#### 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

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.

2. 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. 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}