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# Cryptarithmetic Multiplication 33

 1. Which of the following set contains only even numbers ? (a) M, X, A (b) A, V, L (c) X, L, W (d) P, W, S
 2. Value of M ? (a) 9 (b) 8 (c) 2 (d) 3
 3. Which of the following set contains prime numbers only ? (a) A, V, P (b) M, X, A (c) A, V, L (d) S, P, W

1. SHEETAL KHATRI

Solution:
1. L * A=0
2. V*A=A
3. X*A=0
We can conclude that A=5
and using 2nd case we can say if A=5 then V=(3,7,9)
M X A
*L
A L V 0
cases: 1. A=5 L=2; 2. A=5 L=4; 3. A=5 L=6; 4. A=5 L=8

Using case 1: A=5 L=2
MX5
2
52V0. NOT POSSIBLE CASE FAILS

Case2 will also fail as when 4 gets multiplied with M ,it will never produce a number in 50’s.

Case 3:
A=5 L=6
MX5
6
56V0. M=9 X=4 V=7

MXA
*V
LL?A. We’ll obtain ?=1

Solving whole: P=3. S=8

9 4 5
*4 7 6
5 6 7 0
6 6 1 5
3780
449820

1. rony

A * L and A * X both result in unit place = 0 , this implies that A=0.
next in M X A * A = P V S O, take X=4(hit and trial) , it gives S = 8. now take M X A* L and put the obtained values in it. Follow the procedure now its easy to find.

2. SHEETAL KHATRI

Solution:
1. L * A=0
2. V*A=A
3. X*A=0
We can conclude that A=5
and using 2nd case we can say if A=5 then V=(3,7,9)
M X A
*L
A L V 0
cases: 1. A=5 L=2; 2. A=5 L=4; 3. A=5 L=6; 4. A=5 L=8

Using case 1: A=5 L=2
MX5
2
52V0. NOT POSSIBLE CASE FAILS

Case2 will also fail as when 4 gets multiplied with M ,it will never produce a number in 50’s.

Case 3:
A=5 L=6
MX5
6
56V0. M=9 X=4 V=7

MXA
*V
LL?A. We’ll obtain ?=1

Solving whole: P=3. S=8

9 4 5
*4 7 6
5 6 7 0
6 6 1 5
3780
449820