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# Cryptaritmetic Multiplication 28

 1. Value of H ? (a) 5 (b) 6 (c) 7 (d) 8
 2. Which of the following set contains even numbers only ? (a) H, M, K (b) A, V, E (c) N, X, W (d) H, A, N
 3. Value of N ? (a) 6 (b) 7 (c) 8 (d) 9

In the question you can see that X+X=A and M is written as it is at last which means that there is no carry generated from X+X
This implies A is not greater than 9 and as X+X=A thus possible values of X could be {1,2,3,4} . X will not be 5 as 5+5=10 which would generate a carry.
Now use the possible values of X to began hit and trail on HMK×E cause it gives ANXX as a product.

2. Deepak Kumar(NIT Raipur)

A G E
O A T
————————————————————–
S O A R
H O G
G O T O
—————————————————————
G E C O I R

See either O+1=E or O+2=E because (S+H+T can give max upto 2 as remainder.) Also O*E=O that means there are two possibilities:-
1) Either O is 5 and E is an odd(thus O=5 and E=7 . E cannt be 6 cause O*E gives back E.)
2) Or O is any even number and E is 6.
But as we can see O+O+O=O which is possible if O=5. So put O=5 and E=7 and proceed.
Now
7
A G E
5
*O
———————————————–
5 5
G O T O
which is possible if A=3 and G =1. and it will give you T=8.
(Note – every time keep updating the mapping figure and terminate the trial if conflict occurs. )

Contact me on “deepdeepak@gmail.com” for more detail and help.