divisibility

If n is a positive integer and (n + 1)(n + 3) is odd, then show that (n + 2)(n + 4) must be a multiple of 8.

Number Puzzle

If A³ = _ _ _ _ 76, where A is an element of Natural number. Find A and all the missing numbers.

alphamatics, JMO

alphamatics, JMO

alphamatics, JMO

Alphamatics, JMO

The alphabets given below represent a unique number between 0 to 9.
find the alphabets

                    E   I   N
                    E   I   N
                    E   I   N
     +             E   I   N
------------------------
               V  I    E   R

Alphamatics, JMO

Each of the alphabets represent a unique number between 0 to 9.
find them

Z E R O E S
  + O N E S
-----------
B I N A R Y

alphamatics, JMO

If 9 x HATBOX = 4 x BOXHAT
where every Alphabet is unique and has a value of 0 to 9.
Find each of the digits represented by the alphabet.

alphamatics

A B C D E F
x                6
---------------
D E F A B C

All alphabets represent a unique digit between 1 to 9.

Find the values of the alphabets A,B,C, D, E, F

Alphamatics

 For questions on letter numbers (alpha-matics)
http://mathforum.org/library/drmath/sets/select/dm_letter_number.html

number, division --- JMO

 

numbers / Division - JMO

numbers, JMO

If x ε N in f(x) = 6x + 1 and g(x) = 6x – 1. Then the Venn diagram representation for f(x), g(x) and prime numbers P is given by:

  

numbers

Did you know that for 76 raised to the power of n, where n is an element of Natural numbers, the last 2 digits is always 76!

76¹ = 76

76² = 5776

76³ = 438976

76⁴ = 33362176

76⁵ = 2535525376 

number

Read the pattern:
666 x 666 = 443556
6666 x 6666 = 44435556
66666 x 66666 = 4444355556

numbers

show that the square of any prime number reduced by one is always divisible by 24.

JMO - numbers

How many twin prime numbers are there between 1 and 100?
Twin prime numbers are prime numbers which differ from each other by 2.

JMO --- numbers

We have a four-digit number that is a multiple of 9. Of the four digits, three of the consecutive digits are same. How many such numbers are possible?

JMO numbers

Between 1 to 10,000, how many times does the digit 7 appear?

JMO - Division

If S = 123456789101112................9979989991000

What will be the Remainder when S is divided by 9.