#### ElitmusZone

ElitmusZone » Cryptarithmetic Problem 1

# Cryptarithmetic Problem 1 1. Value of A ? (a) 5 (b) 6 (c) 7 (d) 9
 2. Value of R + P + A + D ? (a) 20 (b) 21 (c) 23 (d) 24
 3. Value of P ? (a) 6 (b) 7 (c) 8 (d) 9

Video Solution

1. surabhi

I googled so much to find a proper elitmus pattern and other information related to it,but no where i was able to find something so informative and proper like this.Commendable work!!
Thanks a lot

2. Gokul

for P why 0 is not considered and for A why not 1 apart form 6 and 5?

1. ElitmusZone Post author
```(For explanation only)
Let's take P=0
```
```                 A  0  D
x  A  D
R  0  A  D
D  D  C  D
D  0  C  E  D
If you will take P=0, then Value of R + D =_0 (10)
So, the carry will be 1. But in the next addition (highlighted in red color). Value of D is present without addition of carry (1).
[ i.e. D + 1= _x(Expected value after taking P=0)(x may take any values]

A  9  D
x  A  D
R  9  A  D
D  D  C  D
D  9  C  E  D

So, you cannot take value of P=0. It will not satisfy the whole problem.
If you  start solving the problem after taking P=0, at some stage value of P=0 will be rejected.

Please go through the Cryptarithmetic tutorial. ```
2. manavi

we don’t take p as zero bz if we do so, any no we multiply to p becomes zero ie a becomes zero (D*P=_A)

3. Ranjani Kumari

Because P+C=C, so this possible only when P ={0,9}. If we take P=0, multiplying anything with p i.e, 0 will give P. which is not coming as true here. so p=9. And for why A not equal to 1. because if A-1, when multiplied by A P D it should give same A P D which is not true here.

1. Ranjani Kumari

Because P+C=C, so this possible only when P ={0,9}. If we take P=0, what happens explanation is given. So, P=9. And for why A not equal to 1, because if A-1, when multiplied by A P D it should give same A P D which is not true here.

3. ria

795*75

4. Preetam

Here C could be 1,4

if c=1 solution in the option may be differ as expected.

5. chatura

can we solve this example by using unit digit method only without applying any other rules??

1. ElitmusZone Post author

Hello Chatura,

Yes, you can solve this problem using the unit digit Method.

6. Akash Jain

Really Great work 🙂

7. Kunubal Kant

Start Analysing from D , as it is the only letter here Which should be either 5 or 6.

Because when D should be multiplied by D itself then the Units place of the new no. should be D only. And this is only possible if ,
D={5,6}

However the correct value of D is 5 .

1. Karhik

Why cant we take D as 1?

1. Kunubal Kant

Dear Karhik,

Yes D can be 1.

But assuming D=1 will not give you the solutions(Why ?)
Because if D=1 then Cryptarithmetic Problem will be so much easier to solve, which you should never expect from elitmus.

So, whenever these situation comes D*D=D(unit place) , then better to try first with D={5,6}

8. Raviranjan

why c=6, we can take c=1,4,6,8…, i didnt get it make me understand.. thanks…

9. shubham

can c take 1?

10. Monika Narayan

why c = 6 ?
y can cant we take c = 1,4,8..
Am nt getting it..
plzz help me out here…..