the missing numbers:

1,2,6, 24, -------

Answer:

1                              2                              6                              24                           -----

                              1x 2                        1x2x3                    1x2x3x4                1x2x3x4x5

Therefore, answer = 120

series

Fill in the missing numbers:

5,11, 17,----33, 43

Answer:

5                              11                           17                   ----                         33                           43

        (5 + 17) / 2 = 11                                 (11+ x)/2 = 17        (23 + 43)/2 = 33

                                                                       x = 23                                                   

Therefore, 23  Answer

series

Fill in the missing numbers:

1,2,6,24,-----

Answer:

1                              2                              6                              24                           ----                        

1x2                         2x3                         6x4                         24x5

Therefore,  24 x 5 = 120  Answer

series

Fill in the missing numbers:

2,7, --------, 23, 34, 47

Answer:

2                              7                              -----                        23                           34                           47

5                              7                              9                              11                           13 (47 – 34)

Therefore,  7 + 7 = 14  Answer

series

Fill in the missing numbers:

4, ------, 20, 37, 60, 89

Answer:

4                              ----                         20                           37                           60                           89

5                              11                           17                           23                           29

                6                              6                              6                              6

Therefore,  4 + 5 = 9  Answer