# Sakib Knows The Number!

Ragib: I got digits of a 2 digit number

Sakib: Is it an odd?

Ragib: Yes. Moreover, the sum of the digits of the number is a prime!

Sakib: The difference of the digits of the number is also a prime?

Ragib: Of course! Last of all, the multiply of the digits is equal to one of the digits!!

Sakib: Oh no! I know the number. It’s your roll number!

What is that number!

The digits may be 1,2,3,4,5,6,7,8,9,0.

Since two digit number, 0 can only be put in the second digit position.

But that will make the number even. So 0 is not any of the digits!!

1* any digit=1 or the digit

2*any digit(not 1) = not 2 or not the digit

3*any digit(not 1) = not 3 or not the digit

4*any digit(not 1) = not 4 or not the digit

5*any digit(not 1) = not 5 or not the digit

6*any digit(not 1) = not 6 or not the digit

7*any digit(not 1) = not 7 or not the digit

8*any digit(not 1) = not 8 or not the digit

9*any digit(not 1) = not 9 or not the digit

So its clear one digit is 1.

So the number may be 11,21,31,41,51,61,71,81,91.

But the sum of the 2 digit is also a prime!

So 31,51,71,81,91 will be ignored!

Now the answer may be 11,21,41,61

But the difference of the digit also is a prime!!

So 11,21 will be ignored!!!!

So the answer is 41/61…..

What a puzzle…!!!

numbers that follow odd and sum of digits is a prime are :11,21,23,25,29,41,43,49,61,65,67,83,85.

among these numbers follows “difference of digits also prime” are : 25,29,41,47,49,61,83,85.

last but not least , product of digits is same as one of it’s digits means one digit should be 1.

So Answer is 41 or 61.

### Your Answer

## More puzzles to try-

### How would you survive?

Imagine you are in a sinking rowboat surrounded by sharks. How would you survive?Read More »### Find the number of brother and sister

A family I know has several children. Each boy in this family has as many suters as brothers but each ...Read More »### How many holes are there in the T-Shirt puzzle

How many holes are there in the T-Shirt whatsapp PuzzleRead More »### The Fruit Vendor

A fruit vendor bought 100 pounds of berries for $2.00 per pound and expected to double his investment by selling ...Read More »### How did the detective know it was suicide?

A man is found hanging in an ice factory. there is no sign of violence and a pool of water ...Read More »### Orange in the Basket riddle

Five oranges are in a basket. How do you divide them among five Boys so that each Boy gets an ...Read More »### Enemy of good and right

He is the enemy of all that is good and right. Five letters—that is the length of my name. Remove ...Read More »### Toss a Coin

If you toss a coin 10 times and it lands heads up every time, what are the chances it will ...Read More »### Brick and abuilding Riddle

How many bricks does it take to complete a building made of brick?Read More »### How did the detective know?

A man was found dead in his study. He was slumped over his desk and a gun was in his ...Read More »### CODING-DECODING

In a certain code language, GERMANY is written as H2SN1OZ and BELARUS is written as C2M1S5T. How is FRANCE written ...Read More »### Word inside the riddle

What is the word inside the riddle ?Read More »### The king and two poisons

There is a kingdom and in the kingdom when you drink a poison the only way to cure yourself is ...Read More »### Confidential mail puzzle

X wants to send a Confidential message to his friend Y in the mail. But Z (X’s Friend), who X ...Read More »### Eye colour of Driver

You are a bus driver at a station. 12 get on the bus and one gets off. You drive 11 ...Read More »### Psycho killer

A building has 16 rooms, arranged in a 4×4 grid. There is a door between every pair of adjacent rooms ...Read More »### Make vegetable pizza in damaged microwave puzzle

You have a microwave whose timer is damaged and you don’t have any other watch except two hourglasses, Hourglass A ...Read More »### Fount in Caves

It is first found in caves, now prolific online; It is a depiction, a drawing, a symbol, or sign. It ...Read More »### The Month Rebus

Can you guess the name of the month by looking at the below rebus?Read More »### How much water evaporated?

There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon’s weight is water. After ...Read More »