Ok, here I am providing you the sample multiplication questions of Elitmus exam.

Elitmus exam sample multiplication questions

Each Letter or Symbol represents only one digit throughout the problem

When letters are replaced by their digits, the resultant arithmetical operation must be correct.

Our aim is to find the value of each letter.

No two letters represent the same digit (If A = 2, B cannot be 2 and so on).

Number can't begin with 0

Rules are:

1. 0 * n = 0

2. 1 * n = n

3. 5 * odd number = x5
like 5 * 1 = 05 (x = 0)
5 * 3 = 15 (x = 1)
5 * 7 = 35 (x = 3)
5 * 9 = 45 (x = 4)

4. 5 * even number = always 0

like 5 * 2 = 0
5 * 4 = 0
5 * 6 = 0
5 * 8 = 0

5.. even number * 6 = (x)(even number) where x can be 1/2/4
like 2 * 6 = 12 (x = 1)
4 * 6 = 24 (x = 2)

8 * 6 = 35 (x = 4)

Rewrite the problem, expanding the interlinear space to make room for
trial numbers that will be written under the letters.

For example, the puzzle SEND + MORE = MONEY, after solving, will appear like
this:
S E N D
9 5 6 7

+ M O R E
1 0 8 5
---------------
M O N E Y
1 0 6 5 2

6. Search for "1" in multiplications or divisions

In this multiplication:
M A D
B E
-------
M A D
R A E
-------
A M I D
The first partial product is E x MAD = MAD. Hence "E" must equal "1". In math jargon this is called the "identity" property of "1" in multiplication; you multiply anything by "1" and it doesn't change, therefore it remains the same.Look this division:
K T
--------
N E T / L I N K
N E T
----------
K E K K
K T E C
----------
K E Y
In the first subtraction, we see K x NET = NET. Then K=1.

7. Search for "1" and "6" in multiplications or divisions

Any number multiplied by "1" is the number itself. Also, any even number multiplied by "6" is the number itself:
4 x 1 = 4
7 x 1 = 7
2 x 6 = 2 (+10)
8 x 6 = 8 (+40)
Looking at right hand digits of multiplications and divisions, can help you spot digits "1" and "6". Those findings will show like these ones:
C B
-------
* * A * * A / * * * * *
B C * * * C
-------- ------
* * * C * * * *
* * * B * * * B
--------- -------
* * * * * * * *
The logic is: if
C x * * A = * * * C
B x * * A = * * * B
then A=1 or A=6.

8. Search for "0" and "5" in multiplications or divisions

Any number multiplied by zero is zero. Also, any odd number multiplied by "5" is "5":
3 x 0 = 0
6 x 0 = 0
7 x 5 = 5 (+30)
9 x 5 = 5 (+40)
Looking at right hand digits of multiplications and divisions, can help you spot digits "0" and "5". Those findings will show like these ones:
C B
----------
* * A * * A / * * * * *
B C * * * A
------- ---------
* * * A * * * *
* * * A * * * A
--------- -------
* * * * * * * *
The logic is: if
C x * * A = * * * A
B x * * A = * * * A
then A=0 or A=5